INDICE - diocesimaterairsina.it · 1. Oggetto Il presente documento si configura come Tabulati di calcolo relativamente agli interventi strutturali di consolidamento da eseguirsi

INDICE

INDICE .......................................................................................................................... 1

1.Oggetto ....................................................................................................................... 2

2.Modelli di calcolo redatti ............................................................................................. 2

3.Modello dell'ascensore ................................................................................................ 2

3.1Azioni di progetto sulla costruzione .......................................................................... 3

3.2Combinazioni e/o percorsi di carico .......................................................................... 5

3.3Normativa di riferimento ........................................................................................... 5

3.4Caratteristiche materiali utilizzati .............................................................................. 6

3.5Modellazione delle sezioni ...................................................................................... 23

3.6Modellazione struttura: nodi .................................................................................... 24

3.7Modellazione struttura: elementi trave ..................................................................... 28

3.8Modellazione struttura: elementi shell ..................................................................... 35

3.9Modellazione della struttura: elementi solaio-pannello ............................................ 40

3.10Modellazione delle azioni ...................................................................................... 43

3.11Schematizzazione dei casi di carico ....................................................................... 45

3.12Definizione delle combinazioni ............................................................................. 49

3.13Azione sismica ...................................................................................................... 63

3.14Risultati analisi sismiche ....................................................................................... 64

3.15Verifiche per elementi in acciaio ......................................................................... 191

4.Rampa piana della scala S2 ..................................................................................... 198

4.1Caratteristiche materiali utilizzati .......................................................................... 198

4.2Modellazione delle sezioni .................................................................................... 202

4.3Modellazione struttura: nodi .................................................................................. 203

4.4Modellazione struttura: elementi trave ................................................................... 204

4.5Modellazione della struttura: elementi solaio-pannello .......................................... 204




4.9Risultati nodali ...................................................................................................... 211

4.10Risultati elementi tipo trave ................................................................................. 213


5.Ultima rampa della scala S2 .................................................................................... 218_______________________________________________________________________________________________









5.9Risultati nodali ...................................................................................................... 229

5.10Risultati elementi tipo trave ................................................................................. 231


6.Scala S3 ................................................................................................................... 237









6.9Risultati elementi tipo trave ................................................................................... 249


7.Ultima rampa scala S4 ............................................................................................. 259









7.9Risultati elementi tipo trave ................................................................................... 272


2

8.Solai +23,20 e +28,84 con scala S5 ......................................................................... 279









8.9Verifiche per elementi in acciaio ........................................................................... 293

9.Solai +34,74 con scala S6 ........................................................................................ 296









9.9Verifiche per elementi in acciaio ........................................................................... 311

10.Solai +37,50 con scala S7 ...................................................................................... 313

10.1Caratteristiche materiali utilizzati ........................................................................ 314

10.2Modellazione delle sezioni .................................................................................. 317

10.3Modellazione struttura: nodi ................................................................................ 318

10.4Modellazione struttura: elementi trave ................................................................. 320

10.5Modellazione della struttura: elementi solaio-pannello ........................................ 321

10.6Modellazione delle azioni .................................................................................... 323

10.7Schematizzazione dei casi di carico ..................................................................... 325

10.8Definizione delle combinazioni ........................................................................... 326


11.Solai +42,10 con scala S8 ...................................................................................... 330

11.1Caratteristiche materiali utilizzati ........................................................................ 330

11.2Modellazione delle sezioni ................................................................................... 331

11.3Modellazione struttura: nodi ................................................................................ 333

3

11.4Modellazione struttura: elementi trave ................................................................. 335

11.5Modellazione della struttura: elementi solaio-pannello ........................................ 336

11.6Modellazione delle azioni .................................................................................... 338

11.7Schematizzazione dei casi di carico ..................................................................... 340

11.8Definizione delle combinazioni ........................................................................... 340


4

1. Oggetto

Il presente documento si configura come Tabulati di calcolo relativamente agli interventi strutturalidi consolidamento da eseguirsi sul campanile della Cattedrale di Santa Maria della Bruna di Materafinalizzati a rendere accessibile la torre campanaria. L’oggetto del presente progetto è sito nelComune di Matera alle seguenti coordinate geografiche (come indicato nella immagine seguente):

Latitudine: 40,66694 Nord

Longitudine: 16,6116 Est

Immagine 1 Localizzazione geografica dell'oggetto di studio

_________________________________________________________________________________________________________________________

5

Immagine 2 Vista da google maps del fabbricato in oggetto

2. Modelli di calcolo redatti

Si elencano i modelli di calcolo per la redazione del presente progetto:

1. Modello del campanile con le unità strutturali adiacenti

2. Modello dell'ascensore con le rampe di scale interagenti

3. Modello della rampa piana della scala S2

4. Modello della ultima rampa della scala S2

5. Modello della scala S3

6. Modello della ultima rampa della scala S4

7. Modello dei solai a quota +23,20 e a +28,84 e la scala a chiocciola S5

8. Modello della scala S6 con il relativo solaio a quota +34,74



_________________________________________________________________________________________________________________________

6

3. Modello dell'ascensore

Si propone l'assonometria tridimensionale del modello di calcolo considerato.

_________________________________________________________________________________________________________________________

7

3.1 Azioni di progetto sulla costruzioneNei capitoli “modellazione delle azioni” e “schematizzazione dei casi di carico” sono indicate le azioni sulla costruzioni.

Nel prosieguo si indicano tipo di analisi strutturale condotta (statico,dinamico, lineare o non lineare) e il metodo adottato per la risoluzione del problema strutturale nonché le metodologie seguite perla verifica o per il progetto-verifica delle sezioni. Si riportano le combinazioni di carico adottate e, nel caso di calcoli non lineari, i percorsi di carico seguiti; le configurazioni studiate per la strutturain esame sono risultate effettivamente esaustive per la progettazione-verifica.

La verifica della sicurezza degli elementi strutturali avviene con i metodi della scienza delle costruzioni. L’analisi strutturale è condotta con il metodo degli spostamenti per la valutazione dello statotensodeformativo indotto da carichi statici. L’analisi strutturale è condotta con il metodo dell’analisi modale e dello spettro di risposta in termini di accelerazione per la valutazione dello statotensodeformativo indotto da carichi dinamici (tra cui quelli di tipo sismico).

L’analisi strutturale viene effettuata con il metodo degli elementi finiti. Il metodo sopraindicato si basa sulla schematizzazione della struttura in elementi connessi solo in corrispondenza di un numeroprefissato di punti denominati nodi. I nodi sono definiti dalle tre coordinate cartesiane in un sistema di riferimento globale. Le incognite del problema (nell’ambito del metodo degli spostamenti) sonole componenti di spostamento dei nodi riferite al sistema di riferimento globale (traslazioni secondo X, Y, Z, rotazioni attorno X, Y, Z). La soluzione del problema si ottiene con un sistema di equazionialgebriche lineari i cui termini noti sono costituiti dai carichi agenti sulla struttura opportunamente concentrati ai nodi:

K * u = F dove K = matrice di rigidezza

u = vettore spostamenti nodali

F = vettore forze nodali

Dagli spostamenti ottenuti con la risoluzione del sistema vengono quindi dedotte le sollecitazioni e/o le tensioni di ogni elemento, riferite generalmente ad una terna locale all’elemento stesso.

Il sistema di riferimento utilizzato è costituito da una terna cartesiana destrorsa XYZ. Si assume l’asse Z verticale ed orientato verso l'alto.

Gli elementi utilizzati per la modellazione dello schema statico della struttura sono i seguenti:

· Elemento tipo TRUSS (biella-D2)

· Elemento tipo BEAM (trave-D2)

· Elemento tipo MEMBRANE (membrana-D3)

· Elemento tipo PLATE (piastra-guscio-D3)

· Elemento tipo BOUNDARY (molla)

· Elemento tipo STIFFNESS (matrice di rigidezza)

· Elemento tipo BRICK (elemento solido)

· Elemento tipo SOLAIO (macro elemento composto da più membrane)

Tipo di analisi strutturale

Statica lineare SI

Statica non lineare NO

Sismica statica lineare NO

Sismica dinamica lineare SI

_________________________________________________________________________________________________________________________

8

Sismica statica non lineare (prop. masse) NO

Sismica statica non lineare (prop. modo) NO

Sismica statica non lineare (triangolare) NO

Non linearità geometriche (fattore P delta) NO

Di seguito si indicano l’origine e le caratteristiche dei codici di calcolo utilizzati riportando titolo, produttore e distributore, versione, estremi della licenza d’uso:

Informazioni sul codice di calcolo

Titolo: PRO_SAP PROfessional Structural Analysis Program

Versione: PROFESSIONAL (build 2017-04-177)

Produttore-Distributore: 2S.I. Software e Servizi per l’Ingegneria s.r.l., Ferrara

Codice Licenza: Licenza dsi5036

Un attento esame preliminare della documentazione a corredo del software ha consentito di valutarne l’affidabilità e soprattutto l’idoneità al caso specifico. La documentazione, fornita dalproduttore e distributore del software, contiene una esauriente descrizione delle basi teoriche e degli algoritmi impiegati, l’individuazione dei campi d’impiego, nonché casi prova interamente risolti ecommentati, corredati dei file di input necessari a riprodurre l’elaborazione:

Affidabilità dei codici utilizzati

2S.I. ha verificato l’affidabilità e la robustezza del codice di calcolo attraverso un numero significativo di casi prova in cui i risultati dell’analisi numerica sono staticonfrontati con soluzioni teoriche.

E’ possibile reperire la documentazione contenente alcuni dei più significativi casi trattati al seguente link: http://www.2si.it/Software/Affidabilità.htm

Modellazione della geometria e proprietà meccaniche:

nodi 366

elementi D2 (per aste, travi, pilastri…) 271

elementi D3 (per pareti, platee, gusci…) 183

elementi solaio 19

elementi solidi 0

Dimensione del modello strutturale [cm]:

X min = -121.00

Xmax = 276.00

_________________________________________________________________________________________________________________________

9

http://www.2si.it/Software/Affidabilit

Ymin = -162.50

Ymax = 239.00

Zmin = -15.00

Zmax = 2194.80

Strutture verticali:

Elementi di tipo asta NO

Pilastri SI

Pareti SI

Setti (a comportamento membranale) NO

Strutture non verticali:

Elementi di tipo asta NO

Travi SI

Gusci NO

Membrane NO

Orizzontamenti:

Solai con la proprietà piano rigido NO

Solai senza la proprietà piano rigido SI

Tipo di vincoli:

Nodi vincolati rigidamente SI

Nodi vincolati elasticamente NO

Nodi con isolatori sismici NO

Fondazioni puntuali (plinti/plinti su palo) NO

Fondazioni di tipo trave NO

Fondazioni di tipo platea SI

Fondazioni con elementi solidi NO

3.2 Combinazioni e/o percorsi di caricoSi veda il capitolo “Definizione delle combinazioni” in cui sono indicate le combinazioni di carico adottate e, nel caso di calcoli non lineari, i percorsi di carico seguiti.

Combinazioni dei casi di carico

APPROCCIO PROGETTUALE Approccio 2

Tensioni ammissibili NO

SLU SI

_________________________________________________________________________________________________________________________

10

SLV (SLU con sisma) SI

SLC NO

SLD SI

SLO NO

SLU GEO A2 (per approccio 1) NO

SLU EQU NO

Combinazione caratteristica (rara) SI

Combinazione frequente SI

Combinazione quasi permanente (SLE) SI

SLA (accidentale quale incendio) NO

3.3 Normativa di riferimento

1. D.Min. Infrastrutture Min. Interni e Prot. Civile 14 Gennaio 2008 e allegate "Norme tecniche per le costruzioni".

2. D.Min. Infrastrutture e trasporti 14 Settembre 2005 e allegate "Norme tecniche per le costruzioni".

3. D.M. LL.PP. 9 Gennaio 1996 "Norme tecniche per il calcolo, l'esecuzione ed il collaudo delle strutture in cemento armato, normale e precompresso e per le strutture metalliche".

4. D.M. LL.PP. 16 Gennaio 1996 "Norme tecniche relative ai <<Criteri generali per la verifica di sicurezza delle costruzioni e dei carichi e sovraccarichi>>".

5. D.M. LL.PP. 16 Gennaio 1996 "Norme tecniche per le costruzioni in zone sismiche".

6. Circolare 4/07/96, n.156AA.GG./STC. istruzioni per l'applicazione delle "Norme tecniche relative ai <<Criteri generali per la verifica di sicurezza delle costruzioni e dei carichi esovraccarichi>>" di cui al D.M. 16/01/96.

7. Circolare 10/04/97, n.65AA.GG. istruzioni per l'applicazione delle "Norme tecniche per le costruzioni in zone sismiche" di cui al D.M. 16/01/96.

8. D.M. LL.PP. 20 Novembre 1987 "Norme tecniche per la progettazione, esecuzione e collaudo degli edifici in muratura e per il loro consolidamento".

9. Circolare 4 Gennaio 1989 n. 30787 “Istruzioni in merito alle norme tecniche per la progettazione, esecuzione e collaudo degli edifici in muratura e per il loro consolidamento”.

10. D.M. LL.PP. 11 Marzo 1988 “Norme tecniche riguardanti le indagini sui terreni e sulle rocce, la stabilità dei pendii naturali e delle scarpate, i criteri generali e le prescrizioni per laprogettazione, l'esecuzione e il collaudo delle opere di sostegno delle terre e delle opere di fondazione”.

11. D.M. LL.PP. 3 Dicembre 1987 “Norme tecniche per la progettazione, esecuzione e collaudo delle costruzioni prefabbricate”.

12. UNI 9502 - Procedimento analitico per valutare la resistenza al fuoco degli elementi costruttivi di conglomerato cementizio armato, normale e precompresso - edizione maggio 2001

13. Ordinanza del Presidente del Consiglio dei Ministri n. 3274 del 20 marzo 2003 “Primi elementi in materia di criteri generali per la classificazione sismica del territorio nazionale e dinormative tecniche per le costruzioni in zona sismica” e successive modificazioni e integrazioni.

14. UNI EN 1990:2006 13/04/2006 Eurocodice 0 - Criteri generali di progettazione strutturale.

15. UNI EN 1991-1-1:2004 01/08/2004 Eurocodice 1 - Azioni sulle strutture - Parte 1-1: Azioni in generale - Pesi per unità di volume, pesi propri e sovraccarichi per gli edifici.

16. UNI EN 1991-2:2005 01/03/2005 Eurocodice 1 - Azioni sulle strutture - Parte 2: Carichi da traffico sui ponti.

17. UNI EN 1991-1-3:2004 01/10/2004 Eurocodice 1 - Azioni sulle strutture - Parte 1-3: Azioni in generale - Carichi da neve.

18. UNI EN 1991-1-4:2005 01/07/2005 Eurocodice 1 - Azioni sulle strutture - Parte 1-4: Azioni in generale - Azioni del vento.

19. UNI EN 1991-1-5:2004 01/10/2004 Eurocodice 1 - Azioni sulle strutture - Parte 1-5: Azioni in generale - Azioni termiche.

20. UNI EN 1992-1-1:2005 24/11/2005 Eurocodice 2 - Progettazione delle strutture di calcestruzzo - Parte 1-1: Regole generali e regole per gli edifici.

21. UNI EN 1992-1-2:2005 01/04/2005 Eurocodice 2 - Progettazione delle strutture di calcestruzzo - Parte 1-2: Regole generali - Progettazione strutturale contro l'incendio.

22. UNI EN 1993-1-1:2005 01/08/2005 Eurocodice 3 - Progettazione delle strutture di acciaio - Parte 1-1: Regole generali e regole per gli edifici.

23. UNI EN 1993-1-8:2005 01/08/2005 Eurocodice 3 - Progettazione delle strutture di acciaio - Parte 1-8: Progettazione dei collegamenti.

_________________________________________________________________________________________________________________________

11

24. UNI EN 1994-1-1:2005 01/03/2005 Eurocodice 4 - Progettazione delle strutture composte acciaio-calcestruzzo - Parte 1-1: Regole generali e regole per gli edifici.

25. UNI EN 1994-2:2006 12/01/2006 Eurocodice 4 - Progettazione delle strutture composte acciaio-calcestruzzo - Parte 2: Regole generali e regole per i ponti.

26. UNI EN 1995-1-1:2005 01/02/2005 Eurocodice 5 - Progettazione delle strutture di legno - Parte 1-1: Regole generali – Regole comuni e regole per gli edifici.

27. UNI EN 1995-2:2005 01/01/2005 Eurocodice 5 - Progettazione delle strutture di legno - Parte 2: Ponti.

28. UNI EN 1996-1-1:2006 26/01/2006 Eurocodice 6 - Progettazione delle strutture di muratura - Parte 1-1: Regole generali per strutture di muratura armata e non armata.

29. UNI EN 1996-3:2006 09/03/2006 Eurocodice 6 - Progettazione delle strutture di muratura - Parte 3: Metodi di calcolo semplificato per strutture di muratura non armata.

30. UNI EN 1997-1:2005 01/02/2005 Eurocodice 7 - Progettazione geotecnica - Parte 1: Regole generali.

31. UNI EN 1998-1:2005 01/03/2005 Eurocodice 8 - Progettazione delle strutture per la resistenza sismica - Parte 1: Regole generali, azioni sismiche e regole per gli edifici.

32. UNI EN 1998-3:2005 01/08/2005 Eurocodice 8 - Progettazione delle strutture per la resistenza sismica - Parte 3: Valutazione e adeguamento degli edifici.UNI EN 1998-5:2005 01/01/2005 Eurocodice 8 - Progettazione delle strutture per la resistenza sismica - Parte 5: Fondazioni, strutture di contenimento ed aspetti geotecnici.

NOTA sul capitolo "normativa di riferimento": riporta l' elenco delle normative implementate nel software. Le norme utilizzate per la struttura oggetto della presente relazione sono indicate nelprecedente capitolo "RELAZIONE DI CALCOLO STRUTTURALE" "ANALISI E VERIFICHE SVOLTE CON L’AUSILIO DI CODICI DI CALCOLO". Laddove nei capitoli successivivengano richiamate norme antecedenti al DM 14.01.08 è dovuto o a progettazione simulata di edifico esistente o ad applicazione del punto 2.7 del DM 14.01.08

3.4 Caratteristiche materiali utilizzatiIl programma consente l’uso di materiali diversi. Sono previsti i seguenti tipi di materiale:

1 materiale tipo cemento armato

2 materiale tipo acciaio

3 materiale tipo muratura

4 materiale tipo legno

5 materiale tipo generico

I materiali utilizzati nella modellazione sono individuati da una sigla identificativa ed un codice numerico (gli elementi strutturali richiamano quest’ultimo nella propria descrizione). Per ogni materialevengono riportati in tabella i seguenti dati:

Young modulo di elasticità normale

Poisson coefficiente di contrazione trasversale

G modulo di elasticità tangenziale

Gamma peso specifico

Alfa coefficiente di dilatazione termica

I dati soprariportati vengono utilizzati per la modellazione dello schema statico e per la determinazione dei carichi inerziali e termici. In relazione al tipo di materiale vengono riportati inoltre:

1 cemento armato

Rck resistenza caratteristica cubica

Fctm resistenza media a trazione semplice

2 acciaio

Ft tensione di rottura a trazione

Fy tensione di snervamento

Fd resistenza di calcolo

Fdt resistenza di calcolo per spess. t>40 mm

Sadm tensione ammissibile

Sadmt tensione ammissibile per spess. t>40 mm

3 muratura

_________________________________________________________________________________________________________________________

12

Resist. Fk resistenza caratteristica a compressione

Resist. Fvko resistenza caratteristica a taglio

4 legno

Resist. fc0k Resistenza caratteristica (tensione amm. per REGLES) per compressione

Resist. ft0k Resistenza caratteristica (tensione amm. per REGLES) per trazione

Resist. fmk Resistenza caratteristica (tensione amm. per REGLES) per flessione

Resist. fvk Resistenza caratteristica (tensione amm. per REGLES) per taglio

Modulo E0,05 Modulo elastico parallelo caratteristico

Lamellare lamellare o massiccio

Vengono inoltre riportate le tabelle conteneti il riassunto delle nformazioni assegnate nei criteri di progetto in uso.

Id Tipo / Note Young Poisson G Gamma Alfa N/mm2 N/mm2 N/mm2 N/mm3

3 Calcestruzzo Classe C28/35 3.260e+04 0.20 1.358e+04 2.50e-05 1.00e-05Rck 35.0fctm 2.8

11 acciaio Fe430 - S275 2.100e+05 0.30 8.077e+04 7.80e-05 1.20e-05ft 430.0fy 275.0fd 275.0fdt 250.0sadm 190.0sadmt 170.0

Aste acc. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..GeneralitàBeta assegnato 0.80Verifica come controvento NoUsa condizioni I e II SiCoefficiente gamma M0 1.05Coefficiente gamma M1 1.05Coefficiente gamma M2 1.25

Pilastri acc. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..Lunghezze libereMetodo di calcolo 2-2 Assegnato2-2 Beta assegnato 2.002-2 Beta * L assegnato [ cm ] 0.0Metodo di calcolo 3-3 Assegnato3-3 Beta assegnato 2.003-3 Beta * L assegnato [ cm ] 0.01-1 Beta assegnato 1.001-1 Beta * L assegnato [ cm ] 0.0GeneralitàCoefficiente gamma M0 1.05Coefficiente gamma M1 1.05Coefficiente gamma M2 1.25Effetti del 2 ordine SiMomenti equivalenti SiUsa condizioni I e II Si

Travi acc. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..Lunghezze libere3-3 Beta * L automatico Si3-3 Beta assegnato 1.003-3 Beta assegnato [ cm ] 0.02-2 Beta * L automatico Si

_________________________________________________________________________________________________________________________

13

Travi acc. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..2-2 Beta assegnato 1.002-2 Beta * L assegnato [ cm ] 0.01-1 Beta * L automatico Si1-1 Beta assegnato 1.001-1 Beta * L assegnato [ cm ] 0.0GeneralitàCoefficiente gamma M0 1.05Coefficiente gamma M1 1.05Coefficiente gamma M2 1.25Luce di taglio per GR [ cm ] 1.00Usa condizioni I e II SiMomenti equivalenti Si

Pareti c.a. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..GeneralitàProgetto armatura Composto con parete sismicaArmaturaInclinazione Av [ gradi ] 90.00Angolo Av-Ao [ gradi ] 90.00Minima tesa 0.25Massima tesa 4.00Maglia unica centrale NoUnico strato verticale NoUnico strato orizzontale NoCopriferro [ cm ] 2.00Maglia V diametro 10passo 25diametro aggiuntivi 12Maglia Odiametro 8passo 25diametro aggiuntivi 8Stati limite ultimiTensione fy [ N/mm2 ] 450.00Tipo acciaio tipo CCoefficiente gamma s 1.15Coefficiente gamma c 1.50Fattore di confidenza FC 0.0Verifiche con N costante SiTensioni ammissibiliTensione amm. cls [ N/mm2 ] 9.75Tensione amm. acciaio [ N/mm2 ] 260.00Rapporto omogeneizzazione N 15.00Massimo rapporto area compressa/tesa 1.00Parete sismicaFattore amplificazione taglio V 1.50Hcrit. par. 7.4.4.5.1 [ cm ] 0.0Hcrit. par. 7.4.6.1.4 [ cm ] 0.0Usa diagramma di fig. 7.4.2 SiVincolo lati nessun latoVerifica come fascia NoDiametro di estremità 0Zona confinataMinima tesa 1.00Massima tesa 4.00Distanza barre [ cm ] 2.00Interferro 2Armatura inclinataArea barre [ cm2 ] 0.0Angolo orizzontale [ gradi ] 0.0Distanza di base [ cm ] 0.0Resistenza al fuoco3- intradosso No3+ estradosso NoTempo di esposizione R 15

Gusci c.a. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..ArmaturaInclinazione Ax [ gradi ] 0.0

_________________________________________________________________________________________________________________________

14

Gusci c.a. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..Angolo Ax-Ay [ gradi ] 90.00Minima tesa 0.31Massima tesa 0.78Maglia unica centrale NoCopriferro [ cm ] 2.00Maglia xdiametro 10passo 20diametro aggiuntivi 12Maglia ydiametro 10passo 20diametro aggiuntivi 12Stati limite ultimiTensione fy [ N/mm2 ] 450.00Tipo acciaio tipo CCoefficiente gamma s 1.15Coefficiente gamma c 1.50Fattore di confidenza FC 0.0Verifiche con N costante SiApplica SLU da DIN NoTensioni ammissibiliTensione amm. cls [ N/mm2 ] 9.75Tensione amm. acciaio [ N/mm2 ] 260.00Rapporto omogeneizzazione N 15.00Massimo rapporto area compressa/tesa 1.00Resistenza al fuoco3- intradosso No3+ estradosso NoTempo di esposizione R 15

Travi c.a. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..GeneralitàProgetta a filo NoAf inf: da q*L*L / 0.0ArmaturaMinima tesa 0.31Minima compressa 0.31Massima tesa 0.78Da sezione SiUsa armatura teorica NoStati limite ultimiTensione fy [ N/mm2 ] 450.00Tensione fy staffe [ N/mm2 ] 450.00Tipo acciaio tipo CCoefficiente gamma s 1.15Coefficiente gamma c 1.50Fattore di confidenza FC 0.0Verifiche con N costante SiFattore di ridistribuzione 0.0Modello per il confinamentoRelazione tensio-deformativa ManderIncrudimento acciaio 5.000e-03Fattore lambda 1.00epsilon max,s 4.000e-02epsilon cu2 4.500e-03epsilon c2 0.0epsilon cy 0.0Tensioni ammissibiliTensione amm. cls [ N/mm2 ] 9.75Tensione amm. acciaio [ N/mm2 ] 260.00Rapporto omogeneizzazione N 15.00Massimo rapporto area compressa/tesa 1.00StaffeDiametro staffe 0.0Passo minimo [ cm ] 4.00Passo massimo [ cm ] 30.00Passo raffittito [ cm ] 15.00Lunghezza zona raffittita [ cm ] 50.00Ctg(Teta) Max 2.50Percentuale sagomati 0.0Luce di taglio per GR [ cm ] 1.00Adotta scorrimento medio NoTorsione non essenziale inclusa Si

_________________________________________________________________________________________________________________________

15

Pilastri c.a. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..GeneralitàProgetto armatura Privilegia latiProgetta a filo NoEffetti del 2 ordine SiBeta per 2-2 1.00Beta per 3-3 1.00ArmaturaMassima tesa 4.00Minima tesa 1.00Stati limite ultimiTensione fy [ N/mm2 ] 450.00Tensione fy staffe [ N/mm2 ] 450.00Tipo acciaio tipo CCoefficiente gamma s 1.15Coefficiente gamma c 1.50Fattore di confidenza FC 0.0Verifiche con N costante SiModello per il confinamentoRelazione tensio-deformativa ManderIncrudimento acciaio 5.000e-03Fattore lambda 1.00epsilon max,s 4.000e-02epsilon cu2 4.500e-03epsilon c2 0.0epsilon cy 0.0Tensioni ammissibiliTensione amm. cls [ N/mm2 ] 9.75Tensione amm. acciaio [ N/mm2 ] 260.00Rapporto omogeneizzazione N 15.00StaffeDiametro staffe 0.0Passo minimo [ cm ] 5.00Passo massimo [ cm ] 25.00Passo raffittito [ cm ] 15.00Lunghezza zona raffittita [ cm ] 45.00Ctg(Teta) Max 2.50Luce di taglio per GR [ cm ] 1.00Massimizza gerarchia Si

3.5 Modellazione delle sezioniIl programma consente l’uso di sezioni diverse. Sono previsti i seguenti tipi di sezione:

1 sezione di tipo generico

2 profilati semplici

3 profilati accoppiati e speciali

Le sezioni utilizzate nella modellazione sono individuate da una sigla identificativa ed un codice numerico (gli elementi strutturali richiamano quest’ultimo nella propria descrizione). Per ogni sezionevengono riportati in tabella i seguenti dati:

Area area della sezione

A V2 area della sezione/fattore di taglio (per il taglio in direzione 2)


Jt fattore torsionale di rigidezza

J2-2 momento d'inerzia della sezione riferito all’asse 2


W2-2 modulo di resistenza della sezione riferito all’asse 2


Wp2-2 modulo di resistenza plastico della sezione riferito all’asse 2

_________________________________________________________________________________________________________________________

16


I dati sopra riportati vengono utilizzati per la determinazione dei carichi inerziali e per la definizione delle rigidezze degli elementi strutturali; qualora il valore di Area V2 (e/o Area V3) sia nullo ladeformabilità per taglio V2 (e/o V3) è trascurata. La valutazione delle caratteristiche inerziali delle sezioni è condotta nel riferimento 2-3 dell’elemento.

rettangolare a T a T rovescia a T di colmo a L a L specchiata

a L specchiata rovescia a L rovescia a L di colmo a doppio T a quattro specchiata a quattro

a U a C a croce circolare rettangolare cava circolare cava

Per quanto concerne i profilati semplici ed accoppiati l’asse 2 del riferimento coincide con l’asse x riportato nei più diffusi profilatari.

Per quanto concerne le sezioni di tipo generico (tipo 1.):

i valori dimensionali con prefisso B sono riferiti all’asse 2

i valori dimensionali con prefisso H sono riferiti all’asse 3

Id Tipo Area A V2 A V3 Jt J 2-2 J 3-3 W 2-2 W 3-3 Wp 2-2 Wp 3-3 cm2 cm2 cm2 cm4 cm4 cm4 cm3 cm3 cm3 cm3

1 Rettangolare cava: b=6 h=12 bi=5.2 hi=11.2 13.76 0.0 0.0 196.27 84.77 255.20 28.26 42.53 32.29 52.932 HEB 160 54.30 0.0 0.0 31.20 889.00 2492.00 111.20 311.50 170.00 354.00

3.6 Modellazione struttura: nodiIl programma utilizza per la modellazione nodi strutturali.

Ogni nodo è individuato dalle coordinate cartesiane nel sistema di riferimento globale (X Y Z).

Ad ogni nodo è eventualmente associato un codice di vincolamento rigido, un codice di fondazione speciale, ed un set di sei molle (tre per le traslazioni, tre per le rotazioni). Le tabelle sottoriportateriflettono le succitate possibilità. In particolare per ogni nodo viene indicato in tabella:

Nodo numero del nodo.

X valore della coordinata X

_________________________________________________________________________________________________________________________

17

Y valore della coordinata Y

Z valore della coordinata Z

Per i nodi ai quali sia associato un codice di vincolamento rigido, un codice di fondazione speciale o un set di molle viene indicato in tabella:





Note eventuale codice di vincolo (es. v=110010 sei valori relativi ai sei gradi di libertà previsti per il nodo TxTyTzRxRyRz, il valore 1 indica che lo spostamento o rotazionerelativo è impedito, il valore 0 indica che lo spostamento o rotazione relativo è libero).

Note (FS = 1, 2,…) eventuale codice del tipo di fondazione speciale (1, 2,… fanno riferimento alle tipologie: plinto, palo, plinto su pali,…) che è collegato al nodo.

(ISO = “id SIGLA”) indice e sigla identificativa dell’ eventuale isolatore sismico assegnato al nodo

Rig. TX valore della rigidezza dei vincoli elastici eventualmente applicati al nodo, nello specifico TX (idem per TY, TZ, RX, RY, RZ).

Per strutture sismicamente isolate viene inoltre inserita la tabella delle caratteristiche per gli isolatori utilizzati; le caratteristiche sono indicate in conformità al cap. 7.10 del D.M. 14/01/08

Nodo X Y Z Nodo X Y Z Nodo X Y Zcm cm cm cm cm cm cm cm cm

1 -51.5 159.0 2049.8 2 0.0 0.0 262.0 3 0.0 159.0262.04 196.0 159.0 262.0 6 -117.8 0.0 2140.7 7 -51.5 0.0

2140.78 0.0 0.0 2140.7 9 196.0 159.0 218.0 12 196.0 0.0262.0

13 206.5 159.0 218.0 14 271.5 159.0 218.0 16 196.0 159.0250.917 196.0 159.0 1312.0 18 196.0 169.5 250.9 19 196.0 234.5250.921 196.0 53.0 90.8 23 196.0 53.0 112.0 25 196.0 26.5 6.226 65.3 0.0 6.2 27 0.0 159.0 356.9 28 0.0 0.0

1612.029 0.0 169.5 356.9 30 0.0 234.5 356.9 32 0.0 159.0389.833 0.0 0.0 495.8 34 0.0 159.0 1612.0 35 0.0 159.0

2016.936 0.0 169.5 2016.9 37 0.0 234.5 2016.9 38 -51.5 -94.5

2194.839 -118.5 -94.5 2194.8 40 196.0 0.0 1762.0 44 196.0 0.0530.045 206.5 159.0 601.3 46 271.5 159.0 601.3 47 206.5 0.0530.048 271.5 0.0 530.0 50 206.5 46.7 530.0 51 271.5 46.7530.053 196.0 159.0 601.3 54 0.0 159.0 640.0 55 32.7 0.0 6.256 0.0 0.0 746.0 57 196.0 26.5 27.3 59 -51.5 159.0389.860 -116.5 159.0 389.8 63 -116.5 0.0 746.0 64 196.0 26.5 48.565 196.0 0.0 90.8 66 -51.5 159.0 640.0 67 -116.5 159.0640.069 -51.5 0.0 746.0 72 -116.5 0.0 1163.8 73 -51.5 0.0

1163.875 -116.5 0.0 495.8 76 -51.5 0.0 495.8 77 32.7 0.0 112.079 196.0 0.0 780.0 80 0.0 0.0 1163.8 81 196.0 159.0886.082 206.5 0.0 780.0 83 271.5 0.0 780.0 85 206.5 159.0886.086 271.5 159.0 886.0 88 196.0 169.5 918.9 89 196.0 26.5 69.790 196.0 234.5 918.9 91 196.0 26.5 90.8 93 32.7 0.0 27.394 196.0 159.0 918.9 95 196.0 26.5 112.0 96 196.0 0.0 6.297 196.0 0.0 27.3 98 0.0 159.0 1024.9 99 0.0 169.5

1024.9100 0.0 234.5 1024.9 102 0.0 159.0 1057.8 103 -51.5 159.0

1057.8104 -116.5 159.0 1057.8 105 271.5 159.0 1874.9 106 0.0 0.0342.0107 196.0 0.0 342.0 108 65.3 0.0 27.3 109 196.0 0.0562.0110 196.0 159.0 562.0 111 0.0 0.0 562.0 112 0.0 0.0862.0113 196.0 0.0 862.0 114 196.0 159.0 862.0 115 0.0 0.0

1312.0116 196.0 0.0 1462.0 117 206.5 0.0 1762.0 118 271.5 0.0

1762.0119 196.0 169.5 1906.9 120 196.0 234.5 1906.9 122 196.0 159.0

1906.9123 206.5 159.0 1874.9 126 32.7 0.0 69.7 127 196.0 159.0

_________________________________________________________________________________________________________________________

18

1874.9128 196.0 0.0 48.5 129 196.0 0.0 69.7 130 32.7 0.0 48.5131 196.0 53.0 69.7 133 32.7 0.0 90.8 134 0.0 159.0

2049.8138 196.0 79.5 6.2 141 196.0 79.5 27.3 142 196.0 79.5 48.5143 196.0 0.0 2193.0 144 196.0 159.0 2193.0 145 0.0 159.0

2193.0146 0.0 0.0 2193.0 147 0.0 0.0 1762.0 148 0.0 159.0

1312.0149 196.0 0.0 1312.0 151 -116.5 234.5 2016.9 152 -116.5 169.5

2016.9153 196.0 79.5 112.0 154 196.0 79.5 69.7 155 196.0 79.5 90.8156 196.0 53.0 6.2 157 196.0 53.0 48.5 158 196.0 53.0 27.3159 -116.5 159.0 2049.8 160 0.0 159.0 1906.9 161 0.0 0.0 -15.0162 196.0 0.0 -15.0 163 196.0 159.0 -15.0 164 0.0 159.0 -15.0165 0.0 159.0 2062.0 166 0.0 159.0 1762.0 167 196.0 159.0

1462.0168 0.0 159.0 1462.0 169 0.0 0.0 1462.0 170 196.0 0.0

1612.0171 0.0 0.0 412.0 172 196.0 159.0 412.0 173 196.0 0.0412.0174 0.0 159.0 412.0 175 196.0 79.5 2062.0 176 0.0 0.0530.0177 0.0 159.0 562.0 178 0.0 159.0 712.0 179 0.0 0.0712.0180 196.0 159.0 712.0 181 196.0 0.0 712.0 182 65.3 0.0 48.5183 196.0 0.0 746.0 184 0.0 159.0 862.0 185 196.0 0.0

1012.0186 0.0 0.0 1012.0 187 0.0 159.0 1012.0 188 196.0 159.0

1012.0189 196.0 0.0 1163.8 190 196.0 159.0 1163.8 191 196.0 159.0

1612.0192 0.0 159.0 1163.8 193 196.0 159.0 1762.0 194 0.0 0.0

1906.9195 196.0 0.0 1906.9 196 196.0 0.0 1395.0 197 0.0 0.0

1395.0198 0.0 0.0 2000.0 199 196.0 0.0 2000.0 200 0.0 0.0

2062.0201 196.0 0.0 2062.0 202 196.0 159.0 2062.0 203 130.7 0.0 69.7204 130.7 0.0 90.8 205 130.7 0.0 112.0 206 163.3 0.0 6.2207 163.3 0.0 27.3 208 163.3 0.0 48.5 209 163.3 0.0 69.7210 163.3 0.0 90.8 211 163.3 0.0 112.0 212 0.0 79.5

2193.0213 0.0 79.5 2062.0 214 188.0 83.0 -15.0 215 159.0 159.0

2062.0216 159.0 159.0 2193.0 217 65.3 0.0 69.7 218 65.3 0.0 90.8219 65.3 0.0 112.0 220 98.0 0.0 6.2 221 98.0 0.0 27.3222 98.0 0.0 48.5 223 98.0 0.0 69.7 224 98.0 0.0 90.8225 98.0 0.0 112.0 226 130.7 0.0 6.2 227 130.7 0.0 27.3228 130.7 0.0 48.5 229 196.0 37.0 2062.0 230 196.0 37.0

2193.0231 0.0 26.5 -15.0 232 32.7 26.5 -15.0 233 32.7 0.0 -15.0234 0.0 53.0 -15.0 235 32.7 53.0 -15.0 236 0.0 79.5 -15.0237 32.7 79.5 -15.0 238 0.0 106.0 -15.0 239 32.7 106.0 -15.0240 0.0 132.5 -15.0 241 32.7 132.5 -15.0 242 32.7 159.0 -15.0243 65.3 26.5 -15.0 244 65.3 0.0 -15.0 245 65.3 53.0 -15.0246 65.3 79.5 -15.0 247 65.3 106.0 -15.0 248 65.3 132.5 -15.0249 65.3 159.0 -15.0 250 98.0 26.5 -15.0 251 98.0 0.0 -15.0252 98.0 53.0 -15.0 253 98.0 79.5 -15.0 254 98.0 106.0 -15.0255 98.0 132.5 -15.0 256 98.0 159.0 -15.0 257 130.7 26.5 -15.0258 130.7 0.0 -15.0 259 130.7 53.0 -15.0 260 130.7 79.5 -15.0261 130.7 106.0 -15.0 262 130.7 132.5 -15.0 263 130.7 159.0 -15.0264 159.0 30.5 -15.0 265 163.3 0.0 -15.0 266 163.3 53.0 -15.0267 159.0 83.0 -15.0 268 163.3 106.0 -15.0 269 159.0 135.5 -15.0270 163.3 159.0 -15.0 271 196.0 26.5 -15.0 272 196.0 53.0 -15.0273 196.0 79.5 -15.0 274 196.0 106.0 -15.0 275 196.0 132.5 -15.0276 0.0 159.0 112.0 277 0.0 0.0 112.0 278 196.0 159.0112.0279 196.0 0.0 112.0 280 0.0 159.0 6.2 281 0.0 132.5 6.2282 0.0 159.0 27.3 283 0.0 132.5 27.3 284 0.0 159.0 48.5285 0.0 132.5 48.5 286 0.0 159.0 69.7 287 0.0 132.5 69.7288 0.0 159.0 90.8 289 0.0 132.5 90.8 290 0.0 132.5112.0291 0.0 106.0 6.2 292 0.0 106.0 27.3 293 0.0 106.0 48.5294 0.0 106.0 69.7 295 0.0 106.0 90.8 296 0.0 106.0112.0297 0.0 79.5 6.2 298 0.0 79.5 27.3 299 0.0 79.5 48.5300 0.0 79.5 69.7 301 0.0 79.5 90.8 302 0.0 79.5112.0303 0.0 53.0 6.2 304 0.0 53.0 27.3 305 0.0 53.0 48.5306 0.0 53.0 69.7 307 0.0 53.0 90.8 308 0.0 53.0112.0309 0.0 26.5 6.2 310 0.0 26.5 27.3 311 0.0 26.5 48.5312 0.0 26.5 69.7 313 0.0 26.5 90.8 314 0.0 26.5112.0315 0.0 0.0 6.2 316 0.0 0.0 27.3 317 0.0 0.0 48.5318 0.0 0.0 69.7 319 0.0 0.0 90.8 320 32.7 159.0 6.2321 32.7 159.0 27.3 322 32.7 159.0 48.5 323 32.7 159.0 69.7324 32.7 159.0 90.8 325 32.7 159.0 112.0 326 65.3 159.0 6.2327 65.3 159.0 27.3 328 65.3 159.0 48.5 329 65.3 159.0 69.7330 65.3 159.0 90.8 331 65.3 159.0 112.0 332 98.0 159.0 6.2333 98.0 159.0 27.3 334 98.0 159.0 48.5 335 98.0 159.0 69.7336 98.0 159.0 90.8 337 98.0 159.0 112.0 338 130.7 159.0 6.2339 130.7 159.0 27.3 340 130.7 159.0 48.5 341 130.7 159.0 69.7342 130.7 159.0 90.8 343 130.7 159.0 112.0 344 163.3 159.0 6.2

_________________________________________________________________________________________________________________________

19

345 163.3 159.0 27.3 346 163.3 159.0 48.5 347 163.3 159.0 69.7348 163.3 159.0 90.8 349 163.3 159.0 112.0 350 196.0 159.0 6.2351 196.0 159.0 27.3 352 196.0 159.0 48.5 353 196.0 159.0 69.7354 196.0 159.0 90.8 355 196.0 132.5 6.2 356 196.0 132.5 27.3357 196.0 132.5 48.5 358 196.0 132.5 69.7 359 196.0 132.5 90.8360 196.0 132.5 112.0 361 196.0 106.0 6.2 362 196.0 106.0 27.3363 196.0 106.0 48.5 364 196.0 106.0 69.7 365 196.0 106.0 90.8366 196.0 106.0 112.0

Nodo X Y Z Note Rig. TX Rig. TY Rig. TZ Rig. RX Rig. RY Rig.RZ

cm cm cm daN/cm daN/cm daN/cm daN cm/rad daN cm/rad daNcm/rad

5 -121.0 0.0 2140.7 v=00110010 206.5 0.0 112.0 v=11111111 271.5 0.0 112.0 v=11111115 276.0 159.0 218.0 v=00110020 196.0 239.0 250.9 v=00101022 261.0 169.5 250.9 v=00110024 261.0 234.5 250.9 v=00110031 0.0 239.0 356.9 v=00101041 -121.0 159.0 1057.8 v=00110042 -116.5 234.5 1024.9 v=00110043 -116.5 169.5 1024.9 v=00110049 276.0 0.0 530.0 v=00110052 276.0 159.0 601.3 v=00110058 276.0 0.0 1762.0 v=00110061 -121.0 159.0 389.8 v=00110062 -121.0 0.0 746.0 v=00110068 -121.0 159.0 640.0 v=00110070 261.0 234.5 918.9 v=00110071 -121.0 0.0 1163.8 v=00110074 261.0 169.5 918.9 v=00110078 276.0 159.0 1874.9 v=00110084 276.0 0.0 780.0 v=00110087 276.0 159.0 886.0 v=00110092 196.0 239.0 918.9 v=001010

101 0.0 239.0 1024.9 v=001010121 196.0 239.0 1906.9 v=001010124 -116.5 234.5 356.9 v=001100125 -116.5 169.5 356.9 v=001100132 0.0 239.0 2016.9 v=001010135 -51.5 -162.5 2194.8 v=001010136 -118.5 -162.5 2194.8 v=001010137 -121.0 0.0 495.8 v=001100139 261.0 169.5 1906.9 v=001100140 261.0 234.5 1906.9 v=001100150 -121.0 159.0 2049.8 v=001100

_________________________________________________________________________________________________________________________

20

3.7 Modellazione struttura: elementi traveIl programma utilizza per la modellazione elementi a due nodi denominati in generale travi.

Ogni elemento trave è individuato dal nodo iniziale e dal nodo finale.

Ogni elemento è caratterizzato da un insieme di proprietà riportate in tabella che ne completano la modellazione.

1

2

3X

Y

Z

orientamento elementi 2D non verticali

X

Y

Z

123 orientamento elementi 2D verticali

In particolare per ogni elemento viene indicato in tabella:

Elem. numero dell’elemento

Note codice di comportamento: trave, trave di fondazione, pilastro, asta, asta tesa, asta compressa,

Nodo I (J) numero del nodo iniziale (finale)

Mat. codice del materiale assegnato all’elemento

Sez. codice della sezione assegnata all’elemento

Rotaz. valore della rotazione dell’elemento, attorno al proprio asse, nel caso in cui l’orientamento di default non sia adottabile; l’orientamento didefault prevede per gli elementi non verticali l’asse 2 contenuto nel piano verticale e l’asse 3 orizzontale, per gli elementi verticali l’asse 2diretto secondo X negativo e l’asse 3 diretto secondo Y negativo

Svincolo I (J) codici di svincolo per le azioni interne; i primi sei codici si riferiscono al nodo iniziale, i restanti sei al nodo finale (il valore 1 indica che larelativa azione interna non è attiva)

Wink V costante di sottofondo (coefficiente di Winkler) per la modellazione della trave su suolo elastico

Wink O costante di sottofondo (coefficiente di Winkler) per la modellazione del suolo elastico orizzontale

_________________________________________________________________________________________________________________________

21

Elem. Note Nodo I Nodo J Mat. Sez. Rotaz. Svincolo I Svincolo J Wink V Wink Ogradi daN/cm3

daN/cm31 Trave 27 29 11 22 Trave 29 30 11 23 Trave 30 31 11 24 Trave 40 117 11 25 Trave 117 118 11 26 Trave 118 58 11 27 Trave 127 123 11 28 Trave 123 105 11 29 Trave 105 78 11 2

10 Pilas. 286 288 11 2 90.0011 Pilas. 353 354 11 2 90.0012 Pilas. 352 353 11 2 90.0013 Trave 1 134 11 214 Trave 152 36 11 115 Trave 151 37 11 116 Trave 159 1 11 217 Trave 150 159 11 218 Trave 200 213 11 219 Pilas. 128 129 11 2 90.0020 Pilas. 318 319 11 2 90.0021 Trave 39 6 11 122 Trave 146 143 11 223 Trave 5 6 11 224 Trave 38 7 11 125 Trave 7 8 11 226 Pilas. 8 146 11 2 90.0027 Trave 119 139 11 128 Trave 120 140 11 129 Trave 7 1 11 130 Trave 6 7 11 231 Trave 6 159 11 132 Trave 37 132 11 233 Pilas. 80 115 11 2 90.0034 Pilas. 102 192 11 2 90.0035 Pilas. 94 188 11 2 90.0036 Pilas. 113 185 11 2 90.0037 Pilas. 284 286 11 2 90.0038 Pilas. 129 65 11 2 90.0039 Pilas. 317 318 11 2 90.0040 Pilas. 127 122 11 2 90.0041 Pilas. 2 106 11 2 90.0042 Pilas. 279 12 11 2 90.0043 Pilas. 179 56 11 2 90.0044 Trave 69 56 11 245 Trave 66 54 11 246 Pilas. 12 107 11 2 90.0047 Trave 44 47 11 248 Trave 47 48 11 249 Trave 48 49 11 250 Trave 53 45 11 251 Trave 45 46 11 252 Trave 46 52 11 253 Pilas. 351 352 11 2 90.0054 Pilas. 32 174 11 2 90.0055 Trave 213 165 11 256 Trave 47 50 11 157 Trave 48 51 11 158 Trave 51 46 11 159 Trave 50 45 11 160 Trave 125 29 11 161 Trave 124 30 11 162 Trave 63 67 11 163 Pilas. 183 79 11 2 90.0064 Trave 67 66 11 265 Trave 68 67 11 266 Trave 69 66 11 167 Trave 122 119 11 268 Trave 63 69 11 269 Trave 62 63 11 270 Trave 76 33 11 271 Trave 59 32 11 272 Pilas. 44 109 11 2 90.0073 Trave 79 82 11 274 Trave 82 83 11 275 Trave 83 84 11 276 Trave 81 85 11 277 Trave 85 86 11 2

_________________________________________________________________________________________________________________________

22

78 Trave 86 87 11 279 Trave 82 85 11 180 Trave 83 86 11 181 Trave 12 4 11 282 Trave 230 144 11 283 Trave 173 172 11 284 Trave 149 17 11 285 Trave 109 110 11 286 Pilas. 33 176 11 2 90.0087 Trave 94 88 11 288 Trave 88 90 11 289 Trave 90 92 11 290 Trave 98 99 11 291 Trave 99 100 11 292 Trave 100 101 11 293 Trave 99 88 11 194 Trave 100 90 11 195 Trave 136 39 11 196 Trave 104 103 11 297 Trave 41 104 11 298 Pilas. 65 279 11 2 90.0099 Pilas. 288 276 11 2 90.00

100 Pilas. 354 278 11 2 90.00101 Trave 88 74 11 1102 Trave 90 70 11 1103 Trave 212 145 11 2104 Pilas. 278 9 11 2 90.00105 Pilas. 81 94 11 2 90.00106 Trave 177 110 11 2107 Pilas. 98 102 11 2 90.00108 Trave 72 104 11 1109 Trave 72 73 11 2110 Trave 71 72 11 2111 Pilas. 277 2 11 2 90.00112 Pilas. 134 165 11 2 90.00113 Trave 73 80 11 2114 Trave 103 102 11 2115 Trave 43 99 11 1116 Trave 42 100 11 1117 Trave 29 18 11 1118 Trave 30 19 11 1119 Pilas. 115 197 11 2 90.00120 Pilas. 148 168 11 2 90.00121 Pilas. 17 167 11 2 90.00122 Pilas. 149 196 11 2 90.00123 Pilas. 28 147 11 2 90.00124 Pilas. 34 166 11 2 90.00125 Trave 112 184 11 2126 Pilas. 79 113 11 2 90.00127 Trave 184 114 11 2128 Pilas. 106 171 11 2 90.00129 Pilas. 107 173 11 2 90.00130 Pilas. 4 172 11 2 90.00131 Pilas. 109 181 11 2 90.00132 Pilas. 53 180 11 2 90.00133 Pilas. 54 178 11 2 90.00134 Trave 18 19 11 2135 Trave 117 123 11 1136 Trave 170 191 11 2137 Trave 195 122 11 2138 Trave 73 103 11 1139 Pilas. 191 193 11 2 90.00140 Pilas. 40 195 11 2 90.00141 Pilas. 27 32 11 2 90.00142 Pilas. 35 134 11 2 90.00143 Pilas. 9 16 11 2 90.00144 Trave 40 193 11 2145 Pilas. 3 27 11 2 90.00146 Pilas. 198 200 11 2 90.00147 Trave 9 13 11 2148 Trave 13 14 11 2149 Trave 14 15 11 2150 Trave 145 216 11 2151 Trave 116 167 11 2152 Pilas. 319 277 11 2 90.00153 Trave 19 20 11 2154 Trave 10 13 11 1155 Trave 11 14 11 1156 Trave 16 18 11 2157 Trave 37 120 11 1158 Trave 36 119 11 1159 Trave 135 38 11 1160 Trave 60 59 11 2161 Trave 61 60 11 2162 Trave 181 180 11 2

_________________________________________________________________________________________________________________________

23

163 Trave 18 22 11 1164 Trave 19 24 11 1165 Trave 113 114 11 2166 Trave 185 188 11 2167 Trave 189 190 11 2168 Trave 75 60 11 1169 Trave 120 121 11 2170 Trave 35 36 11 2171 Trave 75 76 11 2172 Trave 137 75 11 2173 Trave 36 37 11 2174 Trave 76 59 11 1175 Trave 119 120 11 2176 Pilas. 161 315 11 2 90.00177 Pilas. 164 280 11 2 90.00178 Pilas. 162 96 11 2 90.00179 Pilas. 163 350 11 2 90.00180 Trave 2 3 11 2181 Pilas. 315 316 11 2 90.00182 Trave 3 4 11 2183 Trave 143 230 11 2184 Trave 106 107 11 2185 Trave 171 174 11 2186 Pilas. 280 282 11 2 90.00187 Trave 174 172 11 2188 Pilas. 173 44 11 2 90.00189 Pilas. 172 110 11 2 90.00190 Pilas. 174 177 11 2 90.00191 Pilas. 171 33 11 2 90.00192 Trave 175 202 11 2193 Pilas. 176 111 11 2 90.00194 Trave 176 44 11 2195 Pilas. 110 53 11 2 90.00196 Pilas. 111 179 11 2 90.00197 Pilas. 177 54 11 2 90.00198 Trave 111 177 11 2199 Pilas. 178 184 11 2 90.00200 Pilas. 56 112 11 2 90.00201 Pilas. 180 114 11 2 90.00202 Pilas. 181 183 11 2 90.00203 Pilas. 96 97 11 2 90.00204 Trave 178 180 11 2205 Trave 179 178 11 2206 Trave 56 183 11 2207 Pilas. 276 3 11 2 90.00208 Trave 229 175 11 2209 Pilas. 184 187 11 2 90.00210 Pilas. 112 186 11 2 90.00211 Trave 112 113 11 2212 Pilas. 114 81 11 2 90.00213 Pilas. 350 351 11 2 90.00214 Trave 186 187 11 2215 Trave 187 188 11 2216 Trave 186 185 11 2217 Pilas. 316 317 11 2 90.00218 Pilas. 185 189 11 2 90.00219 Pilas. 188 190 11 2 90.00220 Pilas. 187 98 11 2 90.00221 Pilas. 186 80 11 2 90.00222 Trave 80 192 11 2223 Trave 192 190 11 2224 Trave 80 189 11 2225 Pilas. 282 284 11 2 90.00226 Pilas. 192 148 11 2 90.00227 Pilas. 189 149 11 2 90.00228 Pilas. 190 17 11 2 90.00229 Trave 115 148 11 2230 Trave 194 160 11 2231 Trave 160 122 11 2232 Trave 215 202 11 2233 Trave 148 17 11 2234 Trave 147 40 11 2235 Trave 166 193 11 2236 Trave 216 144 11 2237 Trave 146 212 11 2238 Pilas. 97 128 11 2 90.00239 Trave 169 168 11 2240 Trave 169 116 11 2241 Trave 168 167 11 2242 Trave 28 34 11 2243 Pilas. 170 40 11 2 90.00244 Trave 28 170 11 2245 Trave 34 191 11 2246 Pilas. 16 4 11 2 90.00247 Pilas. 147 194 11 2 90.00

_________________________________________________________________________________________________________________________

24

248 Pilas. 166 160 11 2 90.00249 Pilas. 193 127 11 2 90.00250 Trave 118 105 11 1251 Trave 147 166 11 2252 Pilas. 169 28 11 2 90.00253 Pilas. 116 170 11 2 90.00254 Pilas. 167 191 11 2 90.00255 Pilas. 168 34 11 2 90.00256 Trave 197 196 11 2257 Pilas. 197 169 11 2 90.00258 Pilas. 196 116 11 2 90.00259 Pilas. 195 199 11 2 90.00260 Pilas. 122 202 11 2 90.00261 Pilas. 194 198 11 2 90.00262 Pilas. 160 35 11 2 90.00263 Pilas. 199 201 11 2 90.00264 Trave 198 199 11 2265 Pilas. 165 145 11 2 90.00266 Pilas. 200 8 11 2 90.00267 Pilas. 202 144 11 2 90.00268 Pilas. 201 143 11 2 90.00269 Trave 200 201 11 2270 Trave 165 215 11 2271 Trave 201 229 11 2

_________________________________________________________________________________________________________________________

25

3.8 Modellazione struttura: elementi shellIl programma utilizza per la modellazione elementi a tre o quattro nodi denominati in generale shell.

Ogni elemento shell è individuato dai nodi I, J, K, L (L=I per gli elementi a tre nodi).


X

Y

Z

12

3

X

Y

Z

12

3

orientamento elementi 3D non verticali orientamento elementi 3D verticali



Note codice di comportamento:

Guscio (elemento guscio in elevazione non verticale)

Guscio fond. (elemento guscio su suolo elastico)

Setto (elemento guscio in elevazione verticale)

Membrana (elemento guscio con comportamento membranale)

Nodo I (J, K, L) numero del nodo I (J, K, L)


Spessore spessore dell’elemento (costante)

Wink V costante di sottofondo (coefficiente di Winkler) per la modellazione del suolo elastico verticale


_________________________________________________________________________________________________________________________

26

Elem. Note Nodo I Nodo J Nodo K Nodo L Mat. Spessore Wink V Wink Ocm daN/cm3daN/cm3

1 Guscio fond. 161 233 232 231 3 25.0 1.00 1.002 Guscio fond. 231 232 235 234 3 25.0 1.00 1.003 Guscio fond. 234 235 237 236 3 25.0 1.00 1.004 Guscio fond. 236 237 239 238 3 25.0 1.00 1.005 Guscio fond. 238 239 241 240 3 25.0 1.00 1.006 Guscio fond. 240 241 242 164 3 25.0 1.00 1.007 Guscio fond. 233 244 243 232 3 25.0 1.00 1.008 Guscio fond. 232 243 245 235 3 25.0 1.00 1.009 Guscio fond. 235 245 246 237 3 25.0 1.00 1.00

10 Guscio fond. 237 246 247 239 3 25.0 1.00 1.0011 Guscio fond. 239 247 248 241 3 25.0 1.00 1.0012 Guscio fond. 241 248 249 242 3 25.0 1.00 1.0013 Guscio fond. 244 251 250 243 3 25.0 1.00 1.0014 Guscio fond. 243 250 252 245 3 25.0 1.00 1.0015 Guscio fond. 245 252 253 246 3 25.0 1.00 1.0016 Guscio fond. 246 253 254 247 3 25.0 1.00 1.0017 Guscio fond. 247 254 255 248 3 25.0 1.00 1.0018 Guscio fond. 248 255 256 249 3 25.0 1.00 1.0019 Guscio fond. 251 258 257 250 3 25.0 1.00 1.0020 Guscio fond. 250 257 259 252 3 25.0 1.00 1.0021 Guscio fond. 252 259 260 253 3 25.0 1.00 1.0022 Guscio fond. 253 260 261 254 3 25.0 1.00 1.0023 Guscio fond. 254 261 262 255 3 25.0 1.00 1.0024 Guscio fond. 255 262 263 256 3 25.0 1.00 1.0025 Guscio fond. 258 265 264 257 3 25.0 1.00 1.0026 Guscio fond. 257 264 266 259 3 25.0 1.00 1.0027 Guscio fond. 259 266 267 260 3 25.0 1.00 1.0028 Guscio fond. 260 267 268 261 3 25.0 1.00 1.0029 Guscio fond. 261 268 269 262 3 25.0 1.00 1.0030 Guscio fond. 262 269 270 263 3 25.0 1.00 1.0031 Guscio fond. 265 162 271 264 3 25.0 1.00 1.0032 Guscio fond. 264 271 272 266 3 25.0 1.00 1.0033 Setto 210 65 129 209 3 25.034 Setto 211 279 65 210 3 25.035 Guscio fond. 268 274 275 269 3 25.0 1.00 1.0036 Guscio fond. 269 275 163 270 3 25.0 1.00 1.0037 Setto 240 164 280 281 3 25.038 Setto 281 280 282 283 3 25.039 Setto 283 282 284 285 3 25.040 Setto 285 284 286 287 3 25.041 Setto 287 286 288 289 3 25.042 Setto 289 288 276 290 3 25.043 Setto 238 240 281 291 3 25.044 Setto 291 281 283 292 3 25.045 Setto 292 283 285 293 3 25.046 Setto 293 285 287 294 3 25.047 Setto 294 287 289 295 3 25.048 Setto 295 289 290 296 3 25.049 Setto 236 238 291 297 3 25.050 Setto 297 291 292 298 3 25.051 Setto 298 292 293 299 3 25.052 Setto 299 293 294 300 3 25.053 Setto 300 294 295 301 3 25.054 Setto 301 295 296 302 3 25.055 Setto 234 236 297 303 3 25.056 Setto 303 297 298 304 3 25.057 Setto 304 298 299 305 3 25.058 Setto 305 299 300 306 3 25.059 Setto 306 300 301 307 3 25.060 Setto 307 301 302 308 3 25.061 Setto 231 234 303 309 3 25.062 Setto 309 303 304 310 3 25.063 Setto 310 304 305 311 3 25.064 Setto 311 305 306 312 3 25.065 Setto 312 306 307 313 3 25.066 Setto 313 307 308 314 3 25.067 Setto 161 231 309 315 3 25.068 Setto 315 309 310 316 3 25.069 Setto 316 310 311 317 3 25.070 Setto 317 311 312 318 3 25.071 Setto 318 312 313 319 3 25.072 Setto 319 313 314 277 3 25.073 Setto 280 320 242 164 3 25.074 Setto 282 321 320 280 3 25.075 Setto 284 322 321 282 3 25.076 Setto 286 323 322 284 3 25.077 Setto 288 324 323 286 3 25.078 Setto 276 325 324 288 3 25.079 Setto 320 326 249 242 3 25.080 Setto 321 327 326 320 3 25.0

_________________________________________________________________________________________________________________________

27

81 Setto 322 328 327 321 3 25.082 Setto 323 329 328 322 3 25.083 Setto 324 330 329 323 3 25.084 Setto 325 331 330 324 3 25.085 Setto 326 332 256 249 3 25.086 Setto 327 333 332 326 3 25.087 Setto 328 334 333 327 3 25.088 Setto 329 335 334 328 3 25.089 Setto 330 336 335 329 3 25.090 Setto 331 337 336 330 3 25.091 Setto 332 338 263 256 3 25.092 Setto 333 339 338 332 3 25.093 Setto 334 340 339 333 3 25.094 Setto 335 341 340 334 3 25.095 Setto 336 342 341 335 3 25.096 Setto 337 343 342 336 3 25.097 Setto 338 344 270 263 3 25.098 Setto 339 345 344 338 3 25.099 Setto 340 346 345 339 3 25.0

100 Setto 341 347 346 340 3 25.0101 Setto 342 348 347 341 3 25.0102 Setto 343 349 348 342 3 25.0103 Setto 344 350 163 270 3 25.0104 Setto 345 351 350 344 3 25.0105 Setto 346 352 351 345 3 25.0106 Setto 347 353 352 346 3 25.0107 Setto 348 354 353 347 3 25.0108 Setto 349 278 354 348 3 25.0109 Setto 275 163 350 355 3 25.0110 Setto 355 350 351 356 3 25.0111 Setto 356 351 352 357 3 25.0112 Setto 357 352 353 358 3 25.0113 Setto 358 353 354 359 3 25.0114 Setto 359 354 278 360 3 25.0115 Setto 274 275 355 361 3 25.0116 Setto 361 355 356 362 3 25.0117 Setto 362 356 357 363 3 25.0118 Setto 363 357 358 364 3 25.0119 Setto 364 358 359 365 3 25.0120 Setto 365 359 360 366 3 25.0121 Setto 273 274 361 138 3 25.0122 Setto 138 361 362 141 3 25.0123 Setto 141 362 363 142 3 25.0124 Setto 142 363 364 154 3 25.0125 Setto 154 364 365 155 3 25.0126 Setto 155 365 366 153 3 25.0127 Setto 272 273 138 156 3 25.0128 Setto 156 138 141 158 3 25.0129 Setto 158 141 142 157 3 25.0130 Setto 157 142 154 131 3 25.0131 Setto 131 154 155 21 3 25.0132 Setto 21 155 153 23 3 25.0133 Setto 271 272 156 25 3 25.0134 Setto 25 156 158 57 3 25.0135 Setto 57 158 157 64 3 25.0136 Setto 64 157 131 89 3 25.0137 Setto 89 131 21 91 3 25.0138 Setto 91 21 23 95 3 25.0139 Setto 162 271 25 96 3 25.0140 Setto 96 25 57 97 3 25.0141 Setto 97 57 64 128 3 25.0142 Setto 128 64 89 129 3 25.0143 Setto 129 89 91 65 3 25.0144 Setto 65 91 95 279 3 25.0145 Setto 315 55 233 161 3 25.0146 Setto 316 93 55 315 3 25.0147 Setto 317 130 93 316 3 25.0148 Setto 318 126 130 317 3 25.0149 Setto 319 133 126 318 3 25.0150 Setto 277 77 133 319 3 25.0151 Setto 55 26 244 233 3 25.0152 Setto 93 108 26 55 3 25.0153 Setto 130 182 108 93 3 25.0154 Setto 126 217 182 130 3 25.0155 Setto 133 218 217 126 3 25.0156 Setto 77 219 218 133 3 25.0157 Setto 26 220 251 244 3 25.0158 Setto 108 221 220 26 3 25.0159 Setto 182 222 221 108 3 25.0160 Setto 217 223 222 182 3 25.0161 Setto 218 224 223 217 3 25.0162 Setto 219 225 224 218 3 25.0163 Setto 220 226 258 251 3 25.0164 Setto 221 227 226 220 3 25.0165 Setto 222 228 227 221 3 25.0

_________________________________________________________________________________________________________________________

28

166 Setto 223 203 228 222 3 25.0167 Setto 224 204 203 223 3 25.0168 Setto 225 205 204 224 3 25.0169 Setto 226 206 265 258 3 25.0170 Setto 227 207 206 226 3 25.0171 Setto 228 208 207 227 3 25.0172 Setto 203 209 208 228 3 25.0173 Setto 204 210 209 203 3 25.0174 Setto 205 211 210 204 3 25.0175 Setto 206 96 162 265 3 25.0176 Setto 207 97 96 206 3 25.0177 Setto 208 128 97 207 3 25.0178 Setto 209 129 128 208 3 25.0179 Guscio fond. 266 272 214 3 25.0 1.00 1.00180 Guscio fond. 267 266 214 3 25.0 1.00 1.00181 Guscio fond. 214 272 273 3 25.0 1.00 1.00182 Guscio fond. 267 214 274 268 3 25.0 1.00 1.00183 Guscio fond. 214 273 274 3 25.0 1.00 1.00

_________________________________________________________________________________________________________________________

29

3.9 Modellazione della struttura: elementi solaio-pannelloIl programma utilizza per la modellazione elementi a tre o più nodi denominati in generale solaio o pannello.

Ogni elemento solaio-pannello è individuato da una poligonale di nodi 1,2, ..., N.

L’elemento solaio è utilizzato in primo luogo per la modellazione dei carichi agenti sugli elementi strutturali. In secondo luogo può essere utilizzato per la corretta ripartizione delle forze orizzontaliagenti nel proprio piano. L’elemento balcone è derivato dall’elemento solaio.

I carichi agenti sugli elementi solaio, raccolti in un archivio, sono direttamente assegnati agli elementi utilizzando le informazioni raccolte nell’ archivio (es. i coefficienti combinatori). La tabellaseguente riporta i dati utilizzati per la definizione dei carichi e delle masse.

L’elemento pannello è utilizzato solo per l’applicazione dei carichi, quali pesi delle tamponature o spinte dovute al vento o terre. In questo caso i carichi sono applicati in analogia agli altri elementistrutturali (si veda il cap. SCHEMATIZZAZIONE DEI CASI DI CARICO).

Id.Arch. Identificativo dell’ archivio

Tipo Tipo di carico

Variab. Carico variabile generico

Var. rid. Carico variabile generico con riduzione in funzione dell’ area (c.5.5. …)

Neve Carico di neve

G1k carico permanente (comprensivo del peso proprio)

G2k carico permanente non strutturale e non compiutamente definito

Qk carico variabile

Fatt. A fattore di riduzione del carico variabile (0.5 o 0.75) per tipo “Var.rid.”

S sis. fattore di riduzione del carico variabile per la definizione delle masse sismiche per D.M. 96 (vedi NOTA sul capitolo "normativa di riferimento")

Psi 0 Coefficiente combinatorio dei valori caratteristici delle azioni variabili: per valore raro

Psi 1 Coefficiente combinatorio dei valori caratteristici delle azioni variabili: per valore frequente

Psi 2 Coefficiente combinatorio dei valori caratteristici delle azioni variabili: per valore quasi permanente

Psi S 2 Coefficiente di combinazione che fornisce il valore quasi-permanente dell’azione variabile: per la definizione delle masse sismiche

Fatt. Fi Coefficiente di correlazione dei carichi per edifici

Ogni elemento è caratterizzato da un insieme di proprietà riportate in tabella che ne completano la modellazione. In particolare per ogni elemento viene indicato in tabella:

Elem numero dell’elemento

Tipo codice di comportamento

S elemento utilizzato solo per scarico

C elemento utilizzato per scarico e per modellazione piano rigido

P elemento utilizzato come pannello

M scarico monodirezionale

B scarico bidirezionale


Mat codice del materiale assegnato all'elemento


Orditura angolo (rispetto all’asse X) della direzione dei travetti principali

Gk carico permanente solaio (comprensivo del peso proprio)

Qk carico variabile solaio

Nodi numero dei nodi che definiscono l'elemento (5 per riga)

Nel caso in cui si sia proceduto alla progettazione dei solai con le tensioni ammissibili vengono riportate le massime tensioni nell'elemento (massima compressione nel calcestruzzo, massima tensionenell'acciaio, massima tensione tangenziale); nel caso in cui si sia proceduto alla progettazione con il metodo degli stati limite vengono riportati il rapporto x/d e le verifiche per sollecitazioniproporzionali nonché le verifiche in esercizio.

_________________________________________________________________________________________________________________________

30

In particolare i simboli utilizzati in tabella assumono il seguente significato:

Elem. numero identificativo dell’elemento

Stato Codici di verifica relativi alle tensioni normali e alle tensioni tangenziali

Note Viene riportato il codice relativo alla sezione(s) e relativo al materiale(m);

Pos. Ascissa del punto di verifica

F ist, F infi Frecce instantanee e a tempo infinito

Momento Momento flettente

Taglio Sollecitazione di taglio

Af inf. Area di armatura longitudinale posta all’intradosso della trave

Af sup. Area di armatura longitudinale posta all’estradosso della trave

AfV Area dell’armatura atta ad assorbire le azioni di taglio

Beff Base della sezione di cls per l’assorbimento del taglio

simboli utilizzati con il metodo delle tensioni ammissibili:

sc max Massima tensione di compressione del calcestruzzo

sf max Massima tensione nell’acciaio

tau max Massima tensione tangenziale nel cls

simboli utilizzati con il metodo degli stati limite:

x/d rapporto tra posizione dell’asse neutro e altezza utile alla rottura della sezione

(per sola flessione)

verif. rapporto Sd/Su con sollecitazioni ultime proporzionali:

valore minore o uguale a 1 per verifica positiva

Verif.V rapporto Sd/Su con sollecitazioni taglianti proporzionali


rRfck rapporto tra la massima compressione nel calcestruzzo e la tensione fck in combinazioni rare [normalizzato a 1]

rFfck rapporto tra la massima compressione nel calcestruzzo e la tensione fck in combinazioni frequenti [normalizzato a 1]

rPfck rapporto tra la massima compressione nel calcestruzzo e la tensione fck in combinazioni quasi permanenti [normalizzato a 1]

rRfyk rapporto tra la massima tensione nell’acciaio e la tensione fyk in combinazioni frequenti[normalizzato a 1]

rFyk rapporto tra la massima tensione nell’acciaio e la tensione fyk in combinazioni rare [normalizzato a 1]

rPfyk rapporto tra la massima tensione nell’acciaio e la tensione fyk in combinazioni quasi permanenti [normalizzato a 1]

wR apertura caratteristica delle fessure in combinazioni rare [mm]

wF apertura caratteristica delle fessure in combinazioni frequenti [mm]

wP apertura caratteristica delle fessure in combinazioni quasi permanenti [mm]

Nel caso in cui si sia proceduto alla verifica delle tamponature secondo il D.M. 14.01.2008 - §7.2.3 viene riportata una tabella riassuntiva delle verifiche degli elementi pannello. La verifica confronta imomenti sollecitanti indotti dal sisma con i momenti resistenti, secondo tre ipotesi, due basate sulla resistenza a pressoflessione della tamponatura ed una basata sul cinematismo a seguito dellaformazione di tre cerniere plastiche sulla tamponatura (rif. Ufficio di Vigilanza sulle Costruzioni, Provincia di Terni).

Qualora la tamponatura sia di tipo antiespulsione (nelle due possibili varianti ordinaria o armata) viene condotta una verifica con meccanismo ad arco con degrado di resistenza. La verifica confronta lepressioni sollecitanti indotte dal sisma con le pressioni resistenti che la tamponatura sviluppa attraverso il meccanismo ad arco. La verifica considera anche il degrado di resistenza dovuto aldanneggiamento nel piano della tamponatura.

Per quest’ultima tamponatura sono disponibili, in funzione del materiale impiegato (materiale [52] o materiale [53]):

- Tamponatura Antiespulsione ordinaria Poroton® Cis Edil sp.30 cm; con metodo di verifica per meccanismo ad arco con degrado di resistenza, sviluppato attraverso i risultati di unprogetto di ricerca sperimentale condotto dall’Università degli Studi di Padova.Utilizzabile per il materiale [52].

- Tamponatura Antiespulsione armata Poroton® Cis Edil sp.30 cm; con metodo di verifica per meccanismo ad arco con degrado di resistenza, sviluppato attraverso i risultati di unprogetto di ricerca sperimentale condotto dall’Università degli Studi di Padova.Utilizzabile per il materiale [53].

La verifica è stata calibrata sulla base di prove sperimentali sul sistema di Tamponatura Antiespulsione anche in presenza di aperture.

_________________________________________________________________________________________________________________________

31

(rif. Rapporti di Prova redatti dal Dipartimento ICEA - Università degli Studi di Padova di test sperimentali condotti sul sistema Tamponatura Antiespulsione di Cis Edil)


Elem. Numero identificativo dell’elemento

Stato Codice di verifica

Ver. c.c. Verifica nell’ipotesi di trave appoggiata con carico concentrato in mezzeria

Ver. c.d. Verifica nell’ipotesi di trave appoggiata con carico distribuito

Ver. c.cin. Verifica nell’ipotesi di cinematismo con formazione di cerniere plastiche in appoggio e mezzeria

Ver. CIS Rapporto pa/pr (valore minore o uguale a 1 per verifica positiva)

Z Quota del baricentro dell'elemento

T1 Periodo proprio dell'edificio nella direzione di interesse (ortogonale al pannello)

Ta Periodo proprio della parete

Sa Accelerazione massima, adimensionalizzata allo SLV

pa Pressione sulla parete causata dall'azione sismica

pr Pressione resistente del meccanismo ad arco

Drift Spostamento relativo interpiano allo SLV valutato secondo il D.M. 14.01.2008 - § 7.3.3.3

Beta a Coef. riduttivo per tener conto del danneggiamento del piano dipendente dallo spostamento, ottenuto sperimentalmente

ID Arch. Tipo G1k G2k Qk Fatt. A s sis. Psi 0 Psi 1 Psi 2 Psi S 2Fatt.Fi

kN/ m2 kN/ m2 kN/ m21 Variab. 1.00 4.00 1.00 0.70 0.70 0.60 0.60 1.00

Elem. Tipo ID Arch. Mat. Spessore Orditura G1k G2k Qk Nodo 1/6.. Nodo 2/7.. Nodo 3/8.. Nodo..Nodo..

kN/ m2 kN/ m2 kN/ m21 SM 1 m=11 1.0 0.0 1.00 4.00 10 11 14 132 SM 1 m=11 1.0 90.0 1.00 4.00 18 22 24 193 SM 1 m=11 1.0 90.0 1.00 4.00 29 18 19 304 SM 1 m=11 1.0 0.0 1.00 4.00 1 159 39 385 SM 1 m=11 1.0 90.0 1.00 4.00 99 100 42 436 SM 1 m=11 1.0 0.0 1.00 4.00 47 48 51 507 SM 1 m=11 1.0 0.0 1.00 4.00 45 50 51 468 SM 1 m=11 1.0 0.0 1.00 4.00 76 59 60 759 SM 1 m=11 1.0 0.0 1.00 4.00 69 66 67 63

10 SM 1 m=11 1.0 0.0 1.00 4.00 117 118 105 12311 SM 1 m=11 1.0 0.0 1.00 4.00 82 83 86 8512 SM 1 m=11 1.0 90.0 1.00 4.00 88 74 70 9013 SM 1 m=11 1.0 90.0 1.00 4.00 99 88 90 10014 SM 1 m=11 1.0 90.0 1.00 4.00 29 30 124 12515 SM 1 m=11 1.0 0.0 1.00 4.00 73 103 104 7216 SM 1 m=11 1.0 90.0 1.00 4.00 119 139 140 12017 SM 1 m=11 1.0 0.0 1.00 4.00 38 39 136 13518 SM 1 m=11 1.0 90.0 1.00 4.00 37 36 119 12019 SM 1 m=11 1.0 90.0 1.00 4.00 36 37 151 152

3.10 Modellazione delle azioniIl programma consente l’uso di diverse tipologie di carico (azioni). Le azioni utilizzate nella modellazione sono individuate da una sigla identificativa ed un codice numerico (gli elementi strutturalirichiamano quest’ultimo nella propria descrizione). Per ogni azione applicata alla struttura viene di riportato il codice, il tipo e la sigla identificativa. Le tabelle successive dettagliano i valoricaratteristici di ogni azione in relazione al tipo. Le tabelle riportano infatti i seguenti dati in relazione al tipo:

1 carico concentrato nodale

_________________________________________________________________________________________________________________________

32

6 dati (forza Fx, Fy, Fz, momento Mx, My, Mz)

2 spostamento nodale impresso

6 dati (spostamento Tx,Ty,Tz, rotazione Rx,Ry,Rz)

3 carico distribuito globale su elemento tipo trave

7 dati (fx,fy,fz,mx,my,mz,ascissa di inizio carico)

7 dati (fx,fy,fz,mx,my,mz,ascissa di fine carico)

4 carico distribuito locale su elemento tipo trave

7 dati (f1,f2,f3,m1,m2,m3,ascissa di inizio carico)

7 dati (f1,f2,f3,m1,m2,m3,ascissa di fine carico)

5 carico concentrato globale su elemento tipo trave

7 dati (Fx,Fy,Fz,Mx,My,Mz,ascissa di carico)

6 carico concentrato locale su elemento tipo trave

7 dati (F1, F2, F3, M1, M2, M3, ascissa di carico)

7 variazione termica applicata ad elemento tipo trave

7 dati (variazioni termiche: uniforme, media e differenza in altezza e larghezza al nodo iniziale e finale)

8 carico di pressione uniforme su elemento tipo piastra

1 dato (pressione)

9 carico di pressione variabile su elemento tipo piastra

4 dati (pressione, quota, pressione, quota)

10 variazione termica applicata ad elemento tipo piastra

2 dati (variazioni termiche: media e differenza nello spessore)

11 carico variabile generale su elementi tipo trave e piastra

1 dato descrizione della tipologia

4 dati per segmento (posizione, valore, posizione, valore)

la tipologia precisa l’ascissa di definizione, la direzione del carico, la modalità di carico e la larghezza d’influenza per gli elementi tipo trave

12 gruppo di carichi con impronta su piastra

9 dati (numero di ripetizioni in direzione X e Y, valore di ciascun carico, posizione centrale del primo, dimensioni dell’ impronta, interasse tra i carichi

_________________________________________________________________________________________________________________________

33

FX

FY

FZ

MX

MY

MZ

Carico concentrato nodale

X

Y

Z

RX

RY

RZ

Spostamento impresso

XY

Z

Carico distribuito globale

21

3 q3i

q3f

Carico distribuito locale

XY

Z

a

Carico concentrato globale

21

3

a

F3

Carico concentrato locale

Carico termico 2D Carico termico 3D

Carico pressione uniforme Carico pressione variabile

Tipo carico concentrato nodale

Id Tipo Fx Fy Fz Mx My MzkN kN kN kN m kN m kN m

_________________________________________________________________________________________________________________________

34

Id Tipo Fx Fy Fz Mx My Mz1 Guida trave chiusa -3.23 1.62 0.0 0.0 0.0 0.02 Guida trave aperta 3.23 -1.62 0.0 0.0 0.0 0.03 Paracadute chiusa -8.18 2.91 0.0 0.0 0.0 0.04 Paracadute aperta 8.18 -2.91 0.0 0.0 0.0 0.05 Manutenzione 0.0 0.0 -15.00 0.0 0.0 0.06 Cabina 0.0 0.0 -9.00 0.0 0.0 0.07 Portata 0.0 0.0 -6.30 0.0 0.0 0.08 Contrappeso 0.0 0.0 -48.00 0.0 0.0 0.09 R Cabina 0.0 0.0 -60.50 0.0 0.0 0.010 F8+F19 0.0 0.0 -43.50 0.0 0.0 0.012 F contrappeso chiuso -0.51 1.06 0.0 0.0 0.0 0.013 F contrappeso aperto 0.51 -1.06 0.0 0.0 0.0 0.0

_________________________________________________________________________________________________________________________

35

3.11 Schematizzazione dei casi di caricoIl programma consente l’applicazione di diverse tipologie di casi di carico.

Sono previsti i seguenti 11 tipi di casi di carico:

Sigla Tipo Descrizione

1 Ggk A caso di carico comprensivo del peso proprio struttura

2 Gk NA caso di carico con azioni permanenti

3 Qk NA caso di carico con azioni variabili

4 Gsk A caso di carico comprensivo dei carichi permanenti sui solai e sulle coperture

5 Qsk A caso di carico comprensivo dei carichi variabili sui solai

6 Qnk A caso di carico comprensivo dei carichi di neve sulle coperture

7 Qtk SA caso di carico comprensivo di una variazione termica agente sulla struttura

8 Qvk NA caso di carico comprensivo di azioni da vento sulla struttura

9 Esk SA caso di carico sismico con analisi statica equivalente

10 Edk SA caso di carico sismico con analisi dinamica

11 Etk NA caso di carico comprensivo di azioni derivanti dall’ incremento di spinta delle terre in condizione sismica

12 Pk NA caso di carico comprensivo di azioni derivanti da coazioni, cedimenti e precompressioni

Sono di tipo automatico A (ossia non prevedono introduzione dati da parte dell’utente) i seguenti casi di carico: 1-Ggk; 4-Gsk; 5-Qsk; 6-Qnk.

Sono di tipo semi-automatico SA (ossia prevedono una minima introduzione dati da parte dell’utente) i seguenti casi di carico:

7-Qtk, in quanto richiede solo il valore della variazione termica;

9-Esk e 10-Edk, in quanto richiedono il valore dell’angolo di ingresso del sisma e l’individuazione dei casi di carico partecipanti alla definizione delle masse.

Sono di tipo non automatico NA ossia prevedono la diretta applicazione di carichi generici agli elementi strutturali (si veda il precedente punto Modellazione delle Azioni) i restanti casi di carico.

Nella tabella successiva vengono riportati i casi di carico agenti sulla struttura, con l’indicazione dei dati relativi al caso di carico stesso:

Numero Tipo e Sigla identificativa, Valore di riferimento del caso di carico (se previsto).

In successione, per i casi di carico non automatici, viene riportato l’elenco di nodi ed elementi direttamente caricati con la sigla identificativa del carico.

Per i casi di carico di tipo sismico (9-Esk e 10-Edk), viene riportata la tabella di definizione delle masse: per ogni caso di carico partecipante alla definizione delle masse viene indicata la relativaaliquota (partecipazione) considerata. Si precisa che per i caso di carico 5-Qsk e 6-Qnk la partecipazione è prevista localmente per ogni elemento solaio o copertura presente nel modello (si confronti ilvalore Sksol nel capitolo relativo agli elementi solaio) e pertanto la loro partecipazione è di norma pari a uno.

CDC Tipo Sigla Id Note1 Ggk CDC=Ggk (peso proprio della struttura)2 Gsk CDC=G1sk (permanente solai-coperture)3 Qsk CDC=Qsk (variabile solai)4 Edk CDC=Ed (dinamico SLU) alfa=0.0 (ecc. +) partecipazione:1.00 per 1 CDC=Ggk (peso proprio della struttura)

partecipazione:1.00 per 2 CDC=G1sk (permanente solai-coperture)partecipazione:1.00 per 3 CDC=Qsk (variabile solai)partecipazione:0.60 per 12 CDC=Qk Cabina

5 Edk CDC=Ed (dinamico SLU) alfa=0.0 (ecc. -) come precedente CDC sismico6 Edk CDC=Ed (dinamico SLU) alfa=90.00 (ecc. +) come precedente CDC sismico7 Edk CDC=Ed (dinamico SLU) alfa=90.00 (ecc. -) come precedente CDC sismico8 Edk CDC=Ed (dinamico SLD) alfa=0.0 (ecc. +) come precedente CDC sismico9 Edk CDC=Ed (dinamico SLD) alfa=0.0 (ecc. -) come precedente CDC sismico10 Edk CDC=Ed (dinamico SLD) alfa=90.00 (ecc. +) come precedente CDC sismico11 Edk CDC=Ed (dinamico SLD) alfa=90.00 (ecc. -) come precedente CDC sismico12 Qk CDC=Qk Cabina Nodo: 213 Azione : Cabina

Nodo: 213 Azione : PortataNodo:da 215 a 216 Azione : Guida trave chiusaNodo:da 215 a 216 Azione : F contrappeso chiusoNodo:da 229 a 230 Azione : F contrappeso apertoNodo:da 229 a 230 Azione : Guida trave aperta

_________________________________________________________________________________________________________________________

36

CDC Tipo Sigla Id NoteNodo: 267 Azione : Contrappeso

13 Qk CDC=Qk Contrappeso Nodo: 175 Azione : ContrappesoNodo: 214 Azione : R CabinaNodo:da 215 a 216 Azione : Guida trave chiusaNodo:da 215 a 216 Azione : F contrappeso chiusoNodo:da 229 a 230 Azione : F contrappeso apertoNodo:da 229 a 230 Azione : Guida trave aperta

14 Qk CDC=Qk Paracadute Nodo:da 215 a 216 Azione : Paracadute chiusaNodo:da 229 a 230 Azione : Paracadute apertaNodo: 264 Azione : F8+F19Nodo: 269 Azione : F8+F19

15 Qk CDC=Qk Manutenzione Nodo: 212 Azione : Manutenzione

_________________________________________________________________________________________________________________________

37

3.12 Definizione delle combinazioniIl programma combina i diversi tipi di casi di carico (CDC) secondo le regole previste dalla normativa vigente.

Le combinazioni previste sono destinate al controllo di sicurezza della struttura ed alla verifica degli spostamenti e delle sollecitazioni.

La prima tabella delle combinazioni riportata di seguito comprende le seguenti informazioni: Numero, Tipo, Sigla identificativa. Una seconda tabella riporta il peso nella combinazione assunto per ognicaso di carico.

Ai fini delle verifiche degli stati limite si definiscono le seguenti combinazioni delle azioni:

Combinazione fondamentale SLU

G1

G1

+ G2

G2

+ PP +

Q1Q

k1 +

Q2

02Q

k2 +

Q3

03Q

k3 + …

Combinazione caratteristica (rara) SLE

G1 + G

2 + P + Q

k1 +

02Q

k2 +

03Q

k3+ …

Combinazione frequente SLE

G1 + G

2 + P +

11Q

k1 +

22Q

k2 +

23Q

k3 + …

Combinazione quasi permanente SLE

G1 + G2 + P + 21Q

k1 +

22Q

k2 +

23Q

k3 + …

Combinazione sismica, impiegata per gli stati limite ultimi e di esercizio connessi all’azione sismica E

E + G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …

Combinazione eccezionale, impiegata per gli stati limite connessi alle azioni eccezionali

G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …

Dove:

NTC 2008 Tabella 2.5.I

Destinazione d’uso/azione 0

1

2

Categoria A residenziali 0,70

0,50 0,30

Categoria B uffici 0,70

0,50 0,30

Categoria C ambienti suscettibili di affollamento 0,70

0,70 0,60

Categoria D ambienti ad uso commerciale 0,70

0,70 0,60

Categoria E biblioteche, archivi, magazzini,… 1,00

0,90 0,80

Categoria F Rimesse e parcheggi (autoveicoli <=30kN)

0,70

0,70 0,60

Categoria G Rimesse e parcheggi (autoveicoli > 30kN) 0,70

0,50 0,30

Categoria H Coperture 0,00

0,00 0,00

Vento 0,60

0,20 0,00

Neve a quota <= 1000 m 0,50

0,20 0,00

Neve a quota > 1000 m 0,70

0,50 0,20

Variazioni Termiche 0,60

0,50 0,00

_________________________________________________________________________________________________________________________

38

Nelle verifiche possono essere adottati in alternativa due diversi approcci progettuali:

- per l’approccio 1 si considerano due diverse combinazioni di gruppi di coefficienti di sicurezza parziali per le azioni, per i materiali e per la resistenza globale (combinazione 1 con coefficienti A1 e

combinazione 2 con coefficienti A2),

- per l’approccio 2 si definisce un’unica combinazione per le azioni, per la resistenza dei materiali e per la resistenza globale (con coefficienti A1).


Coefficientef

EQU A1 A2

Carichi permanenti FavorevoliSfavorevoli

G1

0,91,1

1,01,3

1,01,0

Carichi permanenti nonstrutturali(Non compiutamente definiti)

FavorevoliSfavorevoli

G2

0,01,5

0,01,5

0,01,3

Carichi variabili FavorevoliSfavorevoli

Qi

0,01,5

0,01,5

0,01,3

_________________________________________________________________________________________________________________________

39

Cmb Tipo Sigla Id effetto P-delta1 SLU Comb. SLU A1 1 2 SLU Comb. SLU A1 2 3 SLU Comb. SLU A1 3 4 SLU Comb. SLU A1 4 5 SLU Comb. SLU A1 5 6 SLU Comb. SLU A1 6 7 SLU Comb. SLU A1 7 8 SLU Comb. SLU A1 8 9 SLU Comb. SLU A1 9 10 SLU Comb. SLU A1 10 11 SLU Comb. SLU A1 11 12 SLU Comb. SLU A1 12 13 SLU Comb. SLU A1 13 14 SLU Comb. SLU A1 14 15 SLU Comb. SLU A1 15 16 SLU Comb. SLU A1 16 17 SLU Comb. SLU A1 17 18 SLU Comb. SLU A1 18 19 SLU Comb. SLU A1 19 20 SLU Comb. SLU A1 20 21 SLE(r) Comb. SLE(rara) 21 22 SLE(r) Comb. SLE(rara) 22 23 SLE(r) Comb. SLE(rara) 23 24 SLE(r) Comb. SLE(rara) 24 25 SLE(r) Comb. SLE(rara) 25 26 SLE(r) Comb. SLE(rara) 26 27 SLE(r) Comb. SLE(rara) 27 28 SLE(r) Comb. SLE(rara) 28 29 SLE(r) Comb. SLE(rara) 29 30 SLE(r) Comb. SLE(rara) 30 31 SLE(f) Comb. SLE(freq.) 31 32 SLE(f) Comb. SLE(freq.) 32 33 SLE(p) Comb. SLE(perm.) 33 34 SLU Comb. SLU A1 (SLV sism.) 3435 SLU Comb. SLU A1 (SLV sism.) 3536 SLU Comb. SLU A1 (SLV sism.) 3637 SLU Comb. SLU A1 (SLV sism.) 3738 SLU Comb. SLU A1 (SLV sism.) 3839 SLU Comb. SLU A1 (SLV sism.) 3940 SLU Comb. SLU A1 (SLV sism.) 4041 SLU Comb. SLU A1 (SLV sism.) 4142 SLU Comb. SLU A1 (SLV sism.) 4243 SLU Comb. SLU A1 (SLV sism.) 4344 SLU Comb. SLU A1 (SLV sism.) 4445 SLU Comb. SLU A1 (SLV sism.) 4546 SLU Comb. SLU A1 (SLV sism.) 4647 SLU Comb. SLU A1 (SLV sism.) 4748 SLU Comb. SLU A1 (SLV sism.) 4849 SLU Comb. SLU A1 (SLV sism.) 4950 SLU Comb. SLU A1 (SLV sism.) 5051 SLU Comb. SLU A1 (SLV sism.) 5152 SLU Comb. SLU A1 (SLV sism.) 5253 SLU Comb. SLU A1 (SLV sism.) 5354 SLU Comb. SLU A1 (SLV sism.) 5455 SLU Comb. SLU A1 (SLV sism.) 5556 SLU Comb. SLU A1 (SLV sism.) 5657 SLU Comb. SLU A1 (SLV sism.) 5758 SLU Comb. SLU A1 (SLV sism.) 5859 SLU Comb. SLU A1 (SLV sism.) 5960 SLU Comb. SLU A1 (SLV sism.) 6061 SLU Comb. SLU A1 (SLV sism.) 6162 SLU Comb. SLU A1 (SLV sism.) 6263 SLU Comb. SLU A1 (SLV sism.) 6364 SLU Comb. SLU A1 (SLV sism.) 6465 SLU Comb. SLU A1 (SLV sism.) 6566 SLD(sis) Comb. SLE (SLD Danno sism.) 6667 SLD(sis) Comb. SLE (SLD Danno sism.) 6768 SLD(sis) Comb. SLE (SLD Danno sism.) 6869 SLD(sis) Comb. SLE (SLD Danno sism.) 6970 SLD(sis) Comb. SLE (SLD Danno sism.) 7071 SLD(sis) Comb. SLE (SLD Danno sism.) 7172 SLD(sis) Comb. SLE (SLD Danno sism.) 7273 SLD(sis) Comb. SLE (SLD Danno sism.) 7374 SLD(sis) Comb. SLE (SLD Danno sism.) 7475 SLD(sis) Comb. SLE (SLD Danno sism.) 7576 SLD(sis) Comb. SLE (SLD Danno sism.) 7677 SLD(sis) Comb. SLE (SLD Danno sism.) 7778 SLD(sis) Comb. SLE (SLD Danno sism.) 78

_________________________________________________________________________________________________________________________

40

Cmb Tipo Sigla Id effetto P-delta79 SLD(sis) Comb. SLE (SLD Danno sism.) 7980 SLD(sis) Comb. SLE (SLD Danno sism.) 8081 SLD(sis) Comb. SLE (SLD Danno sism.) 8182 SLD(sis) Comb. SLE (SLD Danno sism.) 8283 SLD(sis) Comb. SLE (SLD Danno sism.) 8384 SLD(sis) Comb. SLE (SLD Danno sism.) 8485 SLD(sis) Comb. SLE (SLD Danno sism.) 8586 SLD(sis) Comb. SLE (SLD Danno sism.) 8687 SLD(sis) Comb. SLE (SLD Danno sism.) 8788 SLD(sis) Comb. SLE (SLD Danno sism.) 8889 SLD(sis) Comb. SLE (SLD Danno sism.) 8990 SLD(sis) Comb. SLE (SLD Danno sism.) 9091 SLD(sis) Comb. SLE (SLD Danno sism.) 9192 SLD(sis) Comb. SLE (SLD Danno sism.) 9293 SLD(sis) Comb. SLE (SLD Danno sism.) 9394 SLD(sis) Comb. SLE (SLD Danno sism.) 9495 SLD(sis) Comb. SLE (SLD Danno sism.) 9596 SLD(sis) Comb. SLE (SLD Danno sism.) 9697 SLD(sis) Comb. SLE (SLD Danno sism.) 97

Cmb CDC 1/15... CDC 2/16... CDC 3/17... CDC 4/18... CDC 5/19... CDC 6/20... CDC 7/21... CDC 8/22... CDC 9/23... CDC 10/24... CDC 11/25... CDC 12/26... CDC 13/27... CDC 14/28...1 1.30 1.30 1.50 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.50 0.0 0.0

0.02 1.00 1.00 1.50 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.50 0.0 0.0

0.03 1.30 1.30 1.05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.50 0.0 0.0

0.04 1.00 1.00 1.05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.50 0.0 0.0

0.05 1.30 1.30 1.50 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.50 0.0

0.06 1.00 1.00 1.50 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.50 0.0

0.07 1.30 1.30 1.05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.50 0.0

0.08 1.00 1.00 1.05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.50 0.0

0.09 1.30 1.30 1.50 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.50

0.010 1.00 1.00 1.50 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.50

0.011 1.30 1.30 1.05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.50

0.012 1.00 1.00 1.05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.50

0.013 1.30 1.30 1.50 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

1.5014 1.00 1.00 1.50 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

1.5015 1.30 1.30 1.05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

1.5016 1.00 1.00 1.05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

1.5017 1.30 1.30 1.50 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.018 1.00 1.00 1.50 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.019 1.30 1.30 1.05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.020 1.00 1.00 1.05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.021 1.00 1.00 1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.00 0.0 0.0

0.022 1.00 1.00 0.70 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.00 0.0 0.0

0.023 1.00 1.00 1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.00 0.0

0.024 1.00 1.00 0.70 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.00 0.0

0.025 1.00 1.00 1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.00

0.026 1.00 1.00 0.70 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.00

0.027 1.00 1.00 1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

1.0028 1.00 1.00 0.70 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

_________________________________________________________________________________________________________________________

41

Cmb CDC 1/15... CDC 2/16... CDC 3/17... CDC 4/18... CDC 5/19... CDC 6/20... CDC 7/21... CDC 8/22... CDC 9/23... CDC 10/24... CDC 11/25... CDC 12/26... CDC 13/27... CDC 14/28...1.00

29 1.00 1.00 1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

30 1.00 1.00 0.70 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

31 1.00 1.00 0.70 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

32 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

33 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

34 1.00 1.00 0.60 -1.00 0.0 -0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

35 1.00 1.00 0.60 -1.00 0.0 0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

36 1.00 1.00 0.60 1.00 0.0 -0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

37 1.00 1.00 0.60 1.00 0.0 0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

38 1.00 1.00 0.60 -1.00 0.0 0.0 -0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

39 1.00 1.00 0.60 -1.00 0.0 0.0 0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

40 1.00 1.00 0.60 1.00 0.0 0.0 -0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

41 1.00 1.00 0.60 1.00 0.0 0.0 0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

42 1.00 1.00 0.60 0.0 -1.00 -0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

43 1.00 1.00 0.60 0.0 -1.00 0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

44 1.00 1.00 0.60 0.0 1.00 -0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

45 1.00 1.00 0.60 0.0 1.00 0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

46 1.00 1.00 0.60 0.0 -1.00 0.0 -0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

47 1.00 1.00 0.60 0.0 -1.00 0.0 0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

48 1.00 1.00 0.60 0.0 1.00 0.0 -0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

49 1.00 1.00 0.60 0.0 1.00 0.0 0.30 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

50 1.00 1.00 0.60 -0.30 0.0 -1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

51 1.00 1.00 0.60 -0.30 0.0 1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

52 1.00 1.00 0.60 0.30 0.0 -1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

53 1.00 1.00 0.60 0.30 0.0 1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

54 1.00 1.00 0.60 0.0 -0.30 -1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

55 1.00 1.00 0.60 0.0 -0.30 1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

56 1.00 1.00 0.60 0.0 0.30 -1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

57 1.00 1.00 0.60 0.0 0.30 1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

58 1.00 1.00 0.60 -0.30 0.0 0.0 -1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

59 1.00 1.00 0.60 -0.30 0.0 0.0 1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

60 1.00 1.00 0.60 0.30 0.0 0.0 -1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

61 1.00 1.00 0.60 0.30 0.0 0.0 1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

62 1.00 1.00 0.60 0.0 -0.30 0.0 -1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

63 1.00 1.00 0.60 0.0 -0.30 0.0 1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

64 1.00 1.00 0.60 0.0 0.30 0.0 -1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

65 1.00 1.00 0.60 0.0 0.30 0.0 1.00 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0

66 1.00 1.00 0.60 0.0 0.0 0.0 0.0 -1.00 0.0 -0.30 0.0 0.0 0.0 0.00.0

67 1.00 1.00 0.60 0.0 0.0 0.0 0.0 -1.00 0.0 0.30 0.0 0.0 0.0 0.00.0

68 1.00 1.00 0.60 0.0 0.0 0.0 0.0 1.00 0.0 -0.30 0.0 0.0 0.0 0.00.0

_________________________________________________________________________________________________________________________

42

Cmb CDC 1/15... CDC 2/16... CDC 3/17... CDC 4/18... CDC 5/19... CDC 6/20... CDC 7/21... CDC 8/22... CDC 9/23... CDC 10/24... CDC 11/25... CDC 12/26... CDC 13/27... CDC 14/28...69 1.00 1.00 0.60 0.0 0.0 0.0 0.0 1.00 0.0 0.30 0.0 0.0 0.0 0.0

0.070 1.00 1.00 0.60 0.0 0.0 0.0 0.0 -1.00 0.0 0.0 -0.30 0.0 0.0 0.0

0.071 1.00 1.00 0.60 0.0 0.0 0.0 0.0 -1.00 0.0 0.0 0.30 0.0 0.0 0.0

0.072 1.00 1.00 0.60 0.0 0.0 0.0 0.0 1.00 0.0 0.0 -0.30 0.0 0.0 0.0

0.073 1.00 1.00 0.60 0.0 0.0 0.0 0.0 1.00 0.0 0.0 0.30 0.0 0.0 0.0

0.074 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 -1.00 -0.30 0.0 0.0 0.0 0.0

0.075 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 -1.00 0.30 0.0 0.0 0.0 0.0

0.076 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 1.00 -0.30 0.0 0.0 0.0 0.0

0.077 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 1.00 0.30 0.0 0.0 0.0 0.0

0.078 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 -1.00 0.0 -0.30 0.0 0.0 0.0

0.079 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 -1.00 0.0 0.30 0.0 0.0 0.0

0.080 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 1.00 0.0 -0.30 0.0 0.0 0.0

0.081 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 1.00 0.0 0.30 0.0 0.0 0.0

0.082 1.00 1.00 0.60 0.0 0.0 0.0 0.0 -0.30 0.0 -1.00 0.0 0.0 0.0 0.0

0.083 1.00 1.00 0.60 0.0 0.0 0.0 0.0 -0.30 0.0 1.00 0.0 0.0 0.0 0.0

0.084 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.30 0.0 -1.00 0.0 0.0 0.0 0.0

0.085 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.30 0.0 1.00 0.0 0.0 0.0 0.0

0.086 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 -0.30 -1.00 0.0 0.0 0.0 0.0

0.087 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 -0.30 1.00 0.0 0.0 0.0 0.0

0.088 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 0.30 -1.00 0.0 0.0 0.0 0.0

0.089 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 0.30 1.00 0.0 0.0 0.0 0.0

0.090 1.00 1.00 0.60 0.0 0.0 0.0 0.0 -0.30 0.0 0.0 -1.00 0.0 0.0 0.0

0.091 1.00 1.00 0.60 0.0 0.0 0.0 0.0 -0.30 0.0 0.0 1.00 0.0 0.0 0.0

0.092 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.30 0.0 0.0 -1.00 0.0 0.0 0.0

0.093 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.30 0.0 0.0 1.00 0.0 0.0 0.0

0.094 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 -0.30 0.0 -1.00 0.0 0.0 0.0

0.095 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 -0.30 0.0 1.00 0.0 0.0 0.0

0.096 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 0.30 0.0 -1.00 0.0 0.0 0.0

0.097 1.00 1.00 0.60 0.0 0.0 0.0 0.0 0.0 0.30 0.0 1.00 0.0 0.0 0.0

0.0

3.13 Azione sismicaL’azione sismica sulle costruzioni è valutata a partire dalla “pericolosità sismica di base”, in

condizioni ideali di sito di riferimento rigido con superficie topografica orizzontale.

Allo stato attuale, la pericolosità sismica su reticolo di riferimento nell’intervallo di riferimento è fornita dai dati pubblicati sul sito http://esse1.mi.ingv.it/. Per punti non coincidenti con il reticolo diriferimento e periodi di ritorno non contemplati direttamente si opera come indicato nell’ allegato alle NTC (rispettivamente media pesata e interpolazione).

L’ azione sismica viene definita in relazione ad un periodo di riferimento Vr che si ricava, per ciascun tipo di costruzione, moltiplicandone la vita nominale per il coefficiente d’uso (vedi tabellaParametri della struttura). Fissato il periodo di riferimento Vr e la probabilità di superamento Pver associata a ciascuno degli stati limite considerati, si ottiene il periodo di ritorno Tr e i relativiparametri di pericolosità sismica (vedi tabella successiva):

ag: accelerazione orizzontale massima del terreno;

Fo: valore massimo del fattore di amplificazione dello spettro in accelerazione orizzontale;

T*c: periodo di inizio del tratto a velocità costante dello spettro in accelerazione orizzontale;

_________________________________________________________________________________________________________________________

43

http://esse1.mi.ingv.it/.

Parametri della struttura

Classe d'uso

Vita Vn [anni] Coeff. Uso Periodo Vr [anni] Tipo di suolo Categoria topografica

III 50.0 1.5 75.0 B T2

Individuati su reticolo di riferimento i parametri di pericolosità sismica si valutano i parametri spettrali riportati in tabella:

S è il coefficiente che tiene conto della categoria di sottosuolo e delle condizioni topografiche

mediante la relazione seguente S = Ss*St (3.2.5)

Fo è il fattore che quantifica l’amplificazione spettrale massima, su sito di riferimento rigido orizzontale

Fv è il fattore che quantifica l’amplificazione spettrale massima verticale, in termini di accelerazione orizzontale massima del terreno ag su sito di riferimento rigido orizzontale

Tb è il periodo corrispondente all’inizio del tratto dello spettro ad accelerazione costante.

Tc è il periodo corrispondente all’inizio del tratto dello spettro a velocità costante.

Td è il periodo corrispondente all’inizio del tratto dello spettro a spostamento costante.

Id nodo Longitudine Latitudine DistanzaKm

Loc. 16.612 40.66733902 16.587 40.642 3.45233903 16.653 40.641 4.51533681 16.655 40.691 4.51933680 16.589 40.692 3.365

SL Pver Tr ag Fo T*cAnni g sec

SLO 81.0 45.0 0.047 2.510 0.300SLD 63.0 75.0 0.061 2.540 0.320SLV 10.0 712.0 0.161 2.520 0.350SLC 5.0 1462.0 0.202 2.560 0.350

SL ag S Fo Fv Tb Tc Tdg sec sec sec

SLO 0.047 1.440 2.510 0.735 0.140 0.420 1.788SLD 0.061 1.440 2.540 0.846 0.147 0.442 1.844SLV 0.161 1.440 2.520 1.364 0.158 0.475 2.243SLC 0.202 1.431 2.560 1.555 0.158 0.475 2.410

_________________________________________________________________________________________________________________________

44

3.14 Risultati analisi sismicheIl programma consente l’analisi di diverse configurazioni sismiche.

Sono previsti, infatti, i seguenti casi di carico:

9. Esk caso di carico sismico con analisi statica equivalente

10. Edk caso di carico sismico con analisi dinamica

Ciascun caso di carico è caratterizzato da un angolo di ingresso e da una configurazione di masse determinante la forza sismica complessiva (si rimanda al capitolo relativo ai casi di carico perchiarimenti inerenti questo aspetto).

Nella colonna Note, in funzione della norma in uso sono riportati i parametri fondamentali che caratterizzano l’ azione sismica: in particolare possono essere presenti i seguenti valori:

Angolo di ingresso Angolo di ingresso dell’azione sismica orizzontale

Fattore di importanza Fattore di importanza dell’edificio, in base alla categoria di appartenenza

Zona sismica Zona sismica

Accelerazione ag Accelerazione orizzontale massima sul suolo

Categoria suolo Categoria di profilo stratigrafico del suolo di fondazione

Fattore di struttura q Fattore dipendente dalla tipologia strutturale

Fattore di sito S Fattore dipendente dalla stratigrafia e dal profilo topografico

Classe di duttilità CD Classe di duttilità della struttura – “A” duttilità alta, “B” duttilità bassa

Fattore riduz. SLD Fattore di riduzione dello spettro elastico per lo stato limite di danno

Periodo proprio T1 Periodo proprio di vibrazione della struttura

Coefficiente Lambda Coefficiente dipendente dal periodo proprio T1 e dal numero di piani della struttura

Ordinata spettro Sd(T1) Valore delle ordinate dello spettro di progetto per lo stato limite ultimo, componente orizzontale (verticale Svd)

Ordinata spettro Se(T1) Valore delle ordinate dello spettro elastico ridotta del fattore SLD per lo stato limite di danno, componente orizzontale (verticale Sve)

Ordinata spettro S (Tb-Tc) Valore dell’ ordinata dello spettro in uso nel tratto costante

numero di modi considerati Numero di modi di vibrare della struttura considerati nell’analisi dinamica

Per ciascun caso di carico sismico viene riportato l’insieme di dati sotto riportati (le masse sono espresse in unità di forza):

a) analisi sismica statica equivalente:

quota, posizione del centro di applicazione e azione orizzontale risultante, posizione del baricentro delle rigidezze, rapporto r/Ls (per strutture a nucleo), indici diregolarità e/r secondo EC8 4.2.3.2

azione sismica complessiva

b) analisi sismica dinamica con spettro di risposta:

quota, posizione del centro di massa e massa risultante, posizione del baricentro delle rigidezze, rapporto r/Ls (per strutture a nucleo) , indici di regolarità e/r secondo EC84.2.3.2

frequenza, periodo,accelerazione spettrale, massa eccitata nelle tre direzioni globali per tutti i modi

massa complessiva ed aliquota di massa complessiva eccitata.

Per ciascuna combinazione sismica definita SLD o SLO viene riportato il livello di deformazione etaT (dr) degli elementi strutturali verticali. Per semplicità di consultazione il livello è espresso anchein unità 1000*etaT/h da confrontare direttamente con i valori forniti nella norma ( es. 5 per edifici con tamponamenti collegati rigidamente alla struttura, 10.0 per edifici con tamponamenti collegatielasticamente, 3 per edifici in muratura ordinaria, 4 per edifici in muratura armata).

Qualora si applichi il D.M. 96 (vedi NOTA sul capitolo "normativa di riferimento") l’analisi sismica dinamica può essere comprensiva di sollecitazione verticale contemporanea a quella orizzontale,nel qual caso è effettuata una sovrapposizione degli effetti in ragione della radice dei quadrati degli effetti stessi. Per ciascuna combinazione sismica - analisi effettuate con il D.M. 96 (vedi NOTA sulcapitolo "normativa di riferimento") - viene riportato il livello di deformazione etaT, etaP e etaD degli elementi strutturali verticali. Per semplicità di consultazione il livello è espresso in unità1000*etaT/h da confrontare direttamente con il valore 2 o 4 per la verifica.

_________________________________________________________________________________________________________________________

45

Per gli edifici sismicamente isolati si riportano di seguito le verifiche condotte sui dispositivi di isolamento. Le verifiche sono effettuate secondo l’ allegato 10.A del l’Ordinanza 3274 e smi. Inparticolare la tabella, per ogni combinazione SLU (SLC per il DM 14-01-2008) sismica riporta il codice di verifica e i valori utilizzati per la verifica: spostamento dE, area ridotta e dimensione A2,azione verticale, deformazioni di taglio dell’ elastomero e tensioni nell’ acciaio.

Nodo Nodo di appoggio dell’ isolatore

Cmb Combinazione oggetto della verifica

Verif. Codice di verifica ok – verifica positiva , NV – verifica negativa, ND – verifica non completata

dE Spostamento relativo tra le due facce (amplificato del 20% per Ordinanza 3274 e smi) combinato con la regola del 30%

Ang fi Angolo utilizzato per il calcolo dell’ area ridotta Ar (per dispositivi circolari)

V Azione verticale agente

Ar Area ridotta efficace

Dim A2 Dimensione utile per il calcolo della deformazione per rotazione

Sig s Tensione nell’ inserto in acciaio

Gam c(a,s,t) Deformazioni di taglio dell’ elestomero

Vcr Carico critico per instabilità

Affinché la verifica sia positiva deve essere:

1) V > 0

2) Sig s < fyk

3) Gam t < 5

4) Gam s < Gam * (caratteristica dell’ elastomero)

5) Gam s < 2

6) V < 0.5 Vcr

CDC Tipo Sigla Id Note4 Edk CDC=Ed (dinamico SLU) alfa=0.0 (ecc. +)

categoria suolo: Bfattore di sito S = 1.440ordinata spettro (tratto Tb-Tc) = 0.583 gangolo di ingresso:0.0eccentricità aggiuntiva: positivaperiodo proprio T1: 0.659 sec.fattore di struttura q: 1.000fattore per spost. mu d: 1.000classe di duttilità CD: Bnumero di modi considerati: 9combinaz. modale: CQC

Quota M Sismica x g Pos. GX Pos. GY E agg. X-X E agg. Y-Y Pos. KX Pos. KY rapp. r/Ls rapp. ex/rx rapp. ey/ry m kN m m m m m m21.95 3.05 -0.85 -1.13 0.0 -0.03 0.0 0.0 0.0 0.0 0.021.93 9.47 1.46 0.92 0.0 -0.08 0.98 0.80 1.495 0.441 0.06721.41 4.38 -0.76 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020.62 19.32 0.76 0.86 0.0 -0.08 0.98 0.80 1.495 0.200 0.03420.50 2.84 -0.77 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.020.17 6.19 -0.27 2.00 0.0 -0.04 0.0 0.0 0.0 0.0 0.020.00 1.49 0.98 0.0 0.0 0.0 0.98 0.0 1.732 0.0 0.019.07 8.76 1.54 1.51 0.0 -0.12 0.98 0.80 1.066 0.516 0.39318.75 3.01 2.34 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.0

_________________________________________________________________________________________________________________________

46

Quota M Sismica x g Pos. GX Pos. GY E agg. X-X E agg. Y-Y Pos. KX Pos. KY rapp. r/Ls rapp. ex/rx rapp. ey/ry17.62 8.14 1.44 0.52 0.0 -0.08 0.98 0.80 1.184 0.421 0.14816.12 5.55 0.98 0.80 0.0 -0.08 0.98 0.80 1.495 0.0 0.014.62 5.20 0.98 0.85 0.0 -0.08 0.98 0.80 1.495 0.0 0.02913.95 1.47 0.98 0.0 0.0 0.0 0.98 0.0 1.732 0.0 0.013.12 4.42 0.98 1.00 0.0 -0.08 0.98 0.80 1.495 0.0 0.11011.64 8.28 0.38 0.51 0.0 -0.08 0.98 0.80 1.064 0.547 0.15410.58 3.12 -0.72 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.010.25 5.96 -0.28 2.01 0.0 -0.04 0.0 0.0 0.0 0.0 0.010.12 5.15 1.01 0.73 0.0 -0.08 0.98 0.80 1.495 0.030 0.0359.19 4.88 2.06 1.99 0.0 -0.04 0.0 0.0 0.0 0.0 0.08.86 2.78 2.37 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.08.62 5.07 0.91 0.79 0.0 -0.08 0.98 0.80 1.495 0.060 0.0047.80 2.90 2.35 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07.46 4.12 -0.28 0.0 0.0 0.0 0.98 0.0 1.071 1.287 0.07.12 3.98 1.00 1.01 0.0 -0.08 0.98 0.80 1.495 0.019 0.1186.40 3.15 -0.72 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.06.01 2.27 2.33 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.05.62 3.83 0.96 0.99 0.0 -0.08 0.98 0.80 1.495 0.019 0.1075.30 4.37 2.01 0.23 0.0 -0.02 0.98 0.0 1.213 1.053 0.1424.96 3.08 -0.73 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04.12 3.90 1.07 1.02 0.0 -0.08 0.98 0.80 1.495 0.079 0.1243.90 2.95 -0.77 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.03.57 6.14 -0.27 2.00 0.0 -0.04 0.0 0.0 0.0 0.0 0.03.42 1.47 0.98 0.0 0.0 0.0 0.98 0.0 1.732 0.0 0.02.62 4.01 0.94 0.94 0.0 -0.08 0.98 0.80 1.495 0.040 0.0782.51 4.71 2.07 2.01 0.0 -0.04 0.0 0.0 0.0 0.0 0.02.18 2.95 2.34 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.0Risulta 172.34

Modo Frequenza Periodo Acc. Spettrale M efficace X x g % M efficace Y x g % M efficace Z x g % Energia Energia x vHz sec g kN kN kN

1 1.220 0.820 0.338 1.16 0.7 116.46 67.6 0.10 5.60e-02 0.0 0.02 1.517 0.659 0.420 126.16 73.2 4.49e-04 2.61e-04 0.02 1.37e-02 0.0 0.03 1.940 0.516 0.537 7.80 4.5 15.26 8.9 3.66e-03 2.12e-03 0.0 0.04 4.236 0.236 0.583 0.76 0.4 3.62 2.1 3.22e-04 1.87e-04 0.0 0.05 4.954 0.202 0.583 24.38 14.1 0.92 0.5 2.44e-03 1.42e-03 0.0 0.06 5.792 0.173 0.583 1.45 0.8 4.16 2.4 6.85e-03 3.97e-03 0.0 0.07 5.918 0.169 0.583 0.03 1.53e-02 0.14 8.29e-02 8.40e-04 4.88e-04 0.0 0.08 6.632 0.151 0.567 0.43 0.3 14.57 8.5 0.05 2.64e-02 0.0 0.09 7.239 0.138 0.539 1.30 0.8 2.03 1.2 0.03 1.85e-02 0.0 0.0Risulta 163.47 157.16 0.21In percentuale 94.85 91.19 0.12

CDC Tipo Sigla Id Note5 Edk CDC=Ed (dinamico SLU) alfa=0.0 (ecc. -)

categoria suolo: Bfattore di sito S = 1.440ordinata spettro (tratto Tb-Tc) = 0.583 gangolo di ingresso:0.0eccentricità aggiuntiva: negativaperiodo proprio T1: 0.649 sec.fattore di struttura q: 1.000fattore per spost. mu d: 1.000classe di duttilità CD: Bnumero di modi considerati: 9combinaz. modale: CQC

Quota M Sismica x g Pos. GX Pos. GY E agg. X-X E agg. Y-Y Pos. KX Pos. KY rapp. r/Ls rapp. ex/rx rapp. ey/ry m kN m m m m m m21.95 3.05 -0.85 -1.13 0.0 0.03 0.0 0.0 0.0 0.0 0.021.93 9.47 1.46 0.92 0.0 0.08 0.98 0.80 1.495 0.441 0.06721.41 4.38 -0.76 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020.62 19.32 0.76 0.86 0.0 0.08 0.98 0.80 1.495 0.200 0.03420.50 2.84 -0.77 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.020.17 6.19 -0.27 2.00 0.0 0.04 0.0 0.0 0.0 0.0 0.0

_________________________________________________________________________________________________________________________

47

Quota M Sismica x g Pos. GX Pos. GY E agg. X-X E agg. Y-Y Pos. KX Pos. KY rapp. r/Ls rapp. ex/rx rapp. ey/ry20.00 1.49 0.98 0.0 0.0 0.0 0.98 0.0 1.732 0.0 0.019.07 8.76 1.54 1.51 0.0 0.12 0.98 0.80 1.066 0.516 0.39318.75 3.01 2.34 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.017.62 8.14 1.44 0.52 0.0 0.08 0.98 0.80 1.184 0.421 0.14816.12 5.55 0.98 0.80 0.0 0.08 0.98 0.80 1.495 0.0 0.014.62 5.20 0.98 0.85 0.0 0.08 0.98 0.80 1.495 0.0 0.02913.95 1.47 0.98 0.0 0.0 0.0 0.98 0.0 1.732 0.0 0.013.12 4.42 0.98 1.00 0.0 0.08 0.98 0.80 1.495 0.0 0.11011.64 8.28 0.38 0.51 0.0 0.08 0.98 0.80 1.064 0.547 0.15410.58 3.12 -0.72 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.010.25 5.96 -0.28 2.01 0.0 0.04 0.0 0.0 0.0 0.0 0.010.12 5.15 1.01 0.73 0.0 0.08 0.98 0.80 1.495 0.030 0.0359.19 4.88 2.06 1.99 0.0 0.04 0.0 0.0 0.0 0.0 0.08.86 2.78 2.37 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.08.62 5.07 0.91 0.79 0.0 0.08 0.98 0.80 1.495 0.060 0.0047.80 2.90 2.35 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07.46 4.12 -0.28 0.0 0.0 0.0 0.98 0.0 1.071 1.287 0.07.12 3.98 1.00 1.01 0.0 0.08 0.98 0.80 1.495 0.019 0.1186.40 3.15 -0.72 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.06.01 2.27 2.33 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.05.62 3.83 0.96 0.99 0.0 0.08 0.98 0.80 1.495 0.019 0.1075.30 4.37 2.01 0.23 0.0 0.02 0.98 0.0 1.213 1.053 0.1424.96 3.08 -0.73 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04.12 3.90 1.07 1.02 0.0 0.08 0.98 0.80 1.495 0.079 0.1243.90 2.95 -0.77 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.03.57 6.14 -0.27 2.00 0.0 0.04 0.0 0.0 0.0 0.0 0.03.42 1.47 0.98 0.0 0.0 0.0 0.98 0.0 1.732 0.0 0.02.62 4.01 0.94 0.94 0.0 0.08 0.98 0.80 1.495 0.040 0.0782.51 4.71 2.07 2.01 0.0 0.04 0.0 0.0 0.0 0.0 0.02.18 2.95 2.34 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.0Risulta 172.34


1 1.216 0.823 0.337 3.73 2.2 114.18 66.3 0.10 5.75e-02 0.0 0.02 1.541 0.649 0.427 129.42 75.1 1.65 1.0 0.02 8.93e-03 0.0 0.03 1.913 0.523 0.530 1.76 1.0 15.88 9.2 9.07e-03 5.26e-03 0.0 0.04 4.290 0.233 0.583 0.04 2.36e-02 4.30 2.5 6.02e-05 3.49e-05 0.0 0.05 4.910 0.204 0.583 25.79 15.0 0.03 1.66e-02 1.71e-03 9.94e-04 0.0 0.06 6.084 0.164 0.583 0.17 9.98e-02 8.53 4.9 0.02 1.03e-02 0.0 0.07 6.470 0.155 0.575 7.71e-03 4.47e-03 0.10 5.79e-02 9.54e-04 5.53e-04 0.0 0.08 6.667 0.150 0.565 1.63 0.9 7.93 4.6 0.02 1.29e-02 0.0 0.09 7.104 0.141 0.545 1.44 0.8 4.44 2.6 0.05 2.69e-02 0.0 0.0Risulta 163.99 157.04 0.21In percentuale 95.15 91.12 0.12

CDC Tipo Sigla Id Note6 Edk CDC=Ed (dinamico SLU) alfa=90.00 (ecc. +)

categoria suolo: Bfattore di sito S = 1.440ordinata spettro (tratto Tb-Tc) = 0.583 gangolo di ingresso:90.00eccentricità aggiuntiva: positivaperiodo proprio T1: 0.805 sec.fattore di struttura q: 1.000fattore per spost. mu d: 1.000classe di duttilità CD: Bnumero di modi considerati: 9combinaz. modale: CQC

Quota M Sismica x g Pos. GX Pos. GY E agg. X-X E agg. Y-Y Pos. KX Pos. KY rapp. r/Ls rapp. ex/rx rapp. ey/ry m kN m m m m m m21.95 3.05 -0.85 -1.13 0.03 0.0 0.0 0.0 0.0 0.0 0.021.93 9.47 1.46 0.92 0.10 0.0 0.98 0.80 1.495 0.441 0.06721.41 4.38 -0.76 0.0 0.06 0.0 0.0 0.0 0.0 0.0 0.0

_________________________________________________________________________________________________________________________

48

Quota M Sismica x g Pos. GX Pos. GY E agg. X-X E agg. Y-Y Pos. KX Pos. KY rapp. r/Ls rapp. ex/rx rapp. ey/ry20.62 19.32 0.76 0.86 0.10 0.0 0.98 0.80 1.495 0.200 0.03420.50 2.84 -0.77 1.59 0.06 0.0 0.0 0.0 0.0 0.0 0.020.17 6.19 -0.27 2.00 0.06 0.0 0.0 0.0 0.0 0.0 0.020.00 1.49 0.98 0.0 0.10 0.0 0.98 0.0 1.732 0.0 0.019.07 8.76 1.54 1.51 0.13 0.0 0.98 0.80 1.066 0.516 0.39318.75 3.01 2.34 1.59 0.04 0.0 0.0 0.0 0.0 0.0 0.017.62 8.14 1.44 0.52 0.14 0.0 0.98 0.80 1.184 0.421 0.14816.12 5.55 0.98 0.80 0.10 0.0 0.98 0.80 1.495 0.0 0.014.62 5.20 0.98 0.85 0.10 0.0 0.98 0.80 1.495 0.0 0.02913.95 1.47 0.98 0.0 0.10 0.0 0.98 0.0 1.732 0.0 0.013.12 4.42 0.98 1.00 0.10 0.0 0.98 0.80 1.495 0.0 0.11011.64 8.28 0.38 0.51 0.16 0.0 0.98 0.80 1.064 0.547 0.15410.58 3.12 -0.72 1.59 0.06 0.0 0.0 0.0 0.0 0.0 0.010.25 5.96 -0.28 2.01 0.06 0.0 0.0 0.0 0.0 0.0 0.010.12 5.15 1.01 0.73 0.10 0.0 0.98 0.80 1.495 0.030 0.0359.19 4.88 2.06 1.99 0.03 0.0 0.0 0.0 0.0 0.0 0.08.86 2.78 2.37 1.59 0.04 0.0 0.0 0.0 0.0 0.0 0.08.62 5.07 0.91 0.79 0.10 0.0 0.98 0.80 1.495 0.060 0.0047.80 2.90 2.35 0.0 0.04 0.0 0.0 0.0 0.0 0.0 0.07.46 4.12 -0.28 0.0 0.16 0.0 0.98 0.0 1.071 1.287 0.07.12 3.98 1.00 1.01 0.10 0.0 0.98 0.80 1.495 0.019 0.1186.40 3.15 -0.72 1.59 0.06 0.0 0.0 0.0 0.0 0.0 0.06.01 2.27 2.33 1.59 0.04 0.0 0.0 0.0 0.0 0.0 0.05.62 3.83 0.96 0.99 0.10 0.0 0.98 0.80 1.495 0.019 0.1075.30 4.37 2.01 0.23 0.14 0.0 0.98 0.0 1.213 1.053 0.1424.96 3.08 -0.73 0.0 0.06 0.0 0.0 0.0 0.0 0.0 0.04.12 3.90 1.07 1.02 0.10 0.0 0.98 0.80 1.495 0.079 0.1243.90 2.95 -0.77 1.59 0.06 0.0 0.0 0.0 0.0 0.0 0.03.57 6.14 -0.27 2.00 0.06 0.0 0.0 0.0 0.0 0.0 0.03.42 1.47 0.98 0.0 0.10 0.0 0.98 0.0 1.732 0.0 0.02.62 4.01 0.94 0.94 0.10 0.0 0.98 0.80 1.495 0.040 0.0782.51 4.71 2.07 2.01 0.03 0.0 0.0 0.0 0.0 0.0 0.02.18 2.95 2.34 1.59 0.04 0.0 0.0 0.0 0.0 0.0 0.0Risulta 172.34


1 1.242 0.805 0.344 3.07 1.8 116.85 67.8 0.11 6.13e-02 0.0 0.02 1.532 0.653 0.424 127.12 73.8 0.81 0.5 0.02 9.42e-03 0.0 0.03 1.887 0.530 0.523 4.83 2.8 13.58 7.9 2.50e-03 1.45e-03 0.0 0.04 4.383 0.228 0.583 0.38 0.2 2.91 1.7 6.82e-04 3.96e-04 0.0 0.05 4.940 0.202 0.583 25.45 14.8 0.34 0.2 1.77e-03 1.03e-03 0.0 0.06 6.011 0.166 0.583 0.66 0.4 7.14 4.1 0.02 8.87e-03 0.0 0.07 6.178 0.162 0.583 3.81e-03 2.21e-03 0.21 0.1 1.31e-03 7.60e-04 0.0 0.08 6.531 0.153 0.572 0.56 0.3 13.98 8.1 0.04 2.37e-02 0.0 0.09 7.518 0.133 0.528 2.09 1.2 0.96 0.6 0.03 1.61e-02 0.0 0.0Risulta 164.17 156.77 0.21In percentuale 95.26 90.96 0.12

CDC Tipo Sigla Id Note7 Edk CDC=Ed (dinamico SLU) alfa=90.00 (ecc. -)

categoria suolo: Bfattore di sito S = 1.440ordinata spettro (tratto Tb-Tc) = 0.583 gangolo di ingresso:90.00eccentricità aggiuntiva: negativaperiodo proprio T1: 0.838 sec.fattore di struttura q: 1.000fattore per spost. mu d: 1.000classe di duttilità CD: Bnumero di modi considerati: 9combinaz. modale: CQC

Quota M Sismica x g Pos. GX Pos. GY E agg. X-X E agg. Y-Y Pos. KX Pos. KY rapp. r/Ls rapp. ex/rx rapp. ey/ry m kN m m m m m m

_________________________________________________________________________________________________________________________

49

Quota M Sismica x g Pos. GX Pos. GY E agg. X-X E agg. Y-Y Pos. KX Pos. KY rapp. r/Ls rapp. ex/rx rapp. ey/ry21.95 3.05 -0.85 -1.13 -0.03 0.0 0.0 0.0 0.0 0.0 0.021.93 9.47 1.46 0.92 -0.10 0.0 0.98 0.80 1.495 0.441 0.06721.41 4.38 -0.76 0.0 -0.06 0.0 0.0 0.0 0.0 0.0 0.020.62 19.32 0.76 0.86 -0.10 0.0 0.98 0.80 1.495 0.200 0.03420.50 2.84 -0.77 1.59 -0.06 0.0 0.0 0.0 0.0 0.0 0.020.17 6.19 -0.27 2.00 -0.06 0.0 0.0 0.0 0.0 0.0 0.020.00 1.49 0.98 0.0 -0.10 0.0 0.98 0.0 1.732 0.0 0.019.07 8.76 1.54 1.51 -0.13 0.0 0.98 0.80 1.066 0.516 0.39318.75 3.01 2.34 1.59 -0.04 0.0 0.0 0.0 0.0 0.0 0.017.62 8.14 1.44 0.52 -0.14 0.0 0.98 0.80 1.184 0.421 0.14816.12 5.55 0.98 0.80 -0.10 0.0 0.98 0.80 1.495 0.0 0.014.62 5.20 0.98 0.85 -0.10 0.0 0.98 0.80 1.495 0.0 0.02913.95 1.47 0.98 0.0 -0.10 0.0 0.98 0.0 1.732 0.0 0.013.12 4.42 0.98 1.00 -0.10 0.0 0.98 0.80 1.495 0.0 0.11011.64 8.28 0.38 0.51 -0.16 0.0 0.98 0.80 1.064 0.547 0.15410.58 3.12 -0.72 1.59 -0.06 0.0 0.0 0.0 0.0 0.0 0.010.25 5.96 -0.28 2.01 -0.06 0.0 0.0 0.0 0.0 0.0 0.010.12 5.15 1.01 0.73 -0.10 0.0 0.98 0.80 1.495 0.030 0.0359.19 4.88 2.06 1.99 -0.03 0.0 0.0 0.0 0.0 0.0 0.08.86 2.78 2.37 1.59 -0.04 0.0 0.0 0.0 0.0 0.0 0.08.62 5.07 0.91 0.79 -0.10 0.0 0.98 0.80 1.495 0.060 0.0047.80 2.90 2.35 0.0 -0.04 0.0 0.0 0.0 0.0 0.0 0.07.46 4.12 -0.28 0.0 -0.16 0.0 0.98 0.0 1.071 1.287 0.07.12 3.98 1.00 1.01 -0.10 0.0 0.98 0.80 1.495 0.019 0.1186.40 3.15 -0.72 1.59 -0.06 0.0 0.0 0.0 0.0 0.0 0.06.01 2.27 2.33 1.59 -0.04 0.0 0.0 0.0 0.0 0.0 0.05.62 3.83 0.96 0.99 -0.10 0.0 0.98 0.80 1.495 0.019 0.1075.30 4.37 2.01 0.23 -0.14 0.0 0.98 0.0 1.213 1.053 0.1424.96 3.08 -0.73 0.0 -0.06 0.0 0.0 0.0 0.0 0.0 0.04.12 3.90 1.07 1.02 -0.10 0.0 0.98 0.80 1.495 0.079 0.1243.90 2.95 -0.77 1.59 -0.06 0.0 0.0 0.0 0.0 0.0 0.03.57 6.14 -0.27 2.00 -0.06 0.0 0.0 0.0 0.0 0.0 0.03.42 1.47 0.98 0.0 -0.10 0.0 0.98 0.0 1.732 0.0 0.02.62 4.01 0.94 0.94 -0.10 0.0 0.98 0.80 1.495 0.040 0.0782.51 4.71 2.07 2.01 -0.03 0.0 0.0 0.0 0.0 0.0 0.02.18 2.95 2.34 1.59 -0.04 0.0 0.0 0.0 0.0 0.0 0.0Risulta 172.34


1 1.194 0.838 0.331 1.72 1.0 114.60 66.5 0.09 5.26e-02 0.0 0.02 1.529 0.654 0.424 129.27 75.0 0.21 0.1 0.02 1.29e-02 0.0 0.03 1.968 0.508 0.545 4.02 2.3 17.39 10.1 0.01 6.16e-03 0.0 0.04 4.157 0.241 0.583 0.04 2.46e-02 5.11 3.0 5.62e-06 3.26e-06 0.0 0.05 4.914 0.203 0.583 25.21 14.6 0.32 0.2 2.19e-03 1.27e-03 0.0 0.06 5.874 0.170 0.583 0.78 0.5 5.16 3.0 7.95e-03 4.61e-03 0.0 0.07 6.177 0.162 0.583 1.68e-05 9.72e-06 0.04 2.05e-02 4.79e-04 2.78e-04 0.0 0.08 6.573 0.152 0.570 2.06 1.2 3.80 2.2 5.92e-03 3.44e-03 0.0 0.09 7.034 0.142 0.548 0.25 0.1 10.78 6.3 0.07 4.25e-02 0.0 0.0Risulta 163.36 157.40 0.21In percentuale 94.79 91.33 0.12

CDC Tipo Sigla Id Note8 Edk CDC=Ed (dinamico SLD) alfa=0.0 (ecc. +)

categoria suolo: Bfattore di sito S = 1.440ordinata spettro (tratto Tb-Tc) = 0.223 gangolo di ingresso:0.0eccentricità aggiuntiva: positivaperiodo proprio T1: 0.659 sec.numero di modi considerati: 9combinaz. modale: CQC


_________________________________________________________________________________________________________________________

50

Quota M Sismica x g Pos. GX Pos. GY E agg. X-X E agg. Y-Y Pos. KX Pos. KY rapp. r/Ls rapp. ex/rx rapp. ey/ry21.95 3.05 -0.85 -1.13 0.0 -0.03 0.0 0.0 0.0 0.0 0.021.93 9.47 1.46 0.92 0.0 -0.08 0.98 0.80 1.495 0.441 0.06721.41 4.38 -0.76 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020.62 19.32 0.76 0.86 0.0 -0.08 0.98 0.80 1.495 0.200 0.03420.50 2.84 -0.77 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.020.17 6.19 -0.27 2.00 0.0 -0.04 0.0 0.0 0.0 0.0 0.020.00 1.49 0.98 0.0 0.0 0.0 0.98 0.0 1.732 0.0 0.019.07 8.76 1.54 1.51 0.0 -0.12 0.98 0.80 1.066 0.516 0.39318.75 3.01 2.34 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.017.62 8.14 1.44 0.52 0.0 -0.08 0.98 0.80 1.184 0.421 0.14816.12 5.55 0.98 0.80 0.0 -0.08 0.98 0.80 1.495 0.0 0.014.62 5.20 0.98 0.85 0.0 -0.08 0.98 0.80 1.495 0.0 0.02913.95 1.47 0.98 0.0 0.0 0.0 0.98 0.0 1.732 0.0 0.013.12 4.42 0.98 1.00 0.0 -0.08 0.98 0.80 1.495 0.0 0.11011.64 8.28 0.38 0.51 0.0 -0.08 0.98 0.80 1.064 0.547 0.15410.58 3.12 -0.72 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.010.25 5.96 -0.28 2.01 0.0 -0.04 0.0 0.0 0.0 0.0 0.010.12 5.15 1.01 0.73 0.0 -0.08 0.98 0.80 1.495 0.030 0.0359.19 4.88 2.06 1.99 0.0 -0.04 0.0 0.0 0.0 0.0 0.08.86 2.78 2.37 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.08.62 5.07 0.91 0.79 0.0 -0.08 0.98 0.80 1.495 0.060 0.0047.80 2.90 2.35 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07.46 4.12 -0.28 0.0 0.0 0.0 0.98 0.0 1.071 1.287 0.07.12 3.98 1.00 1.01 0.0 -0.08 0.98 0.80 1.495 0.019 0.1186.40 3.15 -0.72 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.06.01 2.27 2.33 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.05.62 3.83 0.96 0.99 0.0 -0.08 0.98 0.80 1.495 0.019 0.1075.30 4.37 2.01 0.23 0.0 -0.02 0.98 0.0 1.213 1.053 0.1424.96 3.08 -0.73 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04.12 3.90 1.07 1.02 0.0 -0.08 0.98 0.80 1.495 0.079 0.1243.90 2.95 -0.77 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.03.57 6.14 -0.27 2.00 0.0 -0.04 0.0 0.0 0.0 0.0 0.03.42 1.47 0.98 0.0 0.0 0.0 0.98 0.0 1.732 0.0 0.02.62 4.01 0.94 0.94 0.0 -0.08 0.98 0.80 1.495 0.040 0.0782.51 4.71 2.07 2.01 0.0 -0.04 0.0 0.0 0.0 0.0 0.02.18 2.95 2.34 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.0Risulta 172.34


1 1.220 0.820 0.120 1.16 0.7 116.46 67.6 0.10 5.60e-02 0.0 0.02 1.517 0.659 0.149 126.16 73.2 4.49e-04 2.61e-04 0.02 1.37e-02 0.0 0.03 1.940 0.516 0.191 7.80 4.5 15.26 8.9 3.66e-03 2.12e-03 0.0 0.04 4.236 0.236 0.223 0.76 0.4 3.62 2.1 3.22e-04 1.87e-04 0.0 0.05 4.954 0.202 0.223 24.38 14.1 0.92 0.5 2.44e-03 1.42e-03 0.0 0.06 5.792 0.173 0.223 1.45 0.8 4.16 2.4 6.85e-03 3.97e-03 0.0 0.07 5.918 0.169 0.223 0.03 1.53e-02 0.14 8.29e-02 8.40e-04 4.88e-04 0.0 0.08 6.632 0.151 0.223 0.43 0.3 14.57 8.5 0.05 2.64e-02 0.0 0.09 7.239 0.138 0.215 1.30 0.8 2.03 1.2 0.03 1.85e-02 0.0 0.0Risulta 163.47 157.16 0.21In percentuale 94.85 91.19 0.12

CDC Tipo Sigla Id Note9 Edk CDC=Ed (dinamico SLD) alfa=0.0 (ecc. -)

categoria suolo: Bfattore di sito S = 1.440ordinata spettro (tratto Tb-Tc) = 0.223 gangolo di ingresso:0.0eccentricità aggiuntiva: negativaperiodo proprio T1: 0.649 sec.numero di modi considerati: 9combinaz. modale: CQC


_________________________________________________________________________________________________________________________

51

Quota M Sismica x g Pos. GX Pos. GY E agg. X-X E agg. Y-Y Pos. KX Pos. KY rapp. r/Ls rapp. ex/rx rapp. ey/ry21.95 3.05 -0.85 -1.13 0.0 0.03 0.0 0.0 0.0 0.0 0.021.93 9.47 1.46 0.92 0.0 0.08 0.98 0.80 1.495 0.441 0.06721.41 4.38 -0.76 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020.62 19.32 0.76 0.86 0.0 0.08 0.98 0.80 1.495 0.200 0.03420.50 2.84 -0.77 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.020.17 6.19 -0.27 2.00 0.0 0.04 0.0 0.0 0.0 0.0 0.020.00 1.49 0.98 0.0 0.0 0.0 0.98 0.0 1.732 0.0 0.019.07 8.76 1.54 1.51 0.0 0.12 0.98 0.80 1.066 0.516 0.39318.75 3.01 2.34 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.017.62 8.14 1.44 0.52 0.0 0.08 0.98 0.80 1.184 0.421 0.14816.12 5.55 0.98 0.80 0.0 0.08 0.98 0.80 1.495 0.0 0.014.62 5.20 0.98 0.85 0.0 0.08 0.98 0.80 1.495 0.0 0.02913.95 1.47 0.98 0.0 0.0 0.0 0.98 0.0 1.732 0.0 0.013.12 4.42 0.98 1.00 0.0 0.08 0.98 0.80 1.495 0.0 0.11011.64 8.28 0.38 0.51 0.0 0.08 0.98 0.80 1.064 0.547 0.15410.58 3.12 -0.72 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.010.25 5.96 -0.28 2.01 0.0 0.04 0.0 0.0 0.0 0.0 0.010.12 5.15 1.01 0.73 0.0 0.08 0.98 0.80 1.495 0.030 0.0359.19 4.88 2.06 1.99 0.0 0.04 0.0 0.0 0.0 0.0 0.08.86 2.78 2.37 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.08.62 5.07 0.91 0.79 0.0 0.08 0.98 0.80 1.495 0.060 0.0047.80 2.90 2.35 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07.46 4.12 -0.28 0.0 0.0 0.0 0.98 0.0 1.071 1.287 0.07.12 3.98 1.00 1.01 0.0 0.08 0.98 0.80 1.495 0.019 0.1186.40 3.15 -0.72 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.06.01 2.27 2.33 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.05.62 3.83 0.96 0.99 0.0 0.08 0.98 0.80 1.495 0.019 0.1075.30 4.37 2.01 0.23 0.0 0.02 0.98 0.0 1.213 1.053 0.1424.96 3.08 -0.73 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04.12 3.90 1.07 1.02 0.0 0.08 0.98 0.80 1.495 0.079 0.1243.90 2.95 -0.77 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.03.57 6.14 -0.27 2.00 0.0 0.04 0.0 0.0 0.0 0.0 0.03.42 1.47 0.98 0.0 0.0 0.0 0.98 0.0 1.732 0.0 0.02.62 4.01 0.94 0.94 0.0 0.08 0.98 0.80 1.495 0.040 0.0782.51 4.71 2.07 2.01 0.0 0.04 0.0 0.0 0.0 0.0 0.02.18 2.95 2.34 1.59 0.0 0.0 0.0 0.0 0.0 0.0 0.0Risulta 172.34


1 1.216 0.823 0.120 3.73 2.2 114.18 66.3 0.10 5.75e-02 0.0 0.02 1.541 0.649 0.152 129.42 75.1 1.65 1.0 0.02 8.93e-03 0.0 0.03 1.913 0.523 0.188 1.76 1.0 15.88 9.2 9.07e-03 5.26e-03 0.0 0.04 4.290 0.233 0.223 0.04 2.36e-02 4.30 2.5 6.02e-05 3.49e-05 0.0 0.05 4.910 0.204 0.223 25.79 15.0 0.03 1.66e-02 1.71e-03 9.94e-04 0.0 0.06 6.084 0.164 0.223 0.17 9.98e-02 8.53 4.9 0.02 1.03e-02 0.0 0.07 6.470 0.155 0.223 7.71e-03 4.47e-03 0.10 5.79e-02 9.54e-04 5.53e-04 0.0 0.08 6.667 0.150 0.223 1.63 0.9 7.93 4.6 0.02 1.29e-02 0.0 0.09 7.104 0.141 0.217 1.44 0.8 4.44 2.6 0.05 2.69e-02 0.0 0.0Risulta 163.99 157.04 0.21In percentuale 95.15 91.12 0.12

CDC Tipo Sigla Id Note10 Edk CDC=Ed (dinamico SLD) alfa=90.00 (ecc. +)

categoria suolo: Bfattore di sito S = 1.440ordinata spettro (tratto Tb-Tc) = 0.223 gangolo di ingresso:90.00eccentricità aggiuntiva: positivaperiodo proprio T1: 0.805 sec.numero di modi considerati: 9combinaz. modale: CQC


_________________________________________________________________________________________________________________________

52

Quota M Sismica x g Pos. GX Pos. GY E agg. X-X E agg. Y-Y Pos. KX Pos. KY rapp. r/Ls rapp. ex/rx rapp. ey/ry21.95 3.05 -0.85 -1.13 0.03 0.0 0.0 0.0 0.0 0.0 0.021.93 9.47 1.46 0.92 0.10 0.0 0.98 0.80 1.495 0.441 0.06721.41 4.38 -0.76 0.0 0.06 0.0 0.0 0.0 0.0 0.0 0.020.62 19.32 0.76 0.86 0.10 0.0 0.98 0.80 1.495 0.200 0.03420.50 2.84 -0.77 1.59 0.06 0.0 0.0 0.0 0.0 0.0 0.020.17 6.19 -0.27 2.00 0.06 0.0 0.0 0.0 0.0 0.0 0.020.00 1.49 0.98 0.0 0.10 0.0 0.98 0.0 1.732 0.0 0.019.07 8.76 1.54 1.51 0.13 0.0 0.98 0.80 1.066 0.516 0.39318.75 3.01 2.34 1.59 0.04 0.0 0.0 0.0 0.0 0.0 0.017.62 8.14 1.44 0.52 0.14 0.0 0.98 0.80 1.184 0.421 0.14816.12 5.55 0.98 0.80 0.10 0.0 0.98 0.80 1.495 0.0 0.014.62 5.20 0.98 0.85 0.10 0.0 0.98 0.80 1.495 0.0 0.02913.95 1.47 0.98 0.0 0.10 0.0 0.98 0.0 1.732 0.0 0.013.12 4.42 0.98 1.00 0.10 0.0 0.98 0.80 1.495 0.0 0.11011.64 8.28 0.38 0.51 0.16 0.0 0.98 0.80 1.064 0.547 0.15410.58 3.12 -0.72 1.59 0.06 0.0 0.0 0.0 0.0 0.0 0.010.25 5.96 -0.28 2.01 0.06 0.0 0.0 0.0 0.0 0.0 0.010.12 5.15 1.01 0.73 0.10 0.0 0.98 0.80 1.495 0.030 0.0359.19 4.88 2.06 1.99 0.03 0.0 0.0 0.0 0.0 0.0 0.08.86 2.78 2.37 1.59 0.04 0.0 0.0 0.0 0.0 0.0 0.08.62 5.07 0.91 0.79 0.10 0.0 0.98 0.80 1.495 0.060 0.0047.80 2.90 2.35 0.0 0.04 0.0 0.0 0.0 0.0 0.0 0.07.46 4.12 -0.28 0.0 0.16 0.0 0.98 0.0 1.071 1.287 0.07.12 3.98 1.00 1.01 0.10 0.0 0.98 0.80 1.495 0.019 0.1186.40 3.15 -0.72 1.59 0.06 0.0 0.0 0.0 0.0 0.0 0.06.01 2.27 2.33 1.59 0.04 0.0 0.0 0.0 0.0 0.0 0.05.62 3.83 0.96 0.99 0.10 0.0 0.98 0.80 1.495 0.019 0.1075.30 4.37 2.01 0.23 0.14 0.0 0.98 0.0 1.213 1.053 0.1424.96 3.08 -0.73 0.0 0.06 0.0 0.0 0.0 0.0 0.0 0.04.12 3.90 1.07 1.02 0.10 0.0 0.98 0.80 1.495 0.079 0.1243.90 2.95 -0.77 1.59 0.06 0.0 0.0 0.0 0.0 0.0 0.03.57 6.14 -0.27 2.00 0.06 0.0 0.0 0.0 0.0 0.0 0.03.42 1.47 0.98 0.0 0.10 0.0 0.98 0.0 1.732 0.0 0.02.62 4.01 0.94 0.94 0.10 0.0 0.98 0.80 1.495 0.040 0.0782.51 4.71 2.07 2.01 0.03 0.0 0.0 0.0 0.0 0.0 0.02.18 2.95 2.34 1.59 0.04 0.0 0.0 0.0 0.0 0.0 0.0Risulta 172.34


1 1.242 0.805 0.122 3.07 1.8 116.85 67.8 0.11 6.13e-02 0.0 0.02 1.532 0.653 0.151 127.12 73.8 0.81 0.5 0.02 9.42e-03 0.0 0.03 1.887 0.530 0.186 4.83 2.8 13.58 7.9 2.50e-03 1.45e-03 0.0 0.04 4.383 0.228 0.223 0.38 0.2 2.91 1.7 6.82e-04 3.96e-04 0.0 0.05 4.940 0.202 0.223 25.45 14.8 0.34 0.2 1.77e-03 1.03e-03 0.0 0.06 6.011 0.166 0.223 0.66 0.4 7.14 4.1 0.02 8.87e-03 0.0 0.07 6.178 0.162 0.223 3.81e-03 2.21e-03 0.21 0.1 1.31e-03 7.60e-04 0.0 0.08 6.531 0.153 0.223 0.56 0.3 13.98 8.1 0.04 2.37e-02 0.0 0.09 7.518 0.133 0.210 2.09 1.2 0.96 0.6 0.03 1.61e-02 0.0 0.0Risulta 164.17 156.77 0.21In percentuale 95.26 90.96 0.12

CDC Tipo Sigla Id Note11 Edk CDC=Ed (dinamico SLD) alfa=90.00 (ecc. -)

categoria suolo: Bfattore di sito S = 1.440ordinata spettro (tratto Tb-Tc) = 0.223 gangolo di ingresso:90.00eccentricità aggiuntiva: negativaperiodo proprio T1: 0.838 sec.numero di modi considerati: 9combinaz. modale: CQC


_________________________________________________________________________________________________________________________

53

Quota M Sismica x g Pos. GX Pos. GY E agg. X-X E agg. Y-Y Pos. KX Pos. KY rapp. r/Ls rapp. ex/rx rapp. ey/ry21.95 3.05 -0.85 -1.13 -0.03 0.0 0.0 0.0 0.0 0.0 0.021.93 9.47 1.46 0.92 -0.10 0.0 0.98 0.80 1.495 0.441 0.06721.41 4.38 -0.76 0.0 -0.06 0.0 0.0 0.0 0.0 0.0 0.020.62 19.32 0.76 0.86 -0.10 0.0 0.98 0.80 1.495 0.200 0.03420.50 2.84 -0.77 1.59 -0.06 0.0 0.0 0.0 0.0 0.0 0.020.17 6.19 -0.27 2.00 -0.06 0.0 0.0 0.0 0.0 0.0 0.020.00 1.49 0.98 0.0 -0.10 0.0 0.98 0.0 1.732 0.0 0.019.07 8.76 1.54 1.51 -0.13 0.0 0.98 0.80 1.066 0.516 0.39318.75 3.01 2.34 1.59 -0.04 0.0 0.0 0.0 0.0 0.0 0.017.62 8.14 1.44 0.52 -0.14 0.0 0.98 0.80 1.184 0.421 0.14816.12 5.55 0.98 0.80 -0.10 0.0 0.98 0.80 1.495 0.0 0.014.62 5.20 0.98 0.85 -0.10 0.0 0.98 0.80 1.495 0.0 0.02913.95 1.47 0.98 0.0 -0.10 0.0 0.98 0.0 1.732 0.0 0.013.12 4.42 0.98 1.00 -0.10 0.0 0.98 0.80 1.495 0.0 0.11011.64 8.28 0.38 0.51 -0.16 0.0 0.98 0.80 1.064 0.547 0.15410.58 3.12 -0.72 1.59 -0.06 0.0 0.0 0.0 0.0 0.0 0.010.25 5.96 -0.28 2.01 -0.06 0.0 0.0 0.0 0.0 0.0 0.010.12 5.15 1.01 0.73 -0.10 0.0 0.98 0.80 1.495 0.030 0.0359.19 4.88 2.06 1.99 -0.03 0.0 0.0 0.0 0.0 0.0 0.08.86 2.78 2.37 1.59 -0.04 0.0 0.0 0.0 0.0 0.0 0.08.62 5.07 0.91 0.79 -0.10 0.0 0.98 0.80 1.495 0.060 0.0047.80 2.90 2.35 0.0 -0.04 0.0 0.0 0.0 0.0 0.0 0.07.46 4.12 -0.28 0.0 -0.16 0.0 0.98 0.0 1.071 1.287 0.07.12 3.98 1.00 1.01 -0.10 0.0 0.98 0.80 1.495 0.019 0.1186.40 3.15 -0.72 1.59 -0.06 0.0 0.0 0.0 0.0 0.0 0.06.01 2.27 2.33 1.59 -0.04 0.0 0.0 0.0 0.0 0.0 0.05.62 3.83 0.96 0.99 -0.10 0.0 0.98 0.80 1.495 0.019 0.1075.30 4.37 2.01 0.23 -0.14 0.0 0.98 0.0 1.213 1.053 0.1424.96 3.08 -0.73 0.0 -0.06 0.0 0.0 0.0 0.0 0.0 0.04.12 3.90 1.07 1.02 -0.10 0.0 0.98 0.80 1.495 0.079 0.1243.90 2.95 -0.77 1.59 -0.06 0.0 0.0 0.0 0.0 0.0 0.03.57 6.14 -0.27 2.00 -0.06 0.0 0.0 0.0 0.0 0.0 0.03.42 1.47 0.98 0.0 -0.10 0.0 0.98 0.0 1.732 0.0 0.02.62 4.01 0.94 0.94 -0.10 0.0 0.98 0.80 1.495 0.040 0.0782.51 4.71 2.07 2.01 -0.03 0.0 0.0 0.0 0.0 0.0 0.02.18 2.95 2.34 1.59 -0.04 0.0 0.0 0.0 0.0 0.0 0.0Risulta 172.34


1 1.194 0.838 0.118 1.72 1.0 114.60 66.5 0.09 5.26e-02 0.0 0.02 1.529 0.654 0.151 129.27 75.0 0.21 0.1 0.02 1.29e-02 0.0 0.03 1.968 0.508 0.194 4.02 2.3 17.39 10.1 0.01 6.16e-03 0.0 0.04 4.157 0.241 0.223 0.04 2.46e-02 5.11 3.0 5.62e-06 3.26e-06 0.0 0.05 4.914 0.203 0.223 25.21 14.6 0.32 0.2 2.19e-03 1.27e-03 0.0 0.06 5.874 0.170 0.223 0.78 0.5 5.16 3.0 7.95e-03 4.61e-03 0.0 0.07 6.177 0.162 0.223 1.68e-05 9.72e-06 0.04 2.05e-02 4.79e-04 2.78e-04 0.0 0.08 6.573 0.152 0.223 2.06 1.2 3.80 2.2 5.92e-03 3.44e-03 0.0 0.09 7.034 0.142 0.218 0.25 0.1 10.78 6.3 0.07 4.25e-02 0.0 0.0Risulta 163.36 157.40 0.21In percentuale 94.79 91.33 0.12

Cmb Pilas. 1000 etaT/h etaT inter. h Pilas. 1000 etaT/h etaT inter. h Pilas. 1000 etaT/h etaTinter. h

mm cm mm cm mm cm66 10 0.35 0.07 21.2 11 0.36 0.08 21.2 12 1.17 0.2521.2

19 1.16 0.25 21.2 20 0.33 0.07 21.2 26 0.40 0.2152.333 1.44 2.14 148.2 34 0.96 1.02 106.0 35 0.54 0.5093.136 0.77 1.16 150.0 37 0.35 0.07 21.2 38 0.33 0.0721.239 0.33 0.07 21.2 40 0.27 0.09 32.0 41 1.13 0.9080.042 1.14 1.71 150.0 43 0.63 0.22 34.0 46 1.18 0.9580.053 0.34 0.07 21.2 54 0.64 0.14 22.2 63 0.24 0.0834.072 0.26 0.08 32.0 86 0.75 0.26 34.2 98 0.32 0.0721.299 0.36 0.08 21.2 100 0.36 0.08 21.2 104 0.68 0.72

106.0105 0.23 0.08 32.9 107 0.64 0.21 32.9 111 1.17 1.75

150.0112 0.44 0.05 12.2 119 1.26 1.04 83.0 120 1.07 1.60

150.0121 1.09 1.64 150.0 122 1.25 1.04 83.0 123 0.66 0.99

150.0124 0.89 1.33 150.0 126 0.31 0.25 82.0 128 0.88 0.6270.0_________________________________________________________________________________________________________________________

54

129 1.11 0.78 70.0 130 0.68 1.02 150.0 131 1.34 2.01150.0

132 0.76 0.84 110.7 133 0.51 0.37 72.0 139 0.91 1.36150.0

140 0.51 0.74 144.9 141 0.83 0.27 32.9 142 0.62 0.2032.9143 0.16 0.05 32.9 145 0.61 0.58 94.9 146 0.48 0.3062.0152 0.33 0.07 21.2 176 0.33 0.07 21.2 177 0.33 0.0721.2178 0.31 0.07 21.2 179 0.31 0.06 21.2 181 0.33 0.0721.2186 0.34 0.07 21.2 188 0.82 0.96 118.0 189 1.23 1.84

150.0190 1.20 1.80 150.0 191 0.94 0.79 83.8 193 0.95 0.3032.0195 0.25 0.10 39.3 196 1.17 1.76 150.0 197 0.63 0.4978.0199 1.04 1.55 150.0 200 0.27 0.31 116.0 201 1.05 1.57

150.0202 0.79 0.27 34.0 203 0.32 0.07 21.2 207 0.50 0.75

150.0209 0.33 0.50 150.0 210 0.76 1.15 150.0 212 0.07 0.0224.0213 0.32 0.07 21.2 217 0.33 0.07 21.2 218 0.94 1.43

151.8219 0.84 1.28 151.8 220 0.63 0.08 12.9 221 0.92 1.39

151.8225 0.34 0.07 21.2 226 1.11 1.64 148.2 227 1.48 2.20

148.2228 1.13 1.68 148.2 238 0.32 0.07 21.2 243 0.67 1.00

150.0246 0.38 0.04 11.1 247 0.75 1.09 144.9 248 0.37 0.54

144.9249 0.51 0.58 112.9 252 0.90 1.36 150.0 253 0.93 1.39

150.0254 1.00 1.49 150.0 255 0.98 1.46 150.0 257 0.64 0.4367.0258 0.68 0.45 67.0 259 0.89 0.83 93.1 260 0.39 0.61

155.1261 0.59 0.55 93.1 262 0.46 0.51 110.0 263 0.41 0.2562.0265 0.46 0.60 131.0 266 0.49 0.38 78.7 267 0.43 0.56

131.0268 0.42 0.55 131.0

67 10 0.63 0.13 21.2 11 0.59 0.12 21.2 12 0.68 0.1421.219 0.67 0.14 21.2 20 0.64 0.14 21.2 26 0.81 0.4252.333 1.71 2.53 148.2 34 1.04 1.10 106.0 35 0.65 0.6093.136 0.95 1.43 150.0 37 0.66 0.14 21.2 38 0.61 0.1321.239 0.65 0.14 21.2 40 0.60 0.19 32.0 41 1.43 1.1480.042 1.28 1.92 150.0 43 0.97 0.33 34.0 46 1.31 1.0580.053 0.62 0.13 21.2 54 0.92 0.20 22.2 63 0.51 0.1734.072 0.40 0.13 32.0 86 1.17 0.40 34.2 98 0.57 0.1221.299 0.67 0.14 21.2 100 0.59 0.13 21.2 104 0.55 0.58

106.0105 0.59 0.19 32.9 107 1.02 0.34 32.9 111 1.42 2.12

150.0112 0.84 0.10 12.2 119 1.42 1.18 83.0 120 1.07 1.61

150.0121 0.92 1.38 150.0 122 1.35 1.12 83.0 123 0.91 1.36

150.0124 0.90 1.35 150.0 126 0.48 0.40 82.0 128 1.15 0.8070.0129 1.36 0.95 70.0 130 0.53 0.80 150.0 131 1.54 2.30

150.0132 0.64 0.71 110.7 133 0.69 0.49 72.0 139 0.77 1.15

150.0140 0.74 1.08 144.9 141 1.12 0.37 32.9 142 0.97 0.3232.9143 0.46 0.15 32.9 145 0.90 0.86 94.9 146 0.87 0.5462.0152 0.64 0.14 21.2 176 0.66 0.14 21.2 177 0.66 0.1421.2178 0.57 0.12 21.2 179 0.58 0.12 21.2 181 0.65 0.1421.2186 0.66 0.14 21.2 188 0.89 1.05 118.0 189 1.00 1.50

150.0190 1.13 1.70 150.0 191 1.32 1.11 83.8 193 1.19 0.3832.0195 0.37 0.15 39.3 196 1.35 2.03 150.0 197 0.73 0.5778.0199 0.97 1.46 150.0 200 0.62 0.72 116.0 201 0.87 1.31

150.0202 0.82 0.28 34.0 203 0.59 0.12 21.2 207 0.67 1.00

150.0209 0.73 1.09 150.0 210 1.05 1.58 150.0 212 0.51 0.1224.0213 0.60 0.13 21.2 217 0.65 0.14 21.2 218 1.05 1.59

151.8219 0.78 1.18 151.8 220 1.01 0.13 12.9 221 1.23 1.87

151.8225 0.66 0.14 21.2 226 1.12 1.65 148.2 227 1.59 2.36

148.2228 0.96 1.43 148.2 238 0.61 0.13 21.2 243 0.77 1.15

150.0246 0.60 0.07 11.1 247 1.05 1.52 144.9 248 0.68 0.98

144.9249 0.55 0.62 112.9 252 1.12 1.67 150.0 253 0.99 1.49

150.0254 0.83 1.25 150.0 255 0.98 1.48 150.0 257 0.89 0.5967.0258 0.70 0.47 67.0 259 1.08 1.00 93.1 260 0.59 0.91

155.1261 0.98 0.92 93.1 262 0.85 0.93 110.0 263 0.62 0.3862.0265 0.80 1.05 131.0 266 0.88 0.69 78.7 267 0.59 0.77

131.0

_________________________________________________________________________________________________________________________

55

268 0.65 0.85 131.068 10 0.61 0.13 21.2 11 0.62 0.13 21.2 12 1.47 0.3121.2

19 1.46 0.31 21.2 20 0.60 0.13 21.2 26 0.28 0.1452.333 1.45 2.14 148.2 34 0.75 0.79 106.0 35 0.88 0.8293.136 1.23 1.84 150.0 37 0.60 0.13 21.2 38 0.60 0.1321.239 0.59 0.13 21.2 40 0.69 0.22 32.0 41 1.52 1.2180.042 1.50 2.26 150.0 43 0.46 0.15 34.0 46 1.41 1.1380.053 0.60 0.13 21.2 54 0.34 0.07 22.2 63 1.06 0.3634.072 1.12 0.36 32.0 86 0.22 0.08 34.2 98 0.61 0.1321.299 0.62 0.13 21.2 100 0.64 0.14 21.2 104 1.15 1.22

106.0105 0.87 0.29 32.9 107 0.34 0.11 32.9 111 1.46 2.18

150.0112 0.32 0.04 12.2 119 1.69 1.40 83.0 120 1.15 1.72

150.0121 1.21 1.81 150.0 122 1.39 1.16 83.0 123 1.21 1.81

150.0124 1.10 1.65 150.0 126 0.91 0.75 82.0 128 1.43 1.0070.0129 0.94 0.66 70.0 130 0.75 1.13 150.0 131 1.53 2.30

150.0132 0.75 0.83 110.7 133 0.55 0.40 72.0 139 1.15 1.73

150.0140 1.34 1.94 144.9 141 0.45 0.15 32.9 142 0.38 0.1332.9143 0.80 0.26 32.9 145 0.87 0.82 94.9 146 0.71 0.4462.0152 0.60 0.13 21.2 176 0.59 0.12 21.2 177 0.57 0.1221.2178 0.60 0.13 21.2 179 0.58 0.12 21.2 181 0.59 0.1221.2186 0.59 0.12 21.2 188 1.03 1.22 118.0 189 1.33 1.99

150.0190 1.28 1.92 150.0 191 0.80 0.67 83.8 193 0.95 0.3132.0195 0.72 0.28 39.3 196 1.68 2.52 150.0 197 0.68 0.5378.0199 1.18 1.77 150.0 200 0.90 1.04 116.0 201 1.22 1.83

150.0202 1.25 0.43 34.0 203 0.60 0.13 21.2 207 1.06 1.59

150.0209 0.80 1.20 150.0 210 1.19 1.78 150.0 212 0.80 0.1924.0213 0.59 0.13 21.2 217 0.59 0.13 21.2 218 1.06 1.60

151.8219 0.72 1.09 151.8 220 0.54 0.07 12.9 221 0.98 1.49

151.8225 0.60 0.13 21.2 226 1.16 1.71 148.2 227 1.68 2.49

148.2228 1.21 1.79 148.2 238 0.59 0.13 21.2 243 1.26 1.89

150.0246 0.77 0.09 11.1 247 1.28 1.86 144.9 248 0.93 1.35

144.9249 1.06 1.20 112.9 252 1.22 1.83 150.0 253 1.27 1.91

150.0254 1.16 1.73 150.0 255 1.10 1.65 150.0 257 0.93 0.6267.0258 0.99 0.66 67.0 259 1.12 1.04 93.1 260 0.62 0.96

155.1261 1.12 1.05 93.1 262 0.72 0.79 110.0 263 0.72 0.4562.0265 0.56 0.74 131.0 266 0.31 0.24 78.7 267 0.60 0.79

131.0268 0.34 0.45 131.0

69 10 0.94 0.20 21.2 11 0.91 0.19 21.2 12 1.94 0.4121.219 1.95 0.41 21.2 20 0.95 0.20 21.2 26 0.80 0.4252.333 1.61 2.38 148.2 34 1.27 1.34 106.0 35 1.26 1.1893.136 1.41 2.12 150.0 37 0.93 0.20 21.2 38 0.92 0.1921.239 0.94 0.20 21.2 40 0.96 0.31 32.0 41 1.68 1.3580.042 1.40 2.10 150.0 43 0.96 0.33 34.0 46 1.54 1.2380.053 0.91 0.19 21.2 54 0.93 0.21 22.2 63 1.60 0.5534.072 1.63 0.52 32.0 86 1.02 0.35 34.2 98 0.93 0.2021.299 0.96 0.20 21.2 100 0.93 0.20 21.2 104 1.31 1.38

106.0105 1.13 0.37 32.9 107 0.85 0.28 32.9 111 1.59 2.39

150.0112 0.79 0.10 12.2 119 1.92 1.60 83.0 120 1.65 2.48

150.0121 1.71 2.56 150.0 122 1.63 1.35 83.0 123 1.50 2.25

150.0124 1.61 2.41 150.0 126 1.28 1.05 82.0 128 1.70 1.1970.0129 1.21 0.85 70.0 130 1.24 1.85 150.0 131 1.68 2.53

150.0132 1.33 1.48 110.7 133 1.15 0.83 72.0 139 1.66 2.49

150.0140 1.48 2.14 144.9 141 0.96 0.32 32.9 142 0.79 0.2632.9143 1.05 0.35 32.9 145 1.32 1.26 94.9 146 1.05 0.6562.0152 0.96 0.20 21.2 176 0.73 0.15 21.2 177 0.89 0.1921.2178 0.76 0.16 21.2 179 0.92 0.19 21.2 181 0.93 0.2021.2186 0.91 0.19 21.2 188 1.40 1.66 118.0 189 1.86 2.78

150.0190 1.79 2.69 150.0 191 1.10 0.93 83.8 193 1.27 0.4132.0195 1.23 0.48 39.3 196 1.88 2.81 150.0 197 1.27 0.9978.0199 1.73 2.59 150.0 200 1.40 1.62 116.0 201 1.72 2.57

150.0202 1.58 0.54 34.0 203 0.93 0.20 21.2 207 1.47 2.21

150.0209 1.28 1.92 150.0 210 1.48 2.21 150.0 212 1.13 0.2724.0_________________________________________________________________________________________________________________________

56

213 0.92 0.19 21.2 217 0.93 0.20 21.2 218 1.38 2.09151.8

219 1.26 1.92 151.8 220 0.92 0.12 12.9 221 1.25 1.90151.8

225 0.92 0.19 21.2 226 1.64 2.44 148.2 227 1.86 2.76148.2

228 1.70 2.52 148.2 238 0.92 0.20 21.2 243 1.55 2.33150.0

246 1.01 0.11 11.1 247 1.49 2.16 144.9 248 1.39 2.02144.9

249 1.46 1.65 112.9 252 1.52 2.27 150.0 253 1.58 2.37150.0

254 1.67 2.51 150.0 255 1.61 2.42 150.0 257 1.34 0.9067.0258 1.40 0.94 67.0 259 1.30 1.21 93.1 260 1.01 1.56

155.1261 1.33 1.24 93.1 262 1.12 1.23 110.0 263 1.05 0.6562.0265 0.97 1.27 131.0 266 0.81 0.64 78.7 267 0.99 1.29

131.0268 0.82 1.07 131.0

70 10 0.35 0.07 21.2 11 0.35 0.07 21.2 12 1.15 0.2421.219 1.15 0.24 21.2 20 0.33 0.07 21.2 26 0.39 0.2052.333 1.42 2.10 148.2 34 0.96 1.02 106.0 35 0.53 0.5093.136 0.76 1.15 150.0 37 0.34 0.07 21.2 38 0.33 0.0721.239 0.33 0.07 21.2 40 0.28 0.09 32.0 41 1.11 0.8980.042 1.12 1.68 150.0 43 0.62 0.21 34.0 46 1.16 0.9280.053 0.33 0.07 21.2 54 0.64 0.14 22.2 63 0.22 0.0734.072 0.24 0.08 32.0 86 0.75 0.26 34.2 98 0.32 0.0721.299 0.35 0.07 21.2 100 0.36 0.08 21.2 104 0.67 0.71

106.0105 0.24 0.08 32.9 107 0.64 0.21 32.9 111 1.14 1.72

150.0112 0.44 0.05 12.2 119 1.25 1.04 83.0 120 1.07 1.60

150.0121 1.09 1.63 150.0 122 1.23 1.02 83.0 123 0.67 1.00

150.0124 0.89 1.34 150.0 126 0.30 0.24 82.0 128 0.86 0.6070.0129 1.09 0.76 70.0 130 0.67 1.00 150.0 131 1.31 1.96

150.0132 0.75 0.84 110.7 133 0.51 0.37 72.0 139 0.90 1.36

150.0140 0.51 0.75 144.9 141 0.83 0.27 32.9 142 0.63 0.2132.9143 0.17 0.06 32.9 145 0.61 0.58 94.9 146 0.50 0.3162.0152 0.33 0.07 21.2 176 0.34 0.07 21.2 177 0.32 0.0721.2178 0.31 0.07 21.2 179 0.30 0.06 21.2 181 0.33 0.0721.2186 0.33 0.07 21.2 188 0.79 0.93 118.0 189 1.22 1.83

150.0190 1.20 1.80 150.0 191 0.92 0.77 83.8 193 0.93 0.3032.0195 0.23 0.09 39.3 196 1.14 1.71 150.0 197 0.64 0.5078.0199 1.04 1.56 150.0 200 0.27 0.31 116.0 201 1.05 1.57

150.0202 0.77 0.26 34.0 203 0.32 0.07 21.2 207 0.50 0.74

150.0209 0.33 0.49 150.0 210 0.75 1.13 150.0 212 0.07 0.0224.0213 0.32 0.07 21.2 217 0.33 0.07 21.2 218 0.92 1.40

151.8219 0.84 1.27 151.8 220 0.63 0.08 12.9 221 0.90 1.37

151.8225 0.34 0.07 21.2 226 1.11 1.64 148.2 227 1.46 2.16

148.2228 1.13 1.67 148.2 238 0.32 0.07 21.2 243 0.67 1.01

150.0246 0.38 0.04 11.1 247 0.74 1.08 144.9 248 0.37 0.54

144.9249 0.51 0.58 112.9 252 0.91 1.36 150.0 253 0.93 1.39

150.0254 0.99 1.49 150.0 255 0.98 1.47 150.0 257 0.65 0.4367.0258 0.68 0.45 67.0 259 0.87 0.81 93.1 260 0.39 0.60

155.1261 0.59 0.55 93.1 262 0.46 0.50 110.0 263 0.42 0.2662.0265 0.46 0.60 131.0 266 0.47 0.37 78.7 267 0.43 0.56

131.0268 0.40 0.52 131.0

71 10 0.63 0.13 21.2 11 0.59 0.12 21.2 12 0.69 0.1521.219 0.68 0.14 21.2 20 0.64 0.13 21.2 26 0.81 0.4252.333 1.73 2.56 148.2 34 1.04 1.10 106.0 35 0.64 0.5993.136 0.95 1.43 150.0 37 0.66 0.14 21.2 38 0.60 0.1321.239 0.64 0.14 21.2 40 0.59 0.19 32.0 41 1.45 1.1680.042 1.30 1.95 150.0 43 0.98 0.33 34.0 46 1.34 1.0880.053 0.61 0.13 21.2 54 0.92 0.20 22.2 63 0.49 0.1734.072 0.37 0.12 32.0 86 1.18 0.40 34.2 98 0.56 0.1221.299 0.66 0.14 21.2 100 0.58 0.12 21.2 104 0.55 0.58

106.0105 0.58 0.19 32.9 107 1.02 0.33 32.9 111 1.44 2.16

150.0112 0.83 0.10 12.2 119 1.42 1.18 83.0 120 1.07 1.60

150.0121 0.91 1.36 150.0 122 1.35 1.12 83.0 123 0.90 1.35

150.0

_________________________________________________________________________________________________________________________

57

124 0.90 1.35 150.0 126 0.47 0.38 82.0 128 1.16 0.8170.0129 1.37 0.96 70.0 130 0.53 0.80 150.0 131 1.56 2.34

150.0132 0.63 0.70 110.7 133 0.69 0.49 72.0 139 0.76 1.13

150.0140 0.73 1.06 144.9 141 1.12 0.37 32.9 142 0.96 0.3232.9143 0.45 0.15 32.9 145 0.91 0.86 94.9 146 0.86 0.5362.0152 0.63 0.13 21.2 176 0.65 0.14 21.2 177 0.65 0.1421.2178 0.57 0.12 21.2 179 0.57 0.12 21.2 181 0.65 0.1421.2186 0.66 0.14 21.2 188 0.90 1.06 118.0 189 0.99 1.49

150.0190 1.14 1.70 150.0 191 1.34 1.12 83.8 193 1.20 0.3932.0195 0.35 0.14 39.3 196 1.38 2.07 150.0 197 0.74 0.5778.0199 0.97 1.46 150.0 200 0.63 0.73 116.0 201 0.86 1.29

150.0202 0.82 0.28 34.0 203 0.58 0.12 21.2 207 0.67 1.01

150.0209 0.73 1.10 150.0 210 1.06 1.59 150.0 212 0.49 0.1224.0213 0.59 0.13 21.2 217 0.64 0.14 21.2 218 1.05 1.60

151.8219 0.76 1.16 151.8 220 1.01 0.13 12.9 221 1.24 1.88

151.8225 0.66 0.14 21.2 226 1.11 1.65 148.2 227 1.60 2.38

148.2228 0.95 1.41 148.2 238 0.60 0.13 21.2 243 0.75 1.12

150.0246 0.60 0.07 11.1 247 1.06 1.53 144.9 248 0.68 0.98

144.9249 0.54 0.60 112.9 252 1.11 1.67 150.0 253 0.98 1.47

150.0254 0.82 1.23 150.0 255 0.98 1.47 150.0 257 0.88 0.5967.0258 0.68 0.45 67.0 259 1.08 1.01 93.1 260 0.58 0.90

155.1261 0.98 0.91 93.1 262 0.84 0.93 110.0 263 0.60 0.3762.0265 0.79 1.04 131.0 266 0.88 0.70 78.7 267 0.58 0.76

131.0268 0.65 0.86 131.0

72 10 0.62 0.13 21.2 11 0.62 0.13 21.2 12 1.48 0.3121.219 1.47 0.31 21.2 20 0.60 0.13 21.2 26 0.27 0.1452.333 1.47 2.18 148.2 34 0.75 0.79 106.0 35 0.90 0.8493.136 1.24 1.86 150.0 37 0.61 0.13 21.2 38 0.60 0.1321.239 0.60 0.13 21.2 40 0.70 0.22 32.0 41 1.54 1.2380.042 1.53 2.29 150.0 43 0.47 0.16 34.0 46 1.44 1.1580.053 0.61 0.13 21.2 54 0.34 0.08 22.2 63 1.07 0.3634.072 1.14 0.37 32.0 86 0.22 0.07 34.2 98 0.62 0.1321.299 0.62 0.13 21.2 100 0.65 0.14 21.2 104 1.15 1.22

106.0105 0.87 0.29 32.9 107 0.34 0.11 32.9 111 1.48 2.22

150.0112 0.33 0.04 12.2 119 1.69 1.40 83.0 120 1.15 1.72

150.0121 1.21 1.82 150.0 122 1.41 1.17 83.0 123 1.20 1.80

150.0124 1.10 1.65 150.0 126 0.92 0.76 82.0 128 1.45 1.0170.0129 0.96 0.67 70.0 130 0.77 1.15 150.0 131 1.57 2.35

150.0132 0.76 0.84 110.7 133 0.55 0.39 72.0 139 1.16 1.74

150.0140 1.34 1.94 144.9 141 0.45 0.15 32.9 142 0.39 0.1332.9143 0.80 0.26 32.9 145 0.87 0.83 94.9 146 0.70 0.4362.0152 0.60 0.13 21.2 176 0.59 0.12 21.2 177 0.58 0.1221.2178 0.60 0.13 21.2 179 0.59 0.13 21.2 181 0.59 0.1321.2186 0.59 0.13 21.2 188 1.06 1.26 118.0 189 1.34 2.01

150.0190 1.28 1.92 150.0 191 0.82 0.69 83.8 193 0.97 0.3132.0195 0.74 0.29 39.3 196 1.71 2.56 150.0 197 0.68 0.5378.0199 1.18 1.77 150.0 200 0.90 1.04 116.0 201 1.23 1.84

150.0202 1.27 0.43 34.0 203 0.60 0.13 21.2 207 1.06 1.59

150.0209 0.80 1.20 150.0 210 1.20 1.79 150.0 212 0.81 0.1924.0213 0.60 0.13 21.2 217 0.60 0.13 21.2 218 1.08 1.64

151.8219 0.73 1.11 151.8 220 0.54 0.07 12.9 221 0.99 1.51

151.8225 0.60 0.13 21.2 226 1.16 1.71 148.2 227 1.71 2.53

148.2228 1.22 1.81 148.2 238 0.60 0.13 21.2 243 1.25 1.88

150.0246 0.78 0.09 11.1 247 1.29 1.87 144.9 248 0.93 1.35

144.9249 1.07 1.21 112.9 252 1.22 1.83 150.0 253 1.28 1.92

150.0254 1.16 1.74 150.0 255 1.10 1.65 150.0 257 0.92 0.6267.0258 0.99 0.66 67.0 259 1.14 1.06 93.1 260 0.63 0.98

155.1261 1.12 1.05 93.1 262 0.73 0.80 110.0 263 0.72 0.4562.0265 0.57 0.75 131.0 266 0.33 0.26 78.7 267 0.61 0.80

_________________________________________________________________________________________________________________________

58

131.0268 0.36 0.48 131.0

73 10 0.93 0.20 21.2 11 0.90 0.19 21.2 12 1.93 0.4121.219 1.94 0.41 21.2 20 0.94 0.20 21.2 26 0.80 0.4252.333 1.59 2.35 148.2 34 1.27 1.34 106.0 35 1.25 1.1693.136 1.39 2.09 150.0 37 0.92 0.19 21.2 38 0.91 0.1921.239 0.93 0.20 21.2 40 0.95 0.30 32.0 41 1.66 1.3380.042 1.38 2.06 150.0 43 0.96 0.33 34.0 46 1.50 1.2080.053 0.90 0.19 21.2 54 0.93 0.21 22.2 63 1.59 0.5434.072 1.61 0.51 32.0 86 1.02 0.35 34.2 98 0.92 0.1921.299 0.95 0.20 21.2 100 0.92 0.20 21.2 104 1.30 1.38

106.0105 1.13 0.37 32.9 107 0.85 0.28 32.9 111 1.57 2.36

150.0112 0.79 0.10 12.2 119 1.92 1.59 83.0 120 1.65 2.48

150.0121 1.70 2.54 150.0 122 1.60 1.33 83.0 123 1.51 2.26

150.0124 1.61 2.41 150.0 126 1.27 1.04 82.0 128 1.68 1.1870.0129 1.19 0.83 70.0 130 1.21 1.82 150.0 131 1.65 2.47

150.0132 1.31 1.46 110.7 133 1.16 0.83 72.0 139 1.65 2.47

150.0140 1.47 2.13 144.9 141 0.96 0.32 32.9 142 0.79 0.2632.9143 1.05 0.34 32.9 145 1.32 1.25 94.9 146 1.06 0.6662.0152 0.95 0.20 21.2 176 0.67 0.14 21.2 177 0.88 0.1921.2178 0.70 0.15 21.2 179 0.91 0.19 21.2 181 0.92 0.1921.2186 0.90 0.19 21.2 188 1.37 1.62 118.0 189 1.84 2.76

150.0190 1.80 2.69 150.0 191 1.09 0.92 83.8 193 1.26 0.4032.0195 1.21 0.48 39.3 196 1.85 2.78 150.0 197 1.27 0.9978.0199 1.73 2.59 150.0 200 1.40 1.62 116.0 201 1.71 2.56

150.0202 1.56 0.53 34.0 203 0.93 0.20 21.2 207 1.47 2.21

150.0209 1.28 1.92 150.0 210 1.47 2.20 150.0 212 1.13 0.2724.0213 0.91 0.19 21.2 217 0.92 0.20 21.2 218 1.35 2.05

151.8219 1.25 1.89 151.8 220 0.92 0.12 12.9 221 1.24 1.88

151.8225 0.91 0.19 21.2 226 1.64 2.44 148.2 227 1.83 2.71

148.2228 1.69 2.50 148.2 238 0.92 0.19 21.2 243 1.55 2.33

150.0246 1.00 0.11 11.1 247 1.48 2.14 144.9 248 1.39 2.02

144.9249 1.45 1.64 112.9 252 1.52 2.28 150.0 253 1.57 2.35

150.0254 1.66 2.49 150.0 255 1.61 2.42 150.0 257 1.34 0.9067.0258 1.39 0.93 67.0 259 1.28 1.19 93.1 260 0.99 1.54

155.1261 1.33 1.24 93.1 262 1.11 1.22 110.0 263 1.05 0.6562.0265 0.96 1.26 131.0 266 0.81 0.63 78.7 267 0.97 1.27

131.0268 0.80 1.05 131.0

74 10 0.35 0.07 21.2 11 1.48 0.31 21.2 12 0.34 0.0721.219 0.32 0.07 21.2 20 0.33 0.07 21.2 26 0.42 0.2252.333 1.40 2.08 148.2 34 1.04 1.10 106.0 35 0.57 0.5393.136 0.75 1.13 150.0 37 0.34 0.07 21.2 38 1.47 0.3121.239 0.32 0.07 21.2 40 0.25 0.08 32.0 41 1.08 0.8780.042 1.11 1.66 150.0 43 0.66 0.23 34.0 46 1.14 0.9180.053 0.33 0.07 21.2 54 0.65 0.14 22.2 63 0.17 0.0634.072 0.12 0.04 32.0 86 0.82 0.28 34.2 98 0.38 0.0821.299 0.36 0.08 21.2 100 0.41 0.09 21.2 104 0.71 0.75

106.0105 0.25 0.08 32.9 107 0.61 0.20 32.9 111 1.16 1.74

150.0112 0.39 0.05 12.2 119 1.23 1.02 83.0 120 1.16 1.75

150.0121 1.15 1.72 150.0 122 1.20 0.99 83.0 123 0.65 0.98

150.0124 0.97 1.46 150.0 126 0.25 0.20 82.0 128 0.82 0.5770.0129 1.09 0.76 70.0 130 0.66 1.00 150.0 131 1.25 1.88

150.0132 0.76 0.84 110.7 133 0.60 0.43 72.0 139 0.96 1.44

150.0140 0.44 0.63 144.9 141 0.82 0.27 32.9 142 0.58 0.1932.9143 0.24 0.08 32.9 145 0.63 0.59 94.9 146 0.46 0.2862.0152 0.34 0.07 21.2 176 0.31 0.07 21.2 177 0.30 0.0621.2178 0.31 0.07 21.2 179 0.31 0.07 21.2 181 0.32 0.0721.2186 0.32 0.07 21.2 188 0.72 0.84 118.0 189 1.27 1.91

150.0190 1.29 1.94 150.0 191 0.93 0.78 83.8 193 0.97 0.3132.0195 0.13 0.05 39.3 196 1.11 1.67 150.0 197 0.72 0.5678.0199 1.13 1.70 150.0 200 0.33 0.38 116.0 201 1.11 1.67

150.0202 0.73 0.25 34.0 203 0.32 0.07 21.2 207 0.57 0.85

150.0_________________________________________________________________________________________________________________________

59

209 0.38 0.57 150.0 210 0.75 1.12 150.0 212 0.08 0.0224.0213 0.32 0.07 21.2 217 0.32 0.07 21.2 218 0.89 1.35

151.8219 0.87 1.32 151.8 220 0.58 0.07 12.9 221 0.88 1.34

151.8225 0.33 0.07 21.2 226 1.21 1.79 148.2 227 1.41 2.08

148.2228 1.19 1.76 148.2 238 0.32 0.07 21.2 243 0.62 0.93

150.0246 0.45 0.05 11.1 247 0.71 1.03 144.9 248 0.44 0.63

144.9249 0.56 0.63 112.9 252 0.91 1.37 150.0 253 0.90 1.35

150.0254 1.05 1.58 150.0 255 1.07 1.61 150.0 257 0.68 0.4667.0258 0.65 0.44 67.0 259 0.88 0.82 93.1 260 0.41 0.63

155.1261 0.51 0.47 93.1 262 0.44 0.48 110.0 263 0.43 0.2762.0265 0.45 0.59 131.0 266 0.49 0.39 78.7 267 0.45 0.58

131.0268 0.45 0.59 131.0

75 10 0.55 0.12 21.2 11 1.00 0.21 21.2 12 0.51 0.1121.219 0.52 0.11 21.2 20 0.53 0.11 21.2 26 0.75 0.3952.333 1.61 2.39 148.2 34 1.02 1.09 106.0 35 0.72 0.6793.136 0.96 1.44 150.0 37 0.52 0.11 21.2 38 0.99 0.2121.239 0.53 0.11 21.2 40 0.59 0.19 32.0 41 1.35 1.0880.042 1.26 1.90 150.0 43 0.89 0.30 34.0 46 1.30 1.0480.053 0.53 0.11 21.2 54 0.86 0.19 22.2 63 0.65 0.2234.072 0.57 0.18 32.0 86 1.14 0.39 34.2 98 0.69 0.1521.299 0.56 0.12 21.2 100 0.70 0.15 21.2 104 0.61 0.65

106.0105 0.60 0.20 32.9 107 0.95 0.31 32.9 111 1.35 2.03

150.0112 0.77 0.09 12.2 119 1.32 1.10 83.0 120 1.07 1.60

150.0121 1.05 1.57 150.0 122 1.36 1.13 83.0 123 0.81 1.21

150.0124 0.88 1.32 150.0 126 0.53 0.44 82.0 128 1.05 0.7370.0129 1.42 0.99 70.0 130 0.67 1.00 150.0 131 1.52 2.28

150.0132 0.78 0.87 110.7 133 0.62 0.44 72.0 139 0.87 1.31

150.0140 0.71 1.03 144.9 141 1.07 0.35 32.9 142 0.91 0.3032.9143 0.53 0.17 32.9 145 0.85 0.80 94.9 146 0.81 0.5062.0152 0.52 0.11 21.2 176 0.53 0.11 21.2 177 0.53 0.1121.2178 0.51 0.11 21.2 179 0.51 0.11 21.2 181 0.53 0.1121.2186 0.54 0.11 21.2 188 0.93 1.10 118.0 189 1.14 1.71

150.0190 1.15 1.72 150.0 191 1.25 1.04 83.8 193 1.14 0.3632.0195 0.52 0.20 39.3 196 1.23 1.84 150.0 197 0.68 0.5378.0199 0.97 1.45 150.0 200 0.51 0.59 116.0 201 0.98 1.48

150.0202 0.87 0.30 34.0 203 0.51 0.11 21.2 207 0.61 0.91

150.0209 0.64 0.96 150.0 210 0.96 1.44 150.0 212 0.54 0.1324.0213 0.52 0.11 21.2 217 0.53 0.11 21.2 218 1.08 1.65

151.8219 0.90 1.36 151.8 220 0.94 0.12 12.9 221 1.14 1.74

151.8225 0.54 0.11 21.2 226 1.12 1.65 148.2 227 1.57 2.33

148.2228 1.10 1.63 148.2 238 0.52 0.11 21.2 243 0.80 1.19

150.0246 0.68 0.08 11.1 247 0.95 1.37 144.9 248 0.59 0.86

144.9249 0.62 0.70 112.9 252 1.04 1.56 150.0 253 1.03 1.55

150.0254 0.95 1.43 150.0 255 0.97 1.46 150.0 257 0.81 0.5467.0258 0.78 0.52 67.0 259 1.09 1.02 93.1 260 0.64 0.99

155.1261 0.89 0.83 93.1 262 0.77 0.85 110.0 263 0.67 0.4162.0265 0.73 0.95 131.0 266 0.82 0.65 78.7 267 0.63 0.83

131.0268 0.70 0.92 131.0

76 10 0.66 0.14 21.2 11 1.77 0.37 21.2 12 0.64 0.1421.219 0.63 0.13 21.2 20 0.65 0.14 21.2 26 0.35 0.1852.333 1.42 2.10 148.2 34 0.85 0.90 106.0 35 0.86 0.8093.136 1.18 1.77 150.0 37 0.66 0.14 21.2 38 1.77 0.3721.239 0.65 0.14 21.2 40 0.72 0.23 32.0 41 1.50 1.2080.042 1.48 2.21 150.0 43 0.50 0.17 34.0 46 1.34 1.0780.053 0.64 0.13 21.2 54 0.43 0.10 22.2 63 0.96 0.3334.072 0.99 0.32 32.0 86 0.34 0.11 34.2 98 0.60 0.1321.299 0.67 0.14 21.2 100 0.63 0.13 21.2 104 1.18 1.25

106.0105 0.89 0.29 32.9 107 0.43 0.14 32.9 111 1.45 2.17

150.0112 0.40 0.05 12.2 119 1.66 1.38 83.0 120 1.25 1.88

150.0121 1.25 1.87 150.0 122 1.33 1.10 83.0 123 1.20 1.80

_________________________________________________________________________________________________________________________

60

150.0124 1.19 1.78 150.0 126 0.85 0.70 82.0 128 1.40 0.9870.0129 0.87 0.61 70.0 130 0.68 1.02 150.0 131 1.43 2.15

150.0132 0.71 0.78 110.7 133 0.63 0.46 72.0 139 1.19 1.79

150.0140 1.25 1.81 144.9 141 0.53 0.17 32.9 142 0.45 0.1532.9143 0.86 0.28 32.9 145 0.92 0.87 94.9 146 0.76 0.4762.0152 0.65 0.14 21.2 176 0.63 0.13 21.2 177 0.62 0.1321.2178 0.63 0.13 21.2 179 0.62 0.13 21.2 181 0.64 0.1421.2186 0.64 0.14 21.2 188 0.92 1.09 118.0 189 1.36 2.03

150.0190 1.38 2.07 150.0 191 0.80 0.67 83.8 193 0.98 0.3132.0195 0.68 0.27 39.3 196 1.61 2.42 150.0 197 0.76 0.5978.0199 1.28 1.91 150.0 200 0.88 1.02 116.0 201 1.27 1.90

150.0202 1.19 0.41 34.0 203 0.63 0.13 21.2 207 1.12 1.68

150.0209 0.86 1.29 150.0 210 1.18 1.77 150.0 212 0.82 0.2024.0213 0.63 0.13 21.2 217 0.64 0.14 21.2 218 0.98 1.48

151.8219 0.68 1.04 151.8 220 0.60 0.08 12.9 221 0.99 1.50

151.8225 0.65 0.14 21.2 226 1.26 1.87 148.2 227 1.59 2.36

148.2228 1.25 1.85 148.2 238 0.63 0.13 21.2 243 1.20 1.80

150.0246 0.74 0.08 11.1 247 1.25 1.82 144.9 248 1.00 1.45

144.9249 1.09 1.23 112.9 252 1.23 1.85 150.0 253 1.24 1.85

150.0254 1.20 1.80 150.0 255 1.20 1.80 150.0 257 0.97 0.6567.0258 0.96 0.64 67.0 259 1.09 1.01 93.1 260 0.59 0.92

155.1261 1.10 1.03 93.1 262 0.77 0.85 110.0 263 0.72 0.4462.0265 0.63 0.82 131.0 266 0.40 0.32 78.7 267 0.59 0.78

131.0268 0.31 0.41 131.0

77 10 1.04 0.22 21.2 11 2.25 0.48 21.2 12 0.98 0.2121.219 0.99 0.21 21.2 20 1.05 0.22 21.2 26 0.89 0.4652.333 1.64 2.43 148.2 34 1.40 1.49 106.0 35 1.22 1.1493.136 1.35 2.03 150.0 37 1.03 0.22 21.2 38 2.25 0.4821.239 1.04 0.22 21.2 40 0.98 0.31 32.0 41 1.70 1.3680.042 1.37 2.05 150.0 43 1.07 0.37 34.0 46 1.43 1.1480.053 0.98 0.21 21.2 54 1.02 0.23 22.2 63 1.47 0.5034.072 1.47 0.47 32.0 86 1.12 0.38 34.2 98 0.86 0.1821.299 1.05 0.22 21.2 100 0.87 0.18 21.2 104 1.36 1.44

106.0105 1.15 0.38 32.9 107 0.94 0.31 32.9 111 1.63 2.45

150.0112 0.87 0.11 12.2 119 1.95 1.62 83.0 120 1.79 2.69

150.0121 1.70 2.55 150.0 122 1.52 1.26 83.0 123 1.55 2.32

150.0124 1.73 2.59 150.0 126 1.20 0.98 82.0 128 1.70 1.1970.0129 1.07 0.75 70.0 130 1.12 1.68 150.0 131 1.53 2.30

150.0132 1.23 1.36 110.7 133 1.27 0.92 72.0 139 1.66 2.50

150.0140 1.39 2.02 144.9 141 1.03 0.34 32.9 142 0.86 0.2832.9143 1.03 0.34 32.9 145 1.40 1.33 94.9 146 1.13 0.7062.0152 1.06 0.22 21.2 176 1.02 0.22 21.2 177 1.00 0.2121.2178 1.00 0.21 21.2 179 0.97 0.21 21.2 181 1.03 0.2221.2186 1.01 0.21 21.2 188 1.23 1.45 118.0 189 1.82 2.74

150.0190 1.92 2.88 150.0 191 1.18 0.99 83.8 193 1.35 0.4332.0195 1.12 0.44 39.3 196 1.87 2.80 150.0 197 1.39 1.0878.0199 1.85 2.78 150.0 200 1.45 1.68 116.0 201 1.73 2.59

150.0202 1.48 0.50 34.0 203 1.00 0.21 21.2 207 1.57 2.35

150.0209 1.38 2.07 150.0 210 1.53 2.29 150.0 212 1.13 0.2724.0213 0.98 0.21 21.2 217 1.04 0.22 21.2 218 1.25 1.90

151.8219 1.18 1.79 151.8 220 1.00 0.13 12.9 221 1.31 2.00

151.8225 1.02 0.22 21.2 226 1.78 2.64 148.2 227 1.73 2.57

148.2228 1.68 2.50 148.2 238 1.00 0.21 21.2 243 1.47 2.21

150.0246 0.97 0.11 11.1 247 1.51 2.19 144.9 248 1.49 2.16

144.9249 1.47 1.66 112.9 252 1.58 2.37 150.0 253 1.51 2.26

150.0254 1.68 2.51 150.0 255 1.75 2.62 150.0 257 1.43 0.9667.0258 1.32 0.88 67.0 259 1.26 1.17 93.1 260 0.97 1.50

155.1261 1.35 1.26 93.1 262 1.19 1.31 110.0 263 1.03 0.6462.0

_________________________________________________________________________________________________________________________

61

265 1.06 1.39 131.0 266 0.91 0.72 78.7 267 0.96 1.26131.0

268 0.78 1.02 131.078 10 0.34 0.07 21.2 11 1.47 0.31 21.2 12 0.34 0.0721.2

19 0.32 0.07 21.2 20 0.33 0.07 21.2 26 0.39 0.2152.333 1.38 2.05 148.2 34 1.04 1.10 106.0 35 0.56 0.5293.136 0.74 1.11 150.0 37 0.33 0.07 21.2 38 1.46 0.3121.239 0.32 0.07 21.2 40 0.26 0.08 32.0 41 1.06 0.8580.042 1.08 1.62 150.0 43 0.65 0.22 34.0 46 1.12 0.8980.053 0.33 0.07 21.2 54 0.64 0.14 22.2 63 0.16 0.0534.072 0.10 0.03 32.0 86 0.82 0.28 34.2 98 0.38 0.0821.299 0.35 0.07 21.2 100 0.41 0.09 21.2 104 0.70 0.75

106.0105 0.26 0.09 32.9 107 0.61 0.20 32.9 111 1.13 1.70

150.0112 0.39 0.05 12.2 119 1.23 1.02 83.0 120 1.17 1.75

150.0121 1.15 1.72 150.0 122 1.18 0.98 83.0 123 0.66 0.99

150.0124 0.97 1.46 150.0 126 0.24 0.20 82.0 128 0.80 0.5670.0129 1.08 0.75 70.0 130 0.66 0.99 150.0 131 1.22 1.83

150.0132 0.76 0.84 110.7 133 0.60 0.44 72.0 139 0.96 1.44

150.0140 0.44 0.64 144.9 141 0.82 0.27 32.9 142 0.58 0.1932.9143 0.25 0.08 32.9 145 0.62 0.59 94.9 146 0.47 0.2962.0152 0.34 0.07 21.2 176 0.31 0.07 21.2 177 0.30 0.0621.2178 0.31 0.07 21.2 179 0.30 0.06 21.2 181 0.31 0.0721.2186 0.32 0.07 21.2 188 0.69 0.82 118.0 189 1.27 1.91

150.0190 1.29 1.94 150.0 191 0.91 0.76 83.8 193 0.96 0.3132.0195 0.12 0.05 39.3 196 1.09 1.63 150.0 197 0.73 0.5778.0199 1.14 1.71 150.0 200 0.33 0.38 116.0 201 1.11 1.67

150.0202 0.72 0.25 34.0 203 0.31 0.07 21.2 207 0.56 0.84

150.0209 0.38 0.57 150.0 210 0.74 1.10 150.0 212 0.10 0.0224.0213 0.32 0.07 21.2 217 0.32 0.07 21.2 218 0.87 1.32

151.8219 0.87 1.31 151.8 220 0.58 0.07 12.9 221 0.87 1.32

151.8225 0.33 0.07 21.2 226 1.21 1.79 148.2 227 1.38 2.05

148.2228 1.19 1.76 148.2 238 0.32 0.07 21.2 243 0.63 0.94

150.0246 0.45 0.05 11.1 247 0.70 1.02 144.9 248 0.43 0.63

144.9249 0.56 0.63 112.9 252 0.91 1.37 150.0 253 0.90 1.35

150.0254 1.05 1.58 150.0 255 1.07 1.61 150.0 257 0.69 0.4667.0258 0.66 0.44 67.0 259 0.87 0.81 93.1 260 0.40 0.63

155.1261 0.51 0.48 93.1 262 0.43 0.47 110.0 263 0.45 0.2862.0265 0.45 0.59 131.0 266 0.47 0.37 78.7 267 0.44 0.58

131.0268 0.43 0.57 131.0

79 10 0.54 0.11 21.2 11 1.01 0.21 21.2 12 0.50 0.1121.219 0.52 0.11 21.2 20 0.52 0.11 21.2 26 0.76 0.4052.333 1.64 2.42 148.2 34 1.02 1.08 106.0 35 0.71 0.6693.136 0.96 1.44 150.0 37 0.51 0.11 21.2 38 1.00 0.2121.239 0.52 0.11 21.2 40 0.58 0.18 32.0 41 1.38 1.1080.042 1.29 1.93 150.0 43 0.90 0.31 34.0 46 1.31 1.0580.053 0.53 0.11 21.2 54 0.86 0.19 22.2 63 0.63 0.2134.072 0.54 0.17 32.0 86 1.15 0.39 34.2 98 0.68 0.1421.299 0.55 0.12 21.2 100 0.70 0.15 21.2 104 0.62 0.65

106.0105 0.59 0.19 32.9 107 0.95 0.31 32.9 111 1.38 2.07

150.0112 0.76 0.09 12.2 119 1.33 1.10 83.0 120 1.06 1.59

150.0121 1.03 1.55 150.0 122 1.36 1.13 83.0 123 0.80 1.20

150.0124 0.88 1.31 150.0 126 0.52 0.43 82.0 128 1.07 0.7570.0129 1.42 1.00 70.0 130 0.65 0.97 150.0 131 1.54 2.31

150.0132 0.76 0.85 110.7 133 0.62 0.44 72.0 139 0.86 1.29

150.0140 0.70 1.02 144.9 141 1.07 0.35 32.9 142 0.91 0.3032.9143 0.52 0.17 32.9 145 0.85 0.81 94.9 146 0.80 0.4962.0152 0.52 0.11 21.2 176 0.52 0.11 21.2 177 0.53 0.1121.2178 0.50 0.11 21.2 179 0.51 0.11 21.2 181 0.52 0.1121.2186 0.53 0.11 21.2 188 0.93 1.10 118.0 189 1.13 1.69

150.0190 1.15 1.72 150.0 191 1.27 1.06 83.8 193 1.15 0.3732.0195 0.50 0.20 39.3 196 1.26 1.88 150.0 197 0.68 0.5378.0199 0.97 1.45 150.0 200 0.51 0.59 116.0 201 0.97 1.46

150.0202 0.87 0.29 34.0 203 0.50 0.11 21.2 207 0.61 0.91_________________________________________________________________________________________________________________________

62

150.0209 0.64 0.96 150.0 210 0.97 1.46 150.0 212 0.53 0.1324.0213 0.52 0.11 21.2 217 0.52 0.11 21.2 218 1.09 1.65

151.8219 0.88 1.34 151.8 220 0.94 0.12 12.9 221 1.15 1.75

151.8225 0.54 0.11 21.2 226 1.12 1.65 148.2 227 1.58 2.35

148.2228 1.09 1.61 148.2 238 0.51 0.11 21.2 243 0.77 1.16

150.0246 0.68 0.07 11.1 247 0.95 1.38 144.9 248 0.59 0.86

144.9249 0.60 0.68 112.9 252 1.04 1.55 150.0 253 1.02 1.53

150.0254 0.94 1.41 150.0 255 0.97 1.45 150.0 257 0.80 0.5467.0258 0.76 0.51 67.0 259 1.10 1.02 93.1 260 0.63 0.97

155.1261 0.88 0.82 93.1 262 0.77 0.85 110.0 263 0.65 0.4062.0265 0.72 0.95 131.0 266 0.83 0.65 78.7 267 0.62 0.81

131.0268 0.71 0.93 131.0

80 10 0.67 0.14 21.2 11 1.78 0.38 21.2 12 0.65 0.1421.219 0.64 0.14 21.2 20 0.65 0.14 21.2 26 0.36 0.1952.333 1.44 2.13 148.2 34 0.85 0.90 106.0 35 0.88 0.8293.136 1.19 1.79 150.0 37 0.66 0.14 21.2 38 1.78 0.3821.239 0.65 0.14 21.2 40 0.72 0.23 32.0 41 1.52 1.2280.042 1.50 2.25 150.0 43 0.51 0.17 34.0 46 1.37 1.1080.053 0.65 0.14 21.2 54 0.43 0.10 22.2 63 0.96 0.3334.072 1.01 0.32 32.0 86 0.33 0.11 34.2 98 0.61 0.1321.299 0.68 0.14 21.2 100 0.64 0.13 21.2 104 1.19 1.26

106.0105 0.89 0.29 32.9 107 0.43 0.14 32.9 111 1.47 2.21

150.0112 0.40 0.05 12.2 119 1.67 1.38 83.0 120 1.25 1.88

150.0121 1.25 1.88 150.0 122 1.35 1.12 83.0 123 1.19 1.78

150.0124 1.18 1.78 150.0 126 0.86 0.70 82.0 128 1.42 0.9970.0129 0.89 0.62 70.0 130 0.70 1.05 150.0 131 1.47 2.20

150.0132 0.72 0.79 110.7 133 0.63 0.45 72.0 139 1.20 1.79

150.0140 1.25 1.82 144.9 141 0.53 0.17 32.9 142 0.45 0.1532.9143 0.86 0.28 32.9 145 0.93 0.88 94.9 146 0.75 0.4762.0152 0.65 0.14 21.2 176 0.64 0.14 21.2 177 0.63 0.1321.2178 0.63 0.13 21.2 179 0.62 0.13 21.2 181 0.65 0.1421.2186 0.65 0.14 21.2 188 0.95 1.12 118.0 189 1.36 2.04

150.0190 1.38 2.07 150.0 191 0.82 0.69 83.8 193 0.99 0.3232.0195 0.68 0.27 39.3 196 1.64 2.46 150.0 197 0.76 0.5978.0199 1.27 1.91 150.0 200 0.88 1.02 116.0 201 1.27 1.91

150.0202 1.21 0.41 34.0 203 0.64 0.13 21.2 207 1.12 1.68

150.0209 0.86 1.29 150.0 210 1.19 1.79 150.0 212 0.82 0.2024.0213 0.64 0.13 21.2 217 0.65 0.14 21.2 218 1.00 1.51

151.8219 0.69 1.05 151.8 220 0.61 0.08 12.9 221 1.00 1.52

151.8225 0.66 0.14 21.2 226 1.26 1.87 148.2 227 1.62 2.40

148.2228 1.25 1.86 148.2 238 0.64 0.13 21.2 243 1.20 1.80

150.0246 0.75 0.08 11.1 247 1.26 1.83 144.9 248 1.00 1.45

144.9249 1.09 1.24 112.9 252 1.23 1.85 150.0 253 1.24 1.86

150.0254 1.20 1.80 150.0 255 1.20 1.79 150.0 257 0.96 0.6467.0258 0.96 0.64 67.0 259 1.11 1.03 93.1 260 0.60 0.94

155.1261 1.11 1.03 93.1 262 0.78 0.86 110.0 263 0.71 0.4462.0265 0.63 0.83 131.0 266 0.42 0.33 78.7 267 0.60 0.79

131.0268 0.33 0.44 131.0

81 10 1.03 0.22 21.2 11 2.24 0.47 21.2 12 0.97 0.2121.219 0.98 0.21 21.2 20 1.04 0.22 21.2 26 0.88 0.4652.333 1.62 2.41 148.2 34 1.40 1.49 106.0 35 1.20 1.1293.136 1.33 2.00 150.0 37 1.02 0.22 21.2 38 2.24 0.4721.239 1.03 0.22 21.2 40 0.97 0.31 32.0 41 1.68 1.3580.042 1.34 2.01 150.0 43 1.07 0.36 34.0 46 1.40 1.1280.053 0.97 0.21 21.2 54 1.02 0.23 22.2 63 1.46 0.5034.072 1.45 0.46 32.0 86 1.13 0.39 34.2 98 0.85 0.1821.299 1.05 0.22 21.2 100 0.86 0.18 21.2 104 1.36 1.44

106.0105 1.15 0.38 32.9 107 0.94 0.31 32.9 111 1.61 2.42

150.0112 0.87 0.11 12.2 119 1.95 1.62 83.0 120 1.79 2.69

150.0

_________________________________________________________________________________________________________________________

63

121 1.69 2.54 150.0 122 1.50 1.24 83.0 123 1.55 2.33150.0

124 1.73 2.59 150.0 126 1.19 0.97 82.0 128 1.69 1.1870.0129 1.04 0.73 70.0 130 1.10 1.65 150.0 131 1.49 2.24

150.0132 1.21 1.34 110.7 133 1.28 0.92 72.0 139 1.65 2.48

150.0140 1.38 2.01 144.9 141 1.03 0.34 32.9 142 0.85 0.2832.9143 1.02 0.34 32.9 145 1.40 1.33 94.9 146 1.13 0.7062.0152 1.05 0.22 21.2 176 1.01 0.21 21.2 177 0.99 0.2121.2178 0.99 0.21 21.2 179 0.96 0.20 21.2 181 1.02 0.2221.2186 1.00 0.21 21.2 188 1.20 1.41 118.0 189 1.81 2.72

150.0190 1.92 2.88 150.0 191 1.18 0.99 83.8 193 1.35 0.4332.0195 1.11 0.43 39.3 196 1.85 2.77 150.0 197 1.39 1.0978.0199 1.86 2.78 150.0 200 1.45 1.68 116.0 201 1.72 2.58

150.0202 1.46 0.50 34.0 203 0.99 0.21 21.2 207 1.57 2.35

150.0209 1.38 2.07 150.0 210 1.52 2.28 150.0 212 1.12 0.2724.0213 0.97 0.21 21.2 217 1.03 0.22 21.2 218 1.23 1.86

151.8219 1.16 1.76 151.8 220 1.00 0.13 12.9 221 1.30 1.98

151.8225 1.01 0.21 21.2 226 1.78 2.64 148.2 227 1.70 2.52

148.2228 1.67 2.48 148.2 238 0.99 0.21 21.2 243 1.47 2.21

150.0246 0.96 0.11 11.1 247 1.50 2.18 144.9 248 1.49 2.16

144.9249 1.46 1.65 112.9 252 1.58 2.37 150.0 253 1.50 2.24

150.0254 1.67 2.50 150.0 255 1.75 2.62 150.0 257 1.44 0.9667.0258 1.31 0.88 67.0 259 1.23 1.15 93.1 260 0.95 1.47

155.1261 1.35 1.25 93.1 262 1.18 1.30 110.0 263 1.02 0.6462.0265 1.05 1.37 131.0 266 0.90 0.71 78.7 267 0.95 1.24

131.0268 0.76 1.00 131.0

82 10 0.50 0.10 21.2 11 0.46 0.10 21.2 12 0.73 0.1521.219 0.73 0.16 21.2 20 0.50 0.11 21.2 26 0.48 0.2552.333 0.93 1.38 148.2 34 0.96 1.01 106.0 35 0.45 0.4293.136 0.35 0.52 150.0 37 0.49 0.10 21.2 38 0.46 0.1021.239 0.49 0.10 21.2 40 0.26 0.08 32.0 41 0.48 0.3980.042 0.39 0.58 150.0 43 0.93 0.32 34.0 46 0.61 0.4980.053 0.47 0.10 21.2 54 0.68 0.15 22.2 63 0.74 0.2534.072 0.74 0.24 32.0 86 1.00 0.34 34.2 98 0.45 0.0921.299 0.50 0.11 21.2 100 0.46 0.10 21.2 104 0.52 0.55

106.0105 0.22 0.07 32.9 107 0.42 0.14 32.9 111 0.80 1.20

150.0112 0.36 0.04 12.2 119 0.96 0.80 83.0 120 1.07 1.61

150.0121 0.94 1.42 150.0 122 0.81 0.67 83.0 123 0.84 1.26

150.0124 0.97 1.46 150.0 126 0.58 0.48 82.0 128 0.52 0.3670.0129 0.70 0.49 70.0 130 0.73 1.09 150.0 131 0.80 1.21

150.0132 0.92 1.02 110.7 133 1.01 0.73 72.0 139 0.83 1.25

150.0140 0.44 0.64 144.9 141 0.54 0.18 32.9 142 0.28 0.0932.9143 0.26 0.09 32.9 145 0.61 0.58 94.9 146 0.31 0.1962.0152 0.53 0.11 21.2 176 0.47 0.10 21.2 177 0.46 0.1021.2178 0.49 0.10 21.2 179 0.48 0.10 21.2 181 0.48 0.1021.2186 0.47 0.10 21.2 188 0.82 0.97 118.0 189 1.01 1.52

150.0190 1.10 1.64 150.0 191 0.85 0.71 83.8 193 0.93 0.3032.0195 0.74 0.29 39.3 196 1.01 1.51 150.0 197 1.07 0.8478.0199 1.12 1.69 150.0 200 0.98 1.14 116.0 201 0.87 1.31

150.0202 0.73 0.25 34.0 203 0.48 0.10 21.2 207 0.81 1.22

150.0209 0.77 1.16 150.0 210 0.77 1.16 150.0 212 0.43 0.1024.0213 0.48 0.10 21.2 217 0.48 0.10 21.2 218 0.73 1.10

151.8219 0.86 1.30 151.8 220 0.18 0.02 12.9 221 0.63 0.95

151.8225 0.48 0.10 21.2 226 1.05 1.56 148.2 227 0.81 1.21

148.2228 0.95 1.40 148.2 238 0.47 0.10 21.2 243 0.67 1.00

150.0246 0.04 4.65e-03 11.1 247 0.73 1.06 144.9 248 0.74 1.08

144.9249 0.53 0.59 112.9 252 0.90 1.35 150.0 253 0.76 1.14

150.0254 0.91 1.37 150.0 255 1.04 1.56 150.0 257 0.92 0.6167.0258 0.77 0.52 67.0 259 0.41 0.38 93.1 260 0.41 0.63

155.1

_________________________________________________________________________________________________________________________

64

261 0.33 0.31 93.1 262 0.41 0.45 110.0 263 0.37 0.2362.0265 0.46 0.60 131.0 266 0.46 0.36 78.7 267 0.49 0.65

131.0268 0.50 0.66 131.0

83 10 1.23 0.26 21.2 11 1.15 0.24 21.2 12 0.80 0.1721.219 0.82 0.17 21.2 20 1.24 0.26 21.2 26 1.40 0.7352.333 1.80 2.67 148.2 34 1.58 1.67 106.0 35 1.19 1.1193.136 1.16 1.75 150.0 37 1.23 0.26 21.2 38 1.16 0.2521.239 1.24 0.26 21.2 40 1.09 0.35 32.0 41 1.59 1.2780.042 0.47 0.71 150.0 43 1.69 0.58 34.0 46 1.29 1.0380.053 1.16 0.25 21.2 54 1.51 0.33 22.2 63 1.63 0.5534.072 1.54 0.49 32.0 86 1.97 0.67 34.2 98 1.12 0.2421.299 1.25 0.26 21.2 100 1.10 0.23 21.2 104 0.70 0.74

106.0105 1.14 0.37 32.9 107 1.50 0.49 32.9 111 1.58 2.38

150.0112 1.36 0.17 12.2 119 1.69 1.40 83.0 120 1.68 2.51

150.0121 1.36 2.03 150.0 122 1.43 1.19 83.0 123 1.57 2.36

150.0124 1.61 2.42 150.0 126 1.26 1.03 82.0 128 1.56 1.0970.0129 1.58 1.11 70.0 130 1.23 1.84 150.0 131 1.55 2.33

150.0132 1.38 1.53 110.7 133 1.64 1.18 72.0 139 1.36 2.04

150.0140 1.13 1.64 144.9 141 1.52 0.50 32.9 142 1.35 0.4532.9143 0.94 0.31 32.9 145 1.58 1.50 94.9 146 1.40 0.8762.0152 1.25 0.27 21.2 176 1.22 0.26 21.2 177 1.21 0.2621.2178 1.17 0.25 21.2 179 1.16 0.24 21.2 181 1.23 0.2621.2186 1.22 0.26 21.2 188 1.41 1.66 118.0 189 1.37 2.06

150.0190 1.65 2.47 150.0 191 1.81 1.52 83.8 193 1.68 0.5432.0195 1.36 0.54 39.3 196 1.68 2.52 150.0 197 1.67 1.3078.0199 1.68 2.52 150.0 200 1.73 2.01 116.0 201 1.31 1.97

150.0202 1.32 0.45 34.0 203 1.17 0.25 21.2 207 1.52 2.28

150.0209 1.64 2.45 150.0 210 1.62 2.44 150.0 212 1.22 0.2924.0213 1.16 0.25 21.2 217 1.23 0.26 21.2 218 1.39 2.10

151.8219 1.33 2.02 151.8 220 1.43 0.18 12.9 221 1.60 2.43

151.8225 1.22 0.26 21.2 226 1.65 2.45 148.2 227 1.45 2.15

148.2228 1.34 1.98 148.2 238 1.17 0.25 21.2 243 1.31 1.97

150.0246 0.99 0.11 11.1 247 1.54 2.23 144.9 248 1.58 2.29

144.9249 1.24 1.40 112.9 252 1.64 2.45 150.0 253 1.36 2.04

150.0254 1.38 2.07 150.0 255 1.65 2.48 150.0 257 1.66 1.1167.0258 1.34 0.90 67.0 259 1.21 1.13 93.1 260 1.15 1.78

155.1261 1.43 1.33 93.1 262 1.45 1.59 110.0 263 1.14 0.7162.0265 1.37 1.79 131.0 266 1.42 1.12 78.7 267 1.14 1.49

131.0268 1.19 1.56 131.0

84 10 0.50 0.11 21.2 11 0.27 0.06 21.2 12 0.19 0.0421.219 0.17 0.04 21.2 20 0.50 0.11 21.2 26 0.43 0.2252.333 1.00 1.48 148.2 34 0.70 0.75 106.0 35 0.33 0.3193.136 0.57 0.86 150.0 37 0.50 0.11 21.2 38 0.26 0.0521.239 0.49 0.10 21.2 40 0.37 0.12 32.0 41 0.79 0.6480.042 0.76 1.14 150.0 43 0.86 0.29 34.0 46 0.76 0.6180.053 0.47 0.10 21.2 54 0.52 0.11 22.2 63 0.66 0.2334.072 0.67 0.21 32.0 86 0.88 0.30 34.2 98 0.44 0.0921.299 0.51 0.11 21.2 100 0.45 0.10 21.2 104 0.45 0.48

106.0105 0.42 0.14 32.9 107 0.31 0.10 32.9 111 0.97 1.46

150.0112 0.32 0.04 12.2 119 1.07 0.89 83.0 120 0.84 1.27

150.0121 0.58 0.87 150.0 122 0.78 0.65 83.0 123 0.94 1.41

150.0124 0.77 1.16 150.0 126 0.57 0.47 82.0 128 0.73 0.5170.0129 0.62 0.43 70.0 130 0.45 0.67 150.0 131 0.91 1.37

150.0132 0.59 0.65 110.7 133 0.86 0.62 72.0 139 0.52 0.77

150.0140 0.78 1.14 144.9 141 0.30 0.10 32.9 142 0.17 0.0632.9143 0.47 0.15 32.9 145 0.54 0.51 94.9 146 0.39 0.2462.0152 0.51 0.11 21.2 176 0.47 0.10 21.2 177 0.48 0.1021.2178 0.46 0.10 21.2 179 0.46 0.10 21.2 181 0.48 0.1021.2186 0.49 0.10 21.2 188 0.72 0.85 118.0 189 0.58 0.88

150.0190 0.81 1.22 150.0 191 0.86 0.72 83.8 193 0.90 0.2932.0195 0.61 0.24 39.3 196 1.17 1.75 150.0 197 0.90 0.7078.0199 0.87 1.31 150.0 200 0.95 1.10 116.0 201 0.50 0.76

150.0_________________________________________________________________________________________________________________________

65

202 0.72 0.24 34.0 203 0.46 0.10 21.2 207 0.70 1.05150.0

209 0.74 1.11 150.0 210 0.87 1.30 150.0 212 0.49 0.1224.0213 0.47 0.10 21.2 217 0.49 0.10 21.2 218 0.63 0.95

151.8219 0.51 0.77 151.8 220 0.15 0.02 12.9 221 0.68 1.03

151.8225 0.49 0.10 21.2 226 0.82 1.21 148.2 227 0.86 1.28

148.2228 0.57 0.85 148.2 238 0.47 0.10 21.2 243 0.74 1.11

150.0246 0.25 0.03 11.1 247 0.92 1.33 144.9 248 0.71 1.04

144.9249 0.44 0.49 112.9 252 0.94 1.41 150.0 253 0.73 1.10

150.0254 0.56 0.85 150.0 255 0.82 1.23 150.0 257 0.88 0.5967.0258 0.64 0.43 67.0 259 0.53 0.49 93.1 260 0.28 0.44

155.1261 0.65 0.61 93.1 262 0.43 0.47 110.0 263 0.35 0.2162.0265 0.42 0.55 131.0 266 0.40 0.31 78.7 267 0.37 0.49

131.0268 0.35 0.46 131.0

85 10 1.31 0.28 21.2 11 1.23 0.26 21.2 12 1.59 0.3421.219 1.60 0.34 21.2 20 1.33 0.28 21.2 26 1.41 0.7452.333 1.74 2.58 148.2 34 1.72 1.82 106.0 35 1.42 1.3293.136 1.32 1.98 150.0 37 1.30 0.28 21.2 38 1.25 0.2621.239 1.32 0.28 21.2 40 1.19 0.38 32.0 41 1.61 1.2880.042 0.36 0.53 150.0 43 1.71 0.58 34.0 46 1.34 1.0780.053 1.25 0.26 21.2 54 1.55 0.34 22.2 63 1.95 0.6634.072 1.90 0.61 32.0 86 1.96 0.67 34.2 98 1.23 0.2621.299 1.33 0.28 21.2 100 1.21 0.26 21.2 104 0.93 0.98

106.0105 1.29 0.42 32.9 107 1.46 0.48 32.9 111 1.61 2.41

150.0112 1.36 0.17 12.2 119 1.87 1.56 83.0 120 1.94 2.92

150.0121 1.76 2.64 150.0 122 1.57 1.30 83.0 123 1.75 2.62

150.0124 1.90 2.85 150.0 126 1.49 1.23 82.0 128 1.73 1.2170.0129 1.51 1.06 70.0 130 1.49 2.23 150.0 131 1.59 2.39

150.0132 1.67 1.85 110.7 133 1.80 1.29 72.0 139 1.75 2.63

150.0140 1.35 1.95 144.9 141 1.51 0.50 32.9 142 1.31 0.4332.9143 1.10 0.36 32.9 145 1.72 1.64 94.9 146 1.45 0.9062.0152 1.35 0.29 21.2 176 1.30 0.27 21.2 177 1.27 0.2721.2178 1.28 0.27 21.2 179 1.26 0.27 21.2 181 1.31 0.2821.2186 1.29 0.27 21.2 188 1.61 1.90 118.0 189 1.84 2.76

150.0190 1.98 2.96 150.0 191 1.74 1.46 83.8 193 1.72 0.5532.0195 1.61 0.63 39.3 196 1.85 2.77 150.0 197 1.86 1.4578.0199 2.01 3.01 150.0 200 1.94 2.25 116.0 201 1.73 2.60

150.0202 1.61 0.55 34.0 203 1.27 0.27 21.2 207 1.77 2.66

150.0209 1.79 2.69 150.0 210 1.74 2.62 150.0 212 1.39 0.3324.0213 1.25 0.26 21.2 217 1.31 0.28 21.2 218 1.54 2.33

151.8219 1.57 2.39 151.8 220 1.40 0.18 12.9 221 1.60 2.43

151.8225 1.30 0.27 21.2 226 1.91 2.83 148.2 227 1.58 2.34

148.2228 1.73 2.57 148.2 238 1.27 0.27 21.2 243 1.59 2.38

150.0246 1.12 0.12 11.1 247 1.64 2.38 144.9 248 1.79 2.59

144.9249 1.56 1.77 112.9 252 1.77 2.65 150.0 253 1.60 2.41

150.0254 1.77 2.66 150.0 255 1.92 2.89 150.0 257 1.80 1.2067.0258 1.60 1.07 67.0 259 1.29 1.20 93.1 260 1.29 2.01

155.1261 1.50 1.40 93.1 262 1.53 1.68 110.0 263 1.28 0.8062.0265 1.42 1.86 131.0 266 1.42 1.12 78.7 267 1.28 1.68

131.0268 1.27 1.66 131.0

86 10 0.54 0.11 21.2 11 0.18 0.04 21.2 12 0.49 0.1021.219 0.50 0.11 21.2 20 0.54 0.12 21.2 26 0.51 0.2752.333 0.96 1.43 148.2 34 1.00 1.06 106.0 35 0.43 0.4093.136 0.33 0.49 150.0 37 0.53 0.11 21.2 38 0.18 0.0421.239 0.53 0.11 21.2 40 0.25 0.08 32.0 41 0.51 0.4180.042 0.36 0.54 150.0 43 0.97 0.33 34.0 46 0.57 0.4580.053 0.50 0.11 21.2 54 0.71 0.16 22.2 63 0.71 0.2434.072 0.70 0.22 32.0 86 1.04 0.35 34.2 98 0.41 0.0921.299 0.54 0.11 21.2 100 0.42 0.09 21.2 104 0.51 0.54

106.0105 0.21 0.07 32.9 107 0.44 0.15 32.9 111 0.83 1.24

150.0112 0.38 0.05 12.2 119 0.99 0.82 83.0 120 1.12 1.67

_________________________________________________________________________________________________________________________

66

150.0121 0.93 1.39 150.0 122 0.77 0.64 83.0 123 0.88 1.31

150.0124 1.01 1.52 150.0 126 0.56 0.46 82.0 128 0.54 0.3870.0129 0.65 0.45 70.0 130 0.69 1.03 150.0 131 0.75 1.13

150.0132 0.88 0.97 110.7 133 1.05 0.75 72.0 139 0.82 1.24

150.0140 0.44 0.64 144.9 141 0.56 0.18 32.9 142 0.28 0.0932.9143 0.24 0.08 32.9 145 0.64 0.61 94.9 146 0.34 0.2162.0152 0.57 0.12 21.2 176 0.51 0.11 21.2 177 0.50 0.1121.2178 0.51 0.11 21.2 179 0.50 0.11 21.2 181 0.52 0.1121.2186 0.51 0.11 21.2 188 0.77 0.91 118.0 189 0.99 1.48

150.0190 1.14 1.70 150.0 191 0.88 0.74 83.8 193 0.97 0.3132.0195 0.70 0.27 39.3 196 1.04 1.56 150.0 197 1.11 0.8778.0199 1.17 1.75 150.0 200 1.02 1.18 116.0 201 0.87 1.30

150.0202 0.70 0.24 34.0 203 0.51 0.11 21.2 207 0.84 1.26

150.0209 0.80 1.21 150.0 210 0.80 1.20 150.0 212 0.41 0.1024.0213 0.50 0.11 21.2 217 0.53 0.11 21.2 218 0.68 1.03

151.8219 0.83 1.26 151.8 220 0.20 0.03 12.9 221 0.66 1.00

151.8225 0.52 0.11 21.2 226 1.10 1.63 148.2 227 0.77 1.14

148.2228 0.93 1.37 148.2 238 0.50 0.11 21.2 243 0.64 0.96

150.0246 0.03 3.24e-03 11.1 247 0.76 1.10 144.9 248 0.78 1.13

144.9249 0.52 0.58 112.9 252 0.94 1.41 150.0 253 0.73 1.09

150.0254 0.90 1.35 150.0 255 1.08 1.62 150.0 257 0.95 0.6467.0258 0.74 0.49 67.0 259 0.39 0.37 93.1 260 0.40 0.61

155.1261 0.36 0.34 93.1 262 0.44 0.48 110.0 263 0.36 0.2262.0265 0.49 0.64 131.0 266 0.49 0.39 78.7 267 0.48 0.63

131.0268 0.49 0.65 131.0

87 10 1.20 0.25 21.2 11 0.69 0.15 21.2 12 1.13 0.2421.219 1.14 0.24 21.2 20 1.20 0.25 21.2 26 1.38 0.7252.333 1.76 2.61 148.2 34 1.54 1.64 106.0 35 1.22 1.1393.136 1.18 1.77 150.0 37 1.19 0.25 21.2 38 0.71 0.1521.239 1.20 0.25 21.2 40 1.09 0.35 32.0 41 1.57 1.2580.042 0.46 0.68 150.0 43 1.66 0.56 34.0 46 1.33 1.0680.053 1.13 0.24 21.2 54 1.48 0.33 22.2 63 1.68 0.5734.072 1.59 0.51 32.0 86 1.95 0.67 34.2 98 1.15 0.2421.299 1.21 0.26 21.2 100 1.14 0.24 21.2 104 0.68 0.72

106.0105 1.14 0.37 32.9 107 1.47 0.48 32.9 111 1.55 2.33

150.0112 1.34 0.16 12.2 119 1.65 1.37 83.0 120 1.64 2.45

150.0121 1.39 2.09 150.0 122 1.46 1.21 83.0 123 1.54 2.31

150.0124 1.58 2.36 150.0 126 1.28 1.05 82.0 128 1.53 1.0770.0129 1.62 1.14 70.0 130 1.28 1.92 150.0 131 1.59 2.38

150.0132 1.43 1.58 110.7 133 1.60 1.15 72.0 139 1.38 2.07

150.0140 1.15 1.66 144.9 141 1.50 0.49 32.9 142 1.34 0.4432.9143 0.96 0.31 32.9 145 1.55 1.47 94.9 146 1.38 0.8562.0152 1.22 0.26 21.2 176 1.18 0.25 21.2 177 1.17 0.2521.2178 1.14 0.24 21.2 179 1.13 0.24 21.2 181 1.19 0.2521.2186 1.18 0.25 21.2 188 1.46 1.72 118.0 189 1.42 2.13

150.0190 1.61 2.42 150.0 191 1.78 1.49 83.8 193 1.65 0.5332.0195 1.41 0.55 39.3 196 1.64 2.46 150.0 197 1.64 1.2878.0199 1.64 2.47 150.0 200 1.70 1.97 116.0 201 1.34 2.00

150.0202 1.36 0.46 34.0 203 1.14 0.24 21.2 207 1.49 2.24

150.0209 1.60 2.40 150.0 210 1.59 2.38 150.0 212 1.22 0.2924.0213 1.13 0.24 21.2 217 1.19 0.25 21.2 218 1.42 2.16

151.8219 1.37 2.08 151.8 220 1.41 0.18 12.9 221 1.57 2.38

151.8225 1.18 0.25 21.2 226 1.62 2.39 148.2 227 1.49 2.20

148.2228 1.38 2.04 148.2 238 1.14 0.24 21.2 243 1.34 2.01

150.0246 1.01 0.11 11.1 247 1.50 2.18 144.9 248 1.55 2.24

144.9249 1.25 1.42 112.9 252 1.60 2.40 150.0 253 1.39 2.09

150.0254 1.41 2.11 150.0 255 1.61 2.42 150.0 257 1.62 1.0867.0258 1.38 0.92 67.0 259 1.23 1.14 93.1 260 1.16 1.81

_________________________________________________________________________________________________________________________

67

155.1261 1.41 1.31 93.1 262 1.42 1.57 110.0 263 1.15 0.7262.0265 1.34 1.75 131.0 266 1.40 1.10 78.7 267 1.15 1.51

131.0268 1.21 1.58 131.0

88 10 0.47 0.10 21.2 11 0.18 0.04 21.2 12 0.26 0.0521.219 0.24 0.05 21.2 20 0.46 0.10 21.2 26 0.40 0.2152.333 0.96 1.42 148.2 34 0.67 0.71 106.0 35 0.35 0.3393.136 0.57 0.86 150.0 37 0.46 0.10 21.2 38 0.16 0.0321.239 0.45 0.10 21.2 40 0.37 0.12 32.0 41 0.77 0.6280.042 0.76 1.14 150.0 43 0.83 0.28 34.0 46 0.78 0.6280.053 0.45 0.09 21.2 54 0.49 0.11 22.2 63 0.68 0.2334.072 0.69 0.22 32.0 86 0.85 0.29 34.2 98 0.47 0.1021.299 0.47 0.10 21.2 100 0.49 0.10 21.2 104 0.46 0.49

106.0105 0.43 0.14 32.9 107 0.28 0.09 32.9 111 0.94 1.42

150.0112 0.30 0.04 12.2 119 1.03 0.86 83.0 120 0.81 1.21

150.0121 0.62 0.93 150.0 122 0.80 0.67 83.0 123 0.90 1.36

150.0124 0.74 1.11 150.0 126 0.58 0.48 82.0 128 0.70 0.4970.0129 0.66 0.46 70.0 130 0.50 0.75 150.0 131 0.93 1.40

150.0132 0.64 0.71 110.7 133 0.83 0.60 72.0 139 0.55 0.82

150.0140 0.77 1.11 144.9 141 0.28 0.09 32.9 142 0.16 0.0532.9143 0.48 0.16 32.9 145 0.52 0.49 94.9 146 0.37 0.2362.0152 0.48 0.10 21.2 176 0.43 0.09 21.2 177 0.44 0.0921.2178 0.44 0.09 21.2 179 0.44 0.09 21.2 181 0.44 0.0921.2186 0.45 0.10 21.2 188 0.76 0.90 118.0 189 0.64 0.96

150.0190 0.78 1.17 150.0 191 0.83 0.70 83.8 193 0.87 0.2832.0195 0.65 0.26 39.3 196 1.12 1.69 150.0 197 0.87 0.6878.0199 0.84 1.26 150.0 200 0.91 1.06 116.0 201 0.54 0.81

150.0202 0.74 0.25 34.0 203 0.44 0.09 21.2 207 0.67 1.01

150.0209 0.71 1.07 150.0 210 0.84 1.25 150.0 212 0.51 0.1224.0213 0.45 0.09 21.2 217 0.45 0.09 21.2 218 0.66 1.00

151.8219 0.55 0.84 151.8 220 0.13 0.02 12.9 221 0.64 0.98

151.8225 0.46 0.10 21.2 226 0.79 1.16 148.2 227 0.88 1.30

148.2228 0.62 0.92 148.2 238 0.44 0.09 21.2 243 0.75 1.13

150.0246 0.26 0.03 11.1 247 0.89 1.28 144.9 248 0.69 1.00

144.9249 0.46 0.52 112.9 252 0.91 1.36 150.0 253 0.75 1.13

150.0254 0.60 0.90 150.0 255 0.79 1.18 150.0 257 0.85 0.5767.0258 0.68 0.45 67.0 259 0.53 0.50 93.1 260 0.30 0.46

155.1261 0.63 0.58 93.1 262 0.40 0.45 110.0 263 0.36 0.2262.0265 0.39 0.51 131.0 266 0.37 0.29 78.7 267 0.39 0.51

131.0268 0.37 0.48 131.0

89 10 1.35 0.29 21.2 11 1.67 0.35 21.2 12 1.27 0.2721.219 1.29 0.27 21.2 20 1.37 0.29 21.2 26 1.43 0.7552.333 1.77 2.63 148.2 34 1.76 1.87 106.0 35 1.40 1.3093.136 1.30 1.95 150.0 37 1.34 0.28 21.2 38 1.68 0.3621.239 1.36 0.29 21.2 40 1.20 0.38 32.0 41 1.63 1.3080.042 0.35 0.52 150.0 43 1.75 0.59 34.0 46 1.30 1.0480.053 1.27 0.27 21.2 54 1.57 0.35 22.2 63 1.91 0.6534.072 1.84 0.59 32.0 86 1.99 0.68 34.2 98 1.19 0.2521.299 1.37 0.29 21.2 100 1.18 0.25 21.2 104 0.95 1.00

106.0105 1.29 0.42 32.9 107 1.49 0.49 32.9 111 1.64 2.46

150.0112 1.38 0.17 12.2 119 1.90 1.58 83.0 120 1.99 2.98

150.0121 1.74 2.61 150.0 122 1.53 1.27 83.0 123 1.77 2.66

150.0124 1.94 2.91 150.0 126 1.47 1.21 82.0 128 1.75 1.2370.0129 1.46 1.02 70.0 130 1.44 2.16 150.0 131 1.54 2.31

150.0132 1.63 1.80 110.7 133 1.83 1.32 72.0 139 1.74 2.61

150.0140 1.33 1.92 144.9 141 1.53 0.50 32.9 142 1.33 0.4432.9143 1.09 0.36 32.9 145 1.75 1.66 94.9 146 1.47 0.9162.0152 1.38 0.29 21.2 176 1.34 0.28 21.2 177 1.31 0.2821.2178 1.30 0.27 21.2 179 1.28 0.27 21.2 181 1.35 0.2821.2186 1.33 0.28 21.2 188 1.56 1.84 118.0 189 1.81 2.71

150.0190 2.02 3.02 150.0 191 1.77 1.48 83.8 193 1.75 0.5632.0195 1.57 0.62 39.3 196 1.87 2.81 150.0 197 1.90 1.4878.0199 2.05 3.08 150.0 200 1.96 2.28 116.0 201 1.72 2.58_________________________________________________________________________________________________________________________

68

150.0202 1.57 0.54 34.0 203 1.30 0.27 21.2 207 1.80 2.71

150.0209 1.82 2.74 150.0 210 1.77 2.66 150.0 212 1.38 0.3324.0213 1.28 0.27 21.2 217 1.35 0.29 21.2 218 1.49 2.27

151.8219 1.54 2.33 151.8 220 1.43 0.18 12.9 221 1.63 2.48

151.8225 1.33 0.28 21.2 226 1.95 2.90 148.2 227 1.53 2.27

148.2228 1.71 2.53 148.2 238 1.29 0.27 21.2 243 1.56 2.34

150.0246 1.10 0.12 11.1 247 1.67 2.42 144.9 248 1.82 2.64

144.9249 1.56 1.76 112.9 252 1.80 2.70 150.0 253 1.57 2.36

150.0254 1.76 2.64 150.0 255 1.97 2.95 150.0 257 1.84 1.2367.0258 1.57 1.05 67.0 259 1.27 1.18 93.1 260 1.28 1.98

155.1261 1.52 1.42 93.1 262 1.56 1.71 110.0 263 1.27 0.7962.0265 1.45 1.90 131.0 266 1.44 1.14 78.7 267 1.27 1.67

131.0268 1.25 1.64 131.0

90 10 0.47 0.10 21.2 11 0.43 0.09 21.2 12 0.74 0.1621.219 0.74 0.16 21.2 20 0.48 0.10 21.2 26 0.43 0.2352.333 0.91 1.34 148.2 34 0.96 1.01 106.0 35 0.39 0.3693.136 0.29 0.44 150.0 37 0.46 0.10 21.2 38 0.43 0.0921.239 0.46 0.10 21.2 40 0.24 0.08 32.0 41 0.49 0.3980.042 0.35 0.53 150.0 43 0.93 0.32 34.0 46 0.55 0.4480.053 0.44 0.09 21.2 54 0.68 0.15 22.2 63 0.67 0.2334.072 0.67 0.21 32.0 86 1.01 0.35 34.2 98 0.41 0.0921.299 0.48 0.10 21.2 100 0.42 0.09 21.2 104 0.50 0.53

106.0105 0.19 0.06 32.9 107 0.42 0.14 32.9 111 0.80 1.19

150.0112 0.35 0.04 12.2 119 0.95 0.79 83.0 120 1.07 1.61

150.0121 0.89 1.33 150.0 122 0.72 0.60 83.0 123 0.84 1.26

150.0124 0.97 1.45 150.0 126 0.53 0.43 82.0 128 0.51 0.3670.0129 0.61 0.43 70.0 130 0.65 0.98 150.0 131 0.71 1.07

150.0132 0.85 0.94 110.7 133 1.02 0.73 72.0 139 0.78 1.17

150.0140 0.40 0.58 144.9 141 0.54 0.18 32.9 142 0.27 0.0932.9143 0.25 0.08 32.9 145 0.61 0.58 94.9 146 0.31 0.1962.0152 0.50 0.11 21.2 176 0.43 0.09 21.2 177 0.43 0.0921.2178 0.45 0.10 21.2 179 0.45 0.09 21.2 181 0.45 0.0921.2186 0.44 0.09 21.2 188 0.73 0.87 118.0 189 0.95 1.42

150.0190 1.10 1.65 150.0 191 0.85 0.71 83.8 193 0.93 0.3032.0195 0.66 0.26 39.3 196 1.01 1.52 150.0 197 1.09 0.8578.0199 1.13 1.70 150.0 200 0.99 1.15 116.0 201 0.83 1.24

150.0202 0.66 0.22 34.0 203 0.45 0.10 21.2 207 0.81 1.22

150.0209 0.77 1.16 150.0 210 0.77 1.16 150.0 212 0.38 0.0924.0213 0.44 0.09 21.2 217 0.46 0.10 21.2 218 0.63 0.95

151.8219 0.80 1.21 151.8 220 0.17 0.02 12.9 221 0.60 0.91

151.8225 0.45 0.09 21.2 226 1.05 1.56 148.2 227 0.72 1.07

148.2228 0.89 1.31 148.2 238 0.44 0.09 21.2 243 0.60 0.90

150.0246 9.55e-03 1.06e-03 11.1 247 0.72 1.05 144.9 248 0.74 1.07

144.9249 0.48 0.54 112.9 252 0.90 1.35 150.0 253 0.69 1.03

150.0254 0.86 1.29 150.0 255 1.04 1.55 150.0 257 0.91 0.6167.0258 0.70 0.47 67.0 259 0.35 0.32 93.1 260 0.36 0.55

155.1261 0.32 0.29 93.1 262 0.39 0.43 110.0 263 0.34 0.2162.0265 0.43 0.57 131.0 266 0.42 0.33 78.7 267 0.44 0.58

131.0268 0.43 0.57 131.0

91 10 1.21 0.26 21.2 11 1.11 0.24 21.2 12 0.77 0.1621.219 0.78 0.17 21.2 20 1.22 0.26 21.2 26 1.40 0.7352.333 1.83 2.72 148.2 34 1.57 1.67 106.0 35 1.13 1.0693.136 1.12 1.68 150.0 37 1.20 0.25 21.2 38 1.12 0.2421.239 1.21 0.26 21.2 40 1.06 0.34 32.0 41 1.62 1.2980.042 0.57 0.85 150.0 43 1.71 0.58 34.0 46 1.27 1.0280.053 1.13 0.24 21.2 54 1.51 0.33 22.2 63 1.57 0.5334.072 1.45 0.46 32.0 86 1.99 0.68 34.2 98 1.08 0.2321.299 1.22 0.26 21.2 100 1.06 0.23 21.2 104 0.74 0.79

106.0105 1.11 0.36 32.9 107 1.49 0.49 32.9 111 1.62 2.43

150.0

_________________________________________________________________________________________________________________________

69

112 1.34 0.16 12.2 119 1.69 1.40 83.0 120 1.67 2.51150.0

121 1.28 1.92 150.0 122 1.37 1.14 83.0 123 1.57 2.35150.0

124 1.61 2.41 150.0 126 1.20 0.98 82.0 128 1.56 1.0970.0129 1.55 1.08 70.0 130 1.15 1.73 150.0 131 1.53 2.30

150.0132 1.30 1.43 110.7 133 1.64 1.18 72.0 139 1.29 1.94

150.0140 1.08 1.57 144.9 141 1.52 0.50 32.9 142 1.34 0.4432.9143 0.91 0.30 32.9 145 1.58 1.50 94.9 146 1.38 0.8662.0152 1.23 0.26 21.2 176 1.19 0.25 21.2 177 1.18 0.2521.2178 1.14 0.24 21.2 179 1.12 0.24 21.2 181 1.20 0.2521.2186 1.19 0.25 21.2 188 1.34 1.58 118.0 189 1.29 1.93

150.0190 1.66 2.49 150.0 191 1.85 1.55 83.8 193 1.70 0.5432.0195 1.29 0.51 39.3 196 1.71 2.56 150.0 197 1.68 1.3178.0199 1.69 2.54 150.0 200 1.74 2.01 116.0 201 1.25 1.87

150.0202 1.25 0.42 34.0 203 1.14 0.24 21.2 207 1.52 2.29

150.0209 1.64 2.46 150.0 210 1.63 2.45 150.0 212 1.18 0.2824.0213 1.13 0.24 21.2 217 1.20 0.25 21.2 218 1.33 2.01

151.8219 1.25 1.90 151.8 220 1.42 0.18 12.9 221 1.61 2.44

151.8225 1.19 0.25 21.2 226 1.65 2.45 148.2 227 1.41 2.09

148.2228 1.26 1.87 148.2 238 1.14 0.24 21.2 243 1.25 1.87

150.0246 0.96 0.11 11.1 247 1.53 2.22 144.9 248 1.57 2.28

144.9249 1.19 1.35 112.9 252 1.63 2.44 150.0 253 1.29 1.93

150.0254 1.31 1.96 150.0 255 1.65 2.47 150.0 257 1.65 1.1167.0258 1.26 0.85 67.0 259 1.18 1.10 93.1 260 1.10 1.70

155.1261 1.42 1.32 93.1 262 1.43 1.58 110.0 263 1.09 0.6862.0265 1.34 1.76 131.0 266 1.42 1.12 78.7 267 1.09 1.43

131.0268 1.17 1.53 131.0

92 10 0.48 0.10 21.2 11 0.33 0.07 21.2 12 0.19 0.0421.219 0.16 0.03 21.2 20 0.47 0.10 21.2 26 0.38 0.2052.333 1.04 1.54 148.2 34 0.70 0.74 106.0 35 0.30 0.2893.136 0.59 0.88 150.0 37 0.48 0.10 21.2 38 0.32 0.0721.239 0.47 0.10 21.2 40 0.36 0.12 32.0 41 0.87 0.6980.042 0.83 1.24 150.0 43 0.88 0.30 34.0 46 0.79 0.6380.053 0.45 0.10 21.2 54 0.51 0.11 22.2 63 0.60 0.2034.072 0.64 0.20 32.0 86 0.90 0.31 34.2 98 0.40 0.0921.299 0.49 0.10 21.2 100 0.43 0.09 21.2 104 0.42 0.45

106.0105 0.40 0.13 32.9 107 0.30 0.10 32.9 111 1.03 1.55

150.0112 0.30 0.04 12.2 119 1.08 0.90 83.0 120 0.84 1.26

150.0121 0.50 0.75 150.0 122 0.76 0.63 83.0 123 0.91 1.37

150.0124 0.77 1.15 150.0 126 0.54 0.44 82.0 128 0.79 0.5570.0129 0.60 0.42 70.0 130 0.38 0.56 150.0 131 0.95 1.42

150.0132 0.51 0.56 110.7 133 0.87 0.63 72.0 139 0.45 0.67

150.0140 0.76 1.11 144.9 141 0.30 0.10 32.9 142 0.16 0.0532.9143 0.47 0.15 32.9 145 0.56 0.53 94.9 146 0.34 0.2162.0152 0.49 0.10 21.2 176 0.45 0.09 21.2 177 0.46 0.1021.2178 0.43 0.09 21.2 179 0.44 0.09 21.2 181 0.45 0.1021.2186 0.47 0.10 21.2 188 0.70 0.83 118.0 189 0.50 0.75

150.0190 0.82 1.23 150.0 191 0.91 0.76 83.8 193 0.93 0.3032.0195 0.54 0.21 39.3 196 1.24 1.86 150.0 197 0.91 0.7178.0199 0.88 1.32 150.0 200 0.96 1.11 116.0 201 0.44 0.66

150.0202 0.69 0.24 34.0 203 0.43 0.09 21.2 207 0.70 1.06

150.0209 0.75 1.12 150.0 210 0.89 1.34 150.0 212 0.46 0.1124.0213 0.45 0.09 21.2 217 0.46 0.10 21.2 218 0.60 0.91

151.8219 0.43 0.66 151.8 220 0.14 0.02 12.9 221 0.70 1.06

151.8225 0.47 0.10 21.2 226 0.82 1.21 148.2 227 0.87 1.29

148.2228 0.49 0.73 148.2 238 0.44 0.09 21.2 243 0.67 1.00

150.0246 0.27 0.03 11.1 247 0.94 1.36 144.9 248 0.71 1.02

144.9249 0.40 0.45 112.9 252 0.93 1.40 150.0 253 0.67 1.01

150.0254 0.49 0.73 150.0 255 0.81 1.22 150.0 257 0.87 0.5867.0

_________________________________________________________________________________________________________________________

70

258 0.57 0.38 67.0 259 0.55 0.51 93.1 260 0.25 0.38155.1

261 0.64 0.60 93.1 262 0.43 0.47 110.0 263 0.28 0.1862.0265 0.40 0.52 131.0 266 0.38 0.30 78.7 267 0.33 0.43

131.0268 0.30 0.40 131.0

93 10 1.28 0.27 21.2 11 1.19 0.25 21.2 12 1.55 0.3321.219 1.57 0.33 21.2 20 1.30 0.28 21.2 26 1.40 0.7352.333 1.73 2.57 148.2 34 1.72 1.82 106.0 35 1.36 1.2793.136 1.26 1.89 150.0 37 1.27 0.27 21.2 38 1.22 0.2621.239 1.29 0.27 21.2 40 1.16 0.37 32.0 41 1.63 1.3080.042 0.27 0.41 150.0 43 1.72 0.59 34.0 46 1.28 1.0280.053 1.21 0.26 21.2 54 1.54 0.34 22.2 63 1.89 0.6434.072 1.70 0.54 32.0 86 1.98 0.68 34.2 98 1.19 0.2521.299 1.30 0.28 21.2 100 1.17 0.25 21.2 104 0.94 1.00

106.0105 1.26 0.42 32.9 107 1.46 0.48 32.9 111 1.60 2.40

150.0112 1.33 0.16 12.2 119 1.86 1.55 83.0 120 1.94 2.91

150.0121 1.70 2.54 150.0 122 1.48 1.23 83.0 123 1.75 2.63

150.0124 1.90 2.84 150.0 126 1.44 1.18 82.0 128 1.61 1.1370.0129 1.48 1.04 70.0 130 1.41 2.12 150.0 131 1.50 2.26

150.0132 1.59 1.77 110.7 133 1.80 1.30 72.0 139 1.70 2.55

150.0140 1.30 1.89 144.9 141 1.51 0.50 32.9 142 1.29 0.4232.9143 1.07 0.35 32.9 145 1.72 1.64 94.9 146 1.44 0.8962.0152 1.32 0.28 21.2 176 1.27 0.27 21.2 177 1.24 0.2621.2178 1.25 0.26 21.2 179 1.22 0.26 21.2 181 1.28 0.2721.2186 1.25 0.27 21.2 188 1.52 1.80 118.0 189 1.77 2.65

150.0190 1.98 2.97 150.0 191 1.73 1.45 83.8 193 1.72 0.5532.0195 1.54 0.60 39.3 196 1.78 2.67 150.0 197 1.88 1.4678.0199 2.02 3.03 150.0 200 1.94 2.25 116.0 201 1.68 2.52

150.0202 1.53 0.52 34.0 203 1.24 0.26 21.2 207 1.77 2.66

150.0209 1.79 2.69 150.0 210 1.74 2.61 150.0 212 1.35 0.3224.0213 1.22 0.26 21.2 217 1.28 0.27 21.2 218 1.46 2.21

151.8219 1.50 2.28 151.8 220 1.39 0.18 12.9 221 1.59 2.41

151.8225 1.26 0.27 21.2 226 1.91 2.83 148.2 227 1.49 2.21

148.2228 1.67 2.47 148.2 238 1.23 0.26 21.2 243 1.54 2.30

150.0246 1.08 0.12 11.1 247 1.63 2.36 144.9 248 1.78 2.58

144.9249 1.52 1.71 112.9 252 1.76 2.65 150.0 253 1.53 2.30

150.0254 1.71 2.57 150.0 255 1.92 2.88 150.0 257 1.80 1.2167.0258 1.54 1.03 67.0 259 1.23 1.15 93.1 260 1.24 1.92

155.1261 1.49 1.38 93.1 262 1.51 1.66 110.0 263 1.25 0.7762.0265 1.40 1.83 131.0 266 1.40 1.11 78.7 267 1.23 1.62

131.0268 1.23 1.61 131.0

94 10 0.51 0.11 21.2 11 0.12 0.02 21.2 12 0.46 0.1021.219 0.46 0.10 21.2 20 0.52 0.11 21.2 26 0.46 0.2452.333 0.94 1.39 148.2 34 1.00 1.06 106.0 35 0.37 0.3593.136 0.27 0.41 150.0 37 0.50 0.11 21.2 38 0.13 0.0321.239 0.50 0.11 21.2 40 0.24 0.08 32.0 41 0.51 0.4180.042 0.33 0.50 150.0 43 0.97 0.33 34.0 46 0.50 0.4080.053 0.47 0.10 21.2 54 0.70 0.16 22.2 63 0.63 0.2234.072 0.63 0.20 32.0 86 1.05 0.36 34.2 98 0.38 0.0821.299 0.52 0.11 21.2 100 0.38 0.08 21.2 104 0.49 0.52

106.0105 0.18 0.06 32.9 107 0.44 0.14 32.9 111 0.83 1.24

150.0112 0.36 0.04 12.2 119 0.98 0.82 83.0 120 1.12 1.67

150.0121 0.87 1.31 150.0 122 0.68 0.56 83.0 123 0.87 1.31

150.0124 1.01 1.51 150.0 126 0.50 0.41 82.0 128 0.54 0.3870.0129 0.56 0.39 70.0 130 0.61 0.92 150.0 131 0.66 0.99

150.0132 0.81 0.90 110.7 133 1.06 0.76 72.0 139 0.77 1.16

150.0140 0.40 0.58 144.9 141 0.55 0.18 32.9 142 0.27 0.0932.9143 0.24 0.08 32.9 145 0.64 0.61 94.9 146 0.33 0.2162.0152 0.54 0.11 21.2 176 0.48 0.10 21.2 177 0.47 0.1021.2178 0.48 0.10 21.2 179 0.47 0.10 21.2 181 0.49 0.1021.2186 0.48 0.10 21.2 188 0.68 0.80 118.0 189 0.93 1.39

150.0190 1.14 1.71 150.0 191 0.89 0.74 83.8 193 0.97 0.3132.0195 0.62 0.24 39.3 196 1.05 1.57 150.0 197 1.12 0.8878.0_________________________________________________________________________________________________________________________

71

199 1.17 1.76 150.0 200 1.03 1.19 116.0 201 0.82 1.24150.0

202 0.62 0.21 34.0 203 0.47 0.10 21.2 207 0.85 1.27150.0

209 0.81 1.21 150.0 210 0.80 1.21 150.0 212 0.37 0.0924.0213 0.47 0.10 21.2 217 0.50 0.10 21.2 218 0.60 0.90

151.8219 0.77 1.17 151.8 220 0.18 0.02 12.9 221 0.64 0.98

151.8225 0.49 0.10 21.2 226 1.10 1.63 148.2 227 0.67 0.99

148.2228 0.87 1.29 148.2 238 0.47 0.10 21.2 243 0.57 0.86

150.0246 0.02 2.65e-03 11.1 247 0.76 1.10 144.9 248 0.77 1.11

144.9249 0.47 0.53 112.9 252 0.93 1.40 150.0 253 0.65 0.98

150.0254 0.85 1.27 150.0 255 1.08 1.62 150.0 257 0.95 0.6467.0258 0.67 0.45 67.0 259 0.33 0.31 93.1 260 0.34 0.53

155.1261 0.34 0.32 93.1 262 0.41 0.46 110.0 263 0.33 0.2062.0265 0.46 0.61 131.0 266 0.44 0.35 78.7 267 0.43 0.57

131.0268 0.42 0.55 131.0

95 10 1.17 0.25 21.2 11 0.66 0.14 21.2 12 1.10 0.2321.219 1.11 0.23 21.2 20 1.18 0.25 21.2 26 1.38 0.7252.333 1.79 2.66 148.2 34 1.54 1.63 106.0 35 1.16 1.0893.136 1.14 1.70 150.0 37 1.16 0.25 21.2 38 0.68 0.1421.239 1.17 0.25 21.2 40 1.06 0.34 32.0 41 1.59 1.2780.042 0.55 0.83 150.0 43 1.68 0.57 34.0 46 1.31 1.0480.053 1.10 0.23 21.2 54 1.48 0.33 22.2 63 1.61 0.5534.072 1.50 0.48 32.0 86 1.97 0.67 34.2 98 1.12 0.2421.299 1.18 0.25 21.2 100 1.10 0.23 21.2 104 0.72 0.76

106.0105 1.11 0.36 32.9 107 1.46 0.48 32.9 111 1.59 2.38

150.0112 1.32 0.16 12.2 119 1.65 1.37 83.0 120 1.63 2.45

150.0121 1.32 1.97 150.0 122 1.41 1.17 83.0 123 1.54 2.30

150.0124 1.57 2.36 150.0 126 1.22 1.00 82.0 128 1.54 1.0770.0129 1.59 1.11 70.0 130 1.20 1.81 150.0 131 1.56 2.34

150.0132 1.35 1.49 110.7 133 1.61 1.16 72.0 139 1.31 1.97

150.0140 1.10 1.59 144.9 141 1.50 0.49 32.9 142 1.32 0.4332.9143 0.93 0.30 32.9 145 1.56 1.48 94.9 146 1.36 0.8462.0152 1.19 0.25 21.2 176 1.15 0.24 21.2 177 1.14 0.2421.2178 1.11 0.24 21.2 179 1.10 0.23 21.2 181 1.16 0.2421.2186 1.15 0.24 21.2 188 1.39 1.64 118.0 189 1.34 2.01

150.0190 1.62 2.43 150.0 191 1.82 1.52 83.8 193 1.67 0.5332.0195 1.33 0.52 39.3 196 1.67 2.50 150.0 197 1.65 1.2978.0199 1.65 2.48 150.0 200 1.71 1.98 116.0 201 1.27 1.91

150.0202 1.29 0.44 34.0 203 1.11 0.24 21.2 207 1.49 2.24

150.0209 1.60 2.41 150.0 210 1.60 2.40 150.0 212 1.18 0.2824.0213 1.10 0.23 21.2 217 1.16 0.25 21.2 218 1.36 2.07

151.8219 1.29 1.96 151.8 220 1.39 0.18 12.9 221 1.58 2.39

151.8225 1.15 0.24 21.2 226 1.61 2.39 148.2 227 1.44 2.13

148.2228 1.30 1.93 148.2 238 1.11 0.24 21.2 243 1.27 1.91

150.0246 0.98 0.11 11.1 247 1.50 2.17 144.9 248 1.54 2.23

144.9249 1.20 1.36 112.9 252 1.59 2.39 150.0 253 1.32 1.97

150.0254 1.33 2.00 150.0 255 1.61 2.41 150.0 257 1.61 1.0867.0258 1.30 0.87 67.0 259 1.20 1.11 93.1 260 1.11 1.73

155.1261 1.39 1.30 93.1 262 1.41 1.55 110.0 263 1.11 0.6962.0265 1.31 1.72 131.0 266 1.40 1.10 78.7 267 1.10 1.45

131.0268 1.18 1.55 131.0

96 10 0.45 0.10 21.2 11 0.20 0.04 21.2 12 0.28 0.0621.219 0.25 0.05 21.2 20 0.44 0.09 21.2 26 0.35 0.1952.333 1.00 1.49 148.2 34 0.66 0.70 106.0 35 0.32 0.3093.136 0.59 0.88 150.0 37 0.44 0.09 21.2 38 0.17 0.0421.239 0.43 0.09 21.2 40 0.37 0.12 32.0 41 0.84 0.6880.042 0.83 1.24 150.0 43 0.85 0.29 34.0 46 0.80 0.6480.053 0.43 0.09 21.2 54 0.48 0.11 22.2 63 0.62 0.2134.072 0.65 0.21 32.0 86 0.87 0.30 34.2 98 0.44 0.0921.299 0.46 0.10 21.2 100 0.46 0.10 21.2 104 0.43 0.46

106.0105 0.41 0.14 32.9 107 0.28 0.09 32.9 111 1.01 1.51

_________________________________________________________________________________________________________________________

72

150.0112 0.28 0.03 12.2 119 1.04 0.87 83.0 120 0.80 1.21

150.0121 0.54 0.82 150.0 122 0.78 0.64 83.0 123 0.88 1.32

150.0124 0.74 1.10 150.0 126 0.55 0.45 82.0 128 0.76 0.5370.0129 0.64 0.45 70.0 130 0.43 0.64 150.0 131 0.96 1.44

150.0132 0.56 0.62 110.7 133 0.84 0.60 72.0 139 0.48 0.72

150.0140 0.75 1.08 144.9 141 0.28 0.09 32.9 142 0.15 0.0532.9143 0.48 0.16 32.9 145 0.54 0.51 94.9 146 0.33 0.2062.0152 0.45 0.10 21.2 176 0.41 0.09 21.2 177 0.42 0.0921.2178 0.41 0.09 21.2 179 0.42 0.09 21.2 181 0.42 0.0921.2186 0.43 0.09 21.2 188 0.73 0.86 118.0 189 0.56 0.84

150.0190 0.79 1.18 150.0 191 0.87 0.73 83.8 193 0.90 0.2932.0195 0.58 0.23 39.3 196 1.20 1.80 150.0 197 0.88 0.6978.0199 0.85 1.27 150.0 200 0.92 1.07 116.0 201 0.47 0.71

150.0202 0.71 0.24 34.0 203 0.41 0.09 21.2 207 0.67 1.01

150.0209 0.72 1.08 150.0 210 0.86 1.29 150.0 212 0.47 0.1124.0213 0.43 0.09 21.2 217 0.42 0.09 21.2 218 0.63 0.95

151.8219 0.47 0.72 151.8 220 0.13 0.02 12.9 221 0.67 1.01

151.8225 0.44 0.09 21.2 226 0.78 1.16 148.2 227 0.88 1.30

148.2228 0.54 0.80 148.2 238 0.41 0.09 21.2 243 0.68 1.01

150.0246 0.27 0.03 11.1 247 0.90 1.31 144.9 248 0.68 0.99

144.9249 0.42 0.47 112.9 252 0.90 1.35 150.0 253 0.69 1.04

150.0254 0.52 0.79 150.0 255 0.78 1.17 150.0 257 0.83 0.5667.0258 0.60 0.40 67.0 259 0.56 0.52 93.1 260 0.26 0.41

155.1261 0.62 0.58 93.1 262 0.41 0.45 110.0 263 0.30 0.1862.0265 0.37 0.49 131.0 266 0.35 0.28 78.7 267 0.34 0.45

131.0268 0.32 0.41 131.0

97 10 1.32 0.28 21.2 11 1.63 0.35 21.2 12 1.23 0.2621.219 1.26 0.27 21.2 20 1.34 0.28 21.2 26 1.43 0.7452.333 1.77 2.62 148.2 34 1.76 1.86 106.0 35 1.34 1.2593.136 1.24 1.86 150.0 37 1.31 0.28 21.2 38 1.65 0.3521.239 1.33 0.28 21.2 40 1.17 0.37 32.0 41 1.65 1.3280.042 0.27 0.40 150.0 43 1.76 0.60 34.0 46 1.23 0.9980.053 1.24 0.26 21.2 54 1.57 0.35 22.2 63 1.85 0.6334.072 1.74 0.56 32.0 86 2.01 0.69 34.2 98 1.16 0.2521.299 1.34 0.28 21.2 100 1.14 0.24 21.2 104 0.96 1.02

106.0105 1.27 0.42 32.9 107 1.48 0.49 32.9 111 1.63 2.45

150.0112 1.36 0.17 12.2 119 1.89 1.57 83.0 120 1.99 2.98

150.0121 1.68 2.51 150.0 122 1.44 1.20 83.0 123 1.78 2.67

150.0124 1.93 2.90 150.0 126 1.41 1.16 82.0 128 1.63 1.1470.0129 1.43 1.00 70.0 130 1.36 2.05 150.0 131 1.46 2.18

150.0132 1.55 1.72 110.7 133 1.84 1.33 72.0 139 1.69 2.53

150.0140 1.28 1.86 144.9 141 1.53 0.50 32.9 142 1.31 0.4332.9143 1.06 0.35 32.9 145 1.75 1.66 94.9 146 1.46 0.9162.0152 1.36 0.29 21.2 176 1.31 0.28 21.2 177 1.28 0.2721.2178 1.27 0.27 21.2 179 1.24 0.26 21.2 181 1.32 0.2821.2186 1.29 0.27 21.2 188 1.47 1.73 118.0 189 1.73 2.60

150.0190 2.02 3.03 150.0 191 1.76 1.48 83.8 193 1.76 0.5632.0195 1.50 0.59 39.3 196 1.81 2.72 150.0 197 1.91 1.4978.0199 2.06 3.09 150.0 200 1.97 2.28 116.0 201 1.67 2.51

150.0202 1.44 0.49 34.0 203 1.27 0.27 21.2 207 1.80 2.71

150.0209 1.82 2.74 150.0 210 1.77 2.65 150.0 212 1.34 0.3224.0213 1.24 0.26 21.2 217 1.32 0.28 21.2 218 1.41 2.14

151.8219 1.46 2.22 151.8 220 1.42 0.18 12.9 221 1.62 2.46

151.8225 1.30 0.28 21.2 226 1.95 2.89 148.2 227 1.44 2.14

148.2228 1.64 2.43 148.2 238 1.26 0.27 21.2 243 1.51 2.26

150.0246 1.06 0.12 11.1 247 1.65 2.40 144.9 248 1.82 2.63

144.9249 1.51 1.71 112.9 252 1.80 2.70 150.0 253 1.50 2.25

150.0

_________________________________________________________________________________________________________________________

73

254 1.70 2.55 150.0 255 1.97 2.95 150.0 257 1.84 1.2367.0258 1.51 1.01 67.0 259 1.21 1.13 93.1 260 1.23 1.90

155.1261 1.51 1.40 93.1 262 1.53 1.69 110.0 263 1.23 0.7662.0265 1.43 1.87 131.0 266 1.43 1.13 78.7 267 1.22 1.60

131.0268 1.22 1.60 131.0

Cmb 1000 etaT/h2.25

_________________________________________________________________________________________________________________________

74

3.15 Verifiche per elementi in acciaio Il programma consente la verifica dei seguenti tipi di elementi:

1. aste 2. travi 3. pilastri

L’esito delle verifiche è espresso con un codice come di seguito indicato

Ok: verifica con esito positivo

NV: verifica con esito negativo

Nr: verifica non richiesta.

Per comodità gli elementi vengono raggruppati in tabelle in relazione al tipo.

Ai fini delle verifiche (come da D.M. 14 Gennaio 2008 e circ. 2 Febbraio 2009 n.617) i tipi elementi differiscono per i seguenti aspetti:

Verifica Aste Travi Pilastri

4.2.3.1 Classificazione X X X

4.2.4.1.2 Trazione, Compressione X X X

Taglio, Torsione X X

Flessione,taglio e forza assiale X X

4.2.4.1.3.1 Aste compresse X X X

4.2.4.1.3.2 Instabilità flesso-torsionale X X

4.2.4.1.3.3 Membrature inflesse e compresse X X

Ai fini delle verifiche per strutture dissipative (come da D.M. 14 Gennaio 2008 e circ. 2 Febbraio 2009 n.617 per strutture intelaiate e a controventi concentrici) si considerano le verifiche del capitolo4 con azioni amplificate e le verifiche del capitolo 7:

Verifica Travi Pilastri

4.2.4.1.2 Trazione, Compressione X X

Taglio, Torsione X


4.2.4.1.3.1 Aste compresse X X

4.2.4.1.3.2 Instabilità flesso-torsionale X

7.5.3 Sfruttamento per momento X

7.5.4 Sfruttamento per sforzo normale X

7.5.5 Sfruttamento per taglio da capacità flessionale X

7.5.9 Sfruttamento per taglio amplificato X

Viene inoltre riportata la verifica del par. 7.5.4.3 Gerarchia delle resistenze trave-colonna per ogni colonna, considerando piede e testa in entrambe le direzioni globali X e Y.

L’ insieme delle verifiche sopra riportate è condotto sugli elementi purché dotati di sezione idonea come da tabella seguente:

Azione SEZIONI GENERICHE PROFILISEMPLICI

PROFILI ACCOPPIATI

4.2.3.1 Classificazione automatica L, doppio T, C, rettangolare cava,circolare cava

Tutti Da profilo semplice

4.2.3.1 Classificazione di default 2 Circolare

4.2.3.1 Classificazione di default 3 restanti

4.2.4.1.2 Trazione si si si

_________________________________________________________________________________________________________________________

75

4.2.4.1.2 Compressione si si si

4.2.4.1.2 Taglio, Torsione si si si

4.2.4.1.2 Flessione,taglio e forza assiale si si si

4.2.4.1.3.1 Aste compresse si si per elementi ravvicinati e a croce o coppie calastrellate

4.2.4.1.3.2 Travi inflesse doppio T simmetrica doppio T no

Le verifiche sono riportate in tabelle con il significato sotto indicato; le verifiche sono espresse dal rapporto tra l’ azione di progetto e la capacità ultima, pertanto la verifica ha esito positivo perrapporti non superiori all’ unità.

Asta Trave Pilastro numero dell’elemento

Stato codice di verifica per resistenza, stabilità, svergolamento

Note sezione e materiali adottati per l’elemento

V N (ASTE) verifica come da par. 4.2.4.1.2 per punto (4.2.6) e (4.2.10)

V V/T (TRAVI E PILASTRI) verifica di resistenza come da par. 4.2.4.1.2 per azioni taglio-torsione (4.2.17 e 4.2.29)

V N/M (TRAVI E PILASTRI) verifica di resistenza come da par. 4.2.4.1.2 per azioni composte (4.2.34) con riduzione per taglio (4.2.41) ove richiesto

N M3 M2 V2 V3 T sollecitazioni di interesse per la verifica

V stab (ASTE) verifica come da par. 4.2.4.1.3 per punto (4.2.42)

V stab (TRAVI E PILASTRI) verifica come da par. 4.2.4.1.3 per punti (C4.2.32) o (C4.2.36) (membrature inflesse e compresse senza/con presenza di instabilitàflesso-torsionale

BetaxL B22xL B33xL lunghezze libere di inflessione (se indicato riferiti al piano di normale 22 o 33 rispettivamente)

Snellezza snellezza massima

Classe classe del profilo

Chi mn coefficiente di riduzione (della capacità) per la modalità di instabilità pertinente

Rif. cmb combinazioni in cui si sono rispettivamente attinti i valori di verifica più elevati

V flst (TRAVI E PILASTRI) verifica di stabilità come da par. 4.2.4.1.3.2 per punto (4.2.49)

B1-1 x L Beta1-1 x L: interasse tra i ritegni torsionali

Chi LT coefficiente di riduzione (della capacità) per la modalità di instabilità flesso-torsionale

Snell adim Valore della snellezza adimensionale, utilizzato per il controllo previsto al par. 7.5.5

v.Omeg Valore del rapporto capacità/domanda per l' azione di interesse (momento per travi e azione assiale per aste) utilizzato per l' amplificazione delle azioni

f.Om. N Fattore di amplificazione delle azioni assiali per travi e colonne (prodotto di 1.1 x Omega x gamma rd materiale); utilizzato come specificato al par. 7.5.5

f.Om. TFattore di amplificazione delle azioni (assiali, flettenti e taglianti) per colonne (prodotto di 1.1 x Omega x gamma rd materiale); utilizzato come specificato alpar. 7.5.4

V.7.5.3 M Ed Verifica come prevista al punto 7.5.3 e valore dell' azione flettente

V.7.5.4 N Ed Verifica come prevista al punto 7.5.4 e valore dell' azione assiale

V.7.5.5 V Ed,G V Ed,M Verifica come prevista al punto 7.5.5 e valore dei tagli dovuti ai carichi e alla capacità

V.7.5.9 V Ed Verifica come prevista al punto 7.5.9 e valore dell' azione di taglio

sovr. Xi (Xf, Yi, Yf) Valore della sovraresistenza come prevista al par. 7.5.4.3 (i valori non sono normalizzati pertanto saranno maggiori uguali a gamma rd classe di duttilità)

Trave Stato Note V V/T V N/M V stab Cl. LamS 22 LamS 33 Snell. Chi mn V flst LamS LT Chi LT Rif. cmb

1 ok s=2,m=11 0.26 0.58 1 0.57 2.73e-02 1.0064,64,0,64

2 ok s=2,m=11 0.25 0.54 1 0.50 0.1 1.0064,48,0,64

3 ok s=2,m=11 0.26 0.03 1 0.03 9.12e-03 1.0064,64,0,64

4 ok s=2,m=11 0.23 0.65 1 0.54 2.73e-02 1.0055,55,0,55

_________________________________________________________________________________________________________________________

76

5 ok s=2,m=11 0.25 0.55 1 0.48 0.1 1.0055,55,0,55

6 ok s=2,m=11 0.26 0.03 1 0.03 9.12e-03 1.0055,55,0,55

7 ok s=2,m=11 0.12 0.29 1 0.29 2.73e-02 1.0046,42,0,42

8 ok s=2,m=11 0.13 0.27 1 0.26 0.1 1.0042,34,0,42

9 ok s=2,m=11 0.13 0.02 1 0.02 9.12e-03 1.0042,42,0,42

13 ok s=2,m=11 0.08 0.28 1 0.27 0.1 1.0044,45,0,45

14 ok s=1,m=11 0.02 0.14 1 1,58,0,015 ok s=1,m=11 0.02 0.14 1 1,58,0,016 ok s=2,m=11 0.08 0.18 1 0.16 0.1 1.00

45,45,0,4517 ok s=2,m=11 0.09 0.01 1 0.01 9.12e-03 1.00

45,45,0,4518 ok s=2,m=11 0.06 0.09 1 0.07 0.2 1.00 1,37,0,121 ok s=1,m=11 0.08 0.28 1

61,41,0,022 ok s=2,m=11 0.03 0.12 1 0.10 0.3 1.00

57,57,0,6523 ok s=2,m=11 0.12 0.01 1 0.01 6.58e-03 1.00

53,53,0,5324 ok s=1,m=11 0.07 0.31 1

59,61,0,025 ok s=2,m=11 0.11 0.35 1 0.34 0.1 1.00

53,53,0,5327 ok s=1,m=11 0.05 0.16 1 5,34,0,028 ok s=1,m=11 0.08 0.04 1

34,53,0,029 ok s=1,m=11 0.05 0.32 1

57,60,0,030 ok s=2,m=11 0.11 0.22 1 0.20 0.1 1.00

53,53,0,5331 ok s=1,m=11 0.06 0.26 1

57,59,0,032 ok s=2,m=11 0.20 0.03 1 0.03 9.12e-03 1.00

44,56,0,5644 ok s=2,m=11 0.15 0.61 1 0.53 0.3 1.00

53,53,0,5345 ok s=2,m=11 0.10 0.34 1 0.34 0.1 1.00

49,49,0,4947 ok s=2,m=11 0.25 0.61 1 0.56 0.2 1.00

55,55,0,5548 ok s=2,m=11 0.25 0.52 1 0.49 0.1 1.00

55,55,0,5549 ok s=2,m=11 0.26 0.03 1 0.03 9.12e-03 1.00

55,55,0,5550 ok s=2,m=11 0.13 0.31 1 0.31 2.73e-02 1.00

46,42,0,4251 ok s=2,m=11 0.14 0.28 1 0.27 0.1 1.00

42,34,0,4252 ok s=2,m=11 0.14 0.02 1 0.02 9.12e-03 1.00

42,42,0,4255 ok s=2,m=11 0.03 0.12 1 0.07 0.3 1.00

4,40,0,4856 ok s=1,m=11 0.05 0.19 1

53,50,0,057 ok s=1,m=11 0.09 0.08 1

55,42,0,058 ok s=1,m=11 0.08 0.08 1

53,47,0,059 ok s=1,m=11 0.06 0.18 1

53,53,0,060 ok s=1,m=11 0.05 0.23 1

45,49,0,061 ok s=1,m=11 0.08 0.10 1

48,62,0,062 ok s=1,m=11 0.07 0.18 1

57,65,0,064 ok s=2,m=11 0.10 0.22 1 0.20 0.1 1.00

44,41,0,4465 ok s=2,m=11 0.11 0.01 1 0.01 9.12e-03 1.00

49,49,0,4966 ok s=1,m=11 0.06 0.18 1

57,61,0,067 ok s=2,m=11 0.20 0.53 1 0.45 2.73e-02 1.00

50,50,0,5068 ok s=2,m=11 0.17 0.34 1 0.33 0.1 1.00

53,37,0,5369 ok s=2,m=11 0.17 0.02 1 0.02 9.12e-03 1.00

53,53,0,5370 ok s=2,m=11 0.11 0.39 1 0.38 0.1 1.00

37,37,0,3771 ok s=2,m=11 0.11 0.39 1 0.37 0.1 1.00

49,45,0,4573 ok s=2,m=11 0.19 0.47 1 0.46 2.74e-02 1.00

63,55,0,55

_________________________________________________________________________________________________________________________

77

74 ok s=2,m=11 0.21 0.43 1 0.41 0.1 1.0055,55,0,55

75 ok s=2,m=11 0.21 0.03 1 0.03 9.12e-03 1.0055,55,0,55

76 ok s=2,m=11 0.16 0.35 1 0.35 2.73e-02 1.0046,42,0,42

77 ok s=2,m=11 0.15 0.31 1 0.30 0.1 1.0042,34,0,42

78 ok s=2,m=11 0.16 0.02 1 0.02 9.12e-03 1.0042,42,0,42

79 ok s=1,m=11 0.06 0.13 0.13 1 0.9 0.5 77.0 0.7453,51,51,0

80 ok s=1,m=11 0.08 0.08 153,54,0,0

81 ok s=2,m=11 0.05 0.19 1 0.14 0.2 1.0060,58,0,58

82 ok s=2,m=11 9.14e-03 0.09 1 0.02 0.3 1.0011,11,0,783 ok s=2,m=11 0.08 0.23 1 0.17 0.2 1.00

53,37,0,5384 ok s=2,m=11 0.06 0.14 1 0.13 0.2 1.00

53,55,0,5385 ok s=2,m=11 0.07 0.19 1 0.16 0.2 1.00

53,53,0,5387 ok s=2,m=11 0.20 0.47 1 0.46 2.74e-02 1.00

50,50,0,5088 ok s=2,m=11 0.21 0.42 1 0.41 0.1 1.00

50,58,0,5089 ok s=2,m=11 0.21 0.03 1 0.03 9.12e-03 1.00

50,50,0,5090 ok s=2,m=11 0.26 0.57 1 0.56 2.73e-02 1.00

64,64,0,6491 ok s=2,m=11 0.25 0.51 1 0.48 0.1 1.00

64,64,0,6492 ok s=2,m=11 0.26 0.03 1 0.03 9.12e-03 1.00

64,64,0,6493 ok s=1,m=11 0.03 0.37 0.33 1 1.0 0.6 89.8 0.64

45,49,46,094 ok s=1,m=11 0.05 0.15 1

37,48,0,095 ok s=1,m=11 0.08 0.08 1

57,61,0,096 ok s=2,m=11 0.10 0.21 1 0.19 0.1 1.00

45,49,0,4497 ok s=2,m=11 0.10 0.01 1 0.01 9.12e-03 1.00

45,49,0,45101 ok s=1,m=11 0.05 0.21 1 5,37,0,0102 ok s=1,m=11 0.08 0.05 1

34,53,0,0103 ok s=2,m=11 0.04 0.06 1 0.06 0.2 1.00

15,15,0,15106 ok s=2,m=11 0.05 0.20 1 0.18 0.3 1.00

49,49,0,49108 ok s=1,m=11 0.07 0.22 1

57,65,0,0109 ok s=2,m=11 0.16 0.34 1 0.29 0.1 1.00

53,37,0,53110 ok s=2,m=11 0.16 0.02 1 0.02 9.12e-03 1.00

53,53,0,53113 ok s=2,m=11 0.14 0.58 1 0.48 0.1 1.00

37,37,0,53114 ok s=2,m=11 0.10 0.33 1 0.33 0.1 1.00

49,45,0,45115 ok s=1,m=11 0.04 0.22 1

45,41,0,0116 ok s=1,m=11 0.08 0.10 1

48,58,0,0117 ok s=1,m=11 0.04 0.37 0.37 1 1.0 0.6 89.8 0.64

45,49,46,0118 ok s=1,m=11 0.05 0.12 1

45,48,0,0125 ok s=2,m=11 0.08 0.21 1 0.19 0.2 1.00

59,65,0,60127 ok s=2,m=11 0.04 0.18 1 0.12 0.3 1.00

49,49,0,49134 ok s=2,m=11 0.22 0.43 1 0.43 0.1 1.00

50,50,0,50135 ok s=1,m=11 0.05 0.17 1

53,55,0,0136 ok s=2,m=11 0.06 0.14 1 0.13 0.2 1.00

51,51,0,51137 ok s=2,m=11 0.05 0.21 1 0.15 0.3 1.00

50,50,0,50138 ok s=1,m=11 0.06 0.22 1

57,65,0,0144 ok s=2,m=11 0.03 0.11 1 0.07 0.2 1.00

53,57,0,53147 ok s=2,m=11 0.23 0.39 1 0.39 2.72e-02 1.00

43,42,0,42148 ok s=2,m=11 0.18 0.41 1 0.34 0.1 1.00

42,37,0,42

_________________________________________________________________________________________________________________________

78

149 ok s=2,m=11 0.18 0.02 1 0.02 9.12e-03 1.0042,42,0,42

150 ok s=2,m=11 6.65e-03 0.06 1 0.02 0.3 1.0043,9,0,43

151 ok s=2,m=11 0.06 0.14 1 0.13 0.2 1.0053,53,0,53

153 ok s=2,m=11 0.23 0.03 1 0.03 9.12e-03 1.0050,50,0,50

154 ok s=1,m=11 0.03 0.48 0.47 1 0.9 0.5 77.0 0.7449,53,53,0

155 ok s=1,m=11 0.04 0.34 145,45,0,0

156 ok s=2,m=11 0.20 0.50 1 0.48 2.74e-02 1.0050,50,0,50

157 ok s=1,m=11 0.05 0.14 137,50,0,0

158 ok s=1,m=11 0.03 0.19 0.18 1 1.0 0.6 90.6 0.6445,34,34,0

159 ok s=1,m=11 0.06 0.13 157,53,0,0

160 ok s=2,m=11 0.11 0.25 1 0.21 0.1 1.0044,41,0,45

161 ok s=2,m=11 0.12 0.01 1 0.01 9.12e-03 1.0045,45,0,45

162 ok s=2,m=11 0.07 0.17 1 0.15 0.2 1.0053,55,0,53

163 ok s=1,m=11 0.05 0.20 1 5,34,0,0164 ok s=1,m=11 0.09 0.05 1

50,13,0,0165 ok s=2,m=11 0.02 0.07 1 0.04 0.2 1.00

59,47,0,59166 ok s=2,m=11 0.04 0.13 1 0.10 0.2 1.00

53,53,0,53167 ok s=2,m=11 0.06 0.17 1 0.14 0.2 1.00

53,53,0,53168 ok s=1,m=11 0.06 0.09 1

57,61,0,0169 ok s=2,m=11 0.21 0.03 1 0.03 9.12e-03 1.00

50,50,0,50170 ok s=2,m=11 0.18 0.44 1 0.43 2.73e-02 1.00

64,64,0,64171 ok s=2,m=11 0.11 0.26 1 0.22 0.1 1.00

37,65,0,37172 ok s=2,m=11 0.12 0.02 1 0.02 9.12e-03 1.00

37,37,0,37173 ok s=2,m=11 0.19 0.40 1 0.38 0.1 1.00

64,48,0,64174 ok s=1,m=11 0.06 0.10 1

57,61,0,0175 ok s=2,m=11 0.20 0.44 1 0.39 0.1 1.00

50,50,0,50180 ok s=2,m=11 0.08 0.19 1 0.18 0.2 1.00

59,59,0,59182 ok s=2,m=11 0.02 0.12 1 0.08 0.3 1.00

49,41,0,49183 ok s=2,m=11 0.01 0.09 1 0.01 0.3 1.00

10,11,0,53184 ok s=2,m=11 0.08 0.22 1 0.21 0.3 1.00

39,39,0,39185 ok s=2,m=11 0.06 0.18 1 0.14 0.2 1.00

61,61,0,61187 ok s=2,m=11 0.05 0.24 1 0.15 0.3 1.00

46,46,0,46192 ok s=2,m=11 0.14 0.19 1 0.18 0.2 1.00 7,8,0,8194 ok s=2,m=11 0.04 0.25 1 0.21 0.4 1.00

59,55,0,55198 ok s=2,m=11 0.09 0.25 1 0.21 0.2 1.00

60,59,0,60204 ok s=2,m=11 0.06 0.23 1 0.18 0.3 1.00

46,46,0,46205 ok s=2,m=11 0.09 0.24 1 0.20 0.2 1.00

60,59,0,60206 ok s=2,m=11 0.06 0.31 1 0.24 0.3 1.00

61,65,0,65208 ok s=2,m=11 0.13 0.19 1 0.18 0.3 1.00 5,8,0,8211 ok s=2,m=11 0.05 0.19 1 0.14 0.3 1.00

40,41,0,41214 ok s=2,m=11 0.04 0.13 1 0.11 0.3 1.00

49,64,0,48215 ok s=2,m=11 0.02 0.08 1 0.06 0.3 1.00

46,62,0,46216 ok s=2,m=11 0.06 0.18 1 0.17 0.3 1.00

39,39,0,39222 ok s=2,m=11 0.06 0.17 1 0.15 0.2 1.00

59,65,0,60223 ok s=2,m=11 0.06 0.21 1 0.19 0.3 1.00

46,43,0,46224 ok s=2,m=11 0.09 0.37 1 0.31 0.3 1.00

59,65,0,65229 ok s=2,m=11 0.08 0.20 1 0.17 0.2 1.00

_________________________________________________________________________________________________________________________

79

59,59,0,59230 ok s=2,m=11 0.04 0.11 1 0.09 0.2 1.00

59,60,0,59231 ok s=2,m=11 0.02 0.09 1 0.05 0.4 1.00

9,46,0,49232 ok s=2,m=11 0.02 0.11 1 0.03 0.4 1.00

37,37,0,37233 ok s=2,m=11 0.07 0.23 1 0.20 0.3 1.00

46,46,0,46234 ok s=2,m=11 0.06 0.32 1 0.27 0.3 1.00

51,55,0,55235 ok s=2,m=11 0.06 0.22 1 0.17 0.3 1.00

49,49,0,49236 ok s=2,m=11 0.01 0.09 1 0.01 0.3 1.00

9,12,0,43237 ok s=2,m=11 0.05 0.06 1 0.06 0.2 1.00

13,15,0,15239 ok s=2,m=11 0.07 0.18 1 0.16 0.2 1.00

60,59,0,60240 ok s=2,m=11 0.05 0.16 1 0.14 0.3 1.00

39,39,0,39241 ok s=2,m=11 0.07 0.19 1 0.19 0.3 1.00

49,46,0,49242 ok s=2,m=11 0.07 0.16 1 0.15 0.2 1.00

58,61,0,58244 ok s=2,m=11 0.06 0.18 1 0.18 0.3 1.00

39,39,0,39245 ok s=2,m=11 0.06 0.20 1 0.18 0.3 1.00

49,49,0,49250 ok s=1,m=11 0.08 0.20 1

53,43,0,0251 ok s=2,m=11 0.06 0.15 1 0.13 0.2 1.00

60,60,0,60256 ok s=2,m=11 0.06 0.17 1 0.17 0.3 1.00

39,40,0,40264 ok s=2,m=11 0.03 0.09 1 0.09 0.3 1.00

39,39,0,39269 ok s=2,m=11 0.03 0.13 1 0.09 0.3 1.00

61,61,0,61270 ok s=2,m=11 0.02 0.18 1 0.09 0.3 1.00

37,37,0,37271 ok s=2,m=11 0.13 0.12 1 0.12 0.3 1.00 5,5,0,5

Trave V V/T V N/M V stab LamS 22 LamS 33 Snell. Chi mn V flst LamS LT Chi LT0.64 1.00

0.26 0.65 0.47 1.04 0.60 90.56 0.57 0.38

Pilas. Stato Note V V/T V N/M V stab Cl. LamS 22 LamS 33 Snell. Chi mn V flst LamS LT Chi LT Rif. cmb

10 ok s=2,m=11 0.02 0.02 1 0.01 4.69e-02 1.0059,59,0,59

11 ok s=2,m=11 0.02 0.02 1 0.01 4.64e-02 1.0047,47,0,47

12 ok s=2,m=11 5.33e-03 8.32e-03 1 3.91e-03 4.73e-02 1.0063,40,0,43

19 ok s=2,m=11 4.33e-03 8.28e-03 1 3.38e-03 4.82e-02 1.0053,11,0,53

20 ok s=2,m=11 0.02 0.02 1 0.02 4.64e-02 1.0060,60,0,60

26 ok s=2,m=11 0.07 0.38 1 0.04 0.1 1.0041,53,0,13

33 ok s=2,m=11 0.05 0.42 1 0.13 0.2 1.0060,40,0,64

34 ok s=2,m=11 0.08 0.53 1 0.17 0.2 1.0064,44,0,64

35 ok s=2,m=11 0.10 0.32 1 0.25 0.2 1.0050,50,0,50

36 ok s=2,m=11 0.03 0.21 1 0.06 0.2 1.0062,37,0,62

37 ok s=2,m=11 2.41e-03 8.15e-03 1 3.19e-03 5.03e-02 1.0058,61,0,59

38 ok s=2,m=11 0.01 0.01 1 0.01 4.79e-02 1.0065,11,0,63

39 ok s=2,m=11 5.03e-03 9.55e-03 1 4.31e-03 4.76e-02 1.0060,60,0,60

40 ok s=2,m=11 0.07 0.31 1 0.16 7.73e-02 1.0050,34,0,50

41 ok s=2,m=11 0.03 0.25 1 0.07 0.2 1.0048,39,0,48

42 ok s=2,m=11 0.07 0.36 1 0.17 0.2 1.0055,39,0,55

43 ok s=2,m=11 0.04 0.41 1 0.09 8.16e-02 1.0063,37,0,60

46 ok s=2,m=11 0.04 0.26 1 0.12 0.2 1.0053,40,0,53

53 ok s=2,m=11 5.51e-03 5.65e-03 1 2.02e-03 3.91e-02 1.0060,60,0,59

54 ok s=2,m=11 0.14 0.49 1 0.14 5.28e-02 1.00

_________________________________________________________________________________________________________________________

80

40,48,0,4463 ok s=2,m=11 0.07 0.51 1 0.06 6.73e-02 1.00

55,55,0,5372 ok s=2,m=11 0.03 0.44 1 0.07 8.34e-02 1.00

55,63,0,5386 ok s=2,m=11 0.11 0.39 1 0.05 6.18e-02 1.00

49,37,0,5998 ok s=2,m=11 0.05 0.02 1 0.02 3.81e-02 1.00

63,63,0,6399 ok s=2,m=11 0.05 0.03 1 0.02 3.83e-02 1.00

59,59,0,59100 ok s=2,m=11 0.05 0.04 1 0.02 3.80e-02 1.00

63,47,0,63104 ok s=2,m=11 0.08 0.59 1 0.17 0.2 1.00

43,42,0,55105 ok s=2,m=11 0.11 0.42 1 0.21 7.81e-02 1.00

50,42,0,50107 ok s=2,m=11 0.11 0.39 1 0.26 7.99e-02 1.00

64,48,0,64111 ok s=2,m=11 0.08 0.41 1 0.18 0.2 1.00

60,39,0,60112 ok s=2,m=11 0.24 0.44 1 0.13 3.13e-02 1.00

60,48,0,44119 ok s=2,m=11 0.04 0.32 1 0.08 0.2 1.00

61,40,0,61120 ok s=2,m=11 0.04 0.25 1 0.09 0.2 1.00

60,49,0,60121 ok s=2,m=11 0.03 0.23 1 0.07 0.2 1.00

50,38,0,50122 ok s=2,m=11 0.03 0.27 1 0.07 0.2 1.00

53,39,0,53123 ok s=2,m=11 0.03 0.20 1 0.07 0.2 1.00

58,53,0,58124 ok s=2,m=11 0.03 0.25 1 0.08 0.2 1.00

60,49,0,60126 ok s=2,m=11 0.05 0.56 1 0.05 0.2 1.00

63,55,0,53128 ok s=2,m=11 0.03 0.21 1 0.07 0.1 1.00

48,41,0,48129 ok s=2,m=11 0.04 0.26 1 0.07 0.1 1.00

53,59,0,61130 ok s=2,m=11 0.06 0.23 1 0.18 0.2 1.00

50,50,0,50131 ok s=2,m=11 0.04 0.36 1 0.09 0.2 1.00

53,63,0,53132 ok s=2,m=11 0.05 0.38 1 0.11 0.2 1.00

53,34,0,53133 ok s=2,m=11 0.04 0.33 1 0.10 0.2 1.00

48,49,0,60139 ok s=2,m=11 0.03 0.19 1 0.07 0.2 1.00

51,65,0,51140 ok s=2,m=11 0.02 0.31 1 0.04 0.2 1.00

50,63,0,50141 ok s=2,m=11 0.14 0.48 1 0.26 7.70e-02 1.00

64,45,0,64142 ok s=2,m=11 0.08 0.34 1 0.20 8.05e-02 1.00

60,48,0,44143 ok s=2,m=11 0.18 0.39 1 0.17 6.84e-02 1.00

53,42,0,50145 ok s=2,m=11 0.14 0.37 1 0.31 0.2 1.00

64,64,0,64146 ok s=2,m=11 0.03 0.10 1 0.06 0.1 1.00

44,64,0,44152 ok s=2,m=11 0.06 0.03 1 0.03 3.79e-02 1.00

60,60,0,60176 ok s=2,m=11 4.59e-03 4.03e-03 1 1.60e-03 3.65e-02 1.00

59,60,0,60177 ok s=2,m=11 6.18e-03 6.19e-03 1 2.70e-03 3.85e-02 1.00

59,59,0,59178 ok s=2,m=11 6.03e-03 6.25e-03 1 2.70e-03 3.94e-02 1.00

59,63,0,63179 ok s=2,m=11 4.77e-03 4.74e-03 1 1.74e-03 5.07e-02 1.00

59,11,0,11181 ok s=2,m=11 4.63e-03 4.48e-03 1 1.61e-03 3.78e-02 1.00

59,60,0,40186 ok s=2,m=11 6.23e-03 5.85e-03 1 2.39e-03 3.67e-02 1.00

59,59,0,59188 ok s=2,m=11 0.05 0.46 1 0.11 0.2 1.00

53,63,0,53189 ok s=2,m=11 0.04 0.39 1 0.09 0.2 1.00

53,38,0,53190 ok s=2,m=11 0.05 0.37 1 0.14 0.2 1.00

60,48,0,60191 ok s=2,m=11 0.04 0.42 1 0.12 0.2 1.00

64,37,0,64193 ok s=2,m=11 0.07 0.31 1 0.11 7.34e-02 1.00

59,37,0,59195 ok s=2,m=11 0.04 0.34 1 0.07 9.91e-02 1.00

53,34,0,53196 ok s=2,m=11 0.05 0.29 1 0.11 0.2 1.00

_________________________________________________________________________________________________________________________

81

60,40,0,60197 ok s=2,m=11 0.07 0.39 1 0.12 0.1 1.00

60,49,0,60199 ok s=2,m=11 0.04 0.30 1 0.10 0.2 1.00

58,49,0,58200 ok s=2,m=11 0.06 0.50 1 0.13 0.2 1.00

60,53,0,60201 ok s=2,m=11 0.03 0.33 1 0.08 0.2 1.00

50,46,0,50202 ok s=2,m=11 0.07 0.35 1 0.07 7.02e-02 1.00

53,39,0,51203 ok s=2,m=11 6.29e-03 6.29e-03 1 2.53e-03 3.73e-02 1.00

59,59,0,59207 ok s=2,m=11 0.06 0.25 1 0.16 0.2 1.00

59,36,0,59209 ok s=2,m=11 0.07 0.26 1 0.21 0.2 1.00

64,64,0,64210 ok s=2,m=11 0.03 0.26 1 0.08 0.2 1.00

61,59,0,61212 ok s=2,m=11 0.07 0.45 1 0.12 5.82e-02 1.00

54,42,0,50213 ok s=2,m=11 5.20e-03 4.79e-03 1 1.78e-03 3.44e-02 1.00

59,59,0,59217 ok s=2,m=11 3.77e-03 6.33e-03 1 1.67e-03 4.05e-02 1.00

59,60,0,60218 ok s=2,m=11 0.04 0.24 1 0.11 0.2 1.00

53,63,0,50219 ok s=2,m=11 0.03 0.13 1 0.06 0.2 1.00

53,63,0,53220 ok s=2,m=11 0.13 0.38 1 0.30 3.35e-02 1.00

48,64,0,64221 ok s=2,m=11 0.02 0.37 1 0.04 0.2 1.00

37,37,0,48225 ok s=2,m=11 5.04e-03 5.91e-03 1 2.17e-03 3.86e-02 1.00

59,59,0,59226 ok s=2,m=11 0.04 0.24 1 0.08 0.2 1.00

61,46,0,61227 ok s=2,m=11 0.03 0.26 1 0.07 0.2 1.00

53,39,0,53228 ok s=2,m=11 0.03 0.29 1 0.07 0.2 1.00

50,41,0,50238 ok s=2,m=11 5.35e-03 6.42e-03 1 2.42e-03 3.89e-02 1.00

59,59,0,59243 ok s=2,m=11 0.04 0.40 1 0.09 0.2 1.00

53,63,0,53246 ok s=2,m=11 0.18 0.37 1 0.32 2.88e-02 1.00

53,50,0,50247 ok s=2,m=11 0.04 0.15 1 0.11 0.2 1.00

60,61,0,64248 ok s=2,m=11 0.03 0.14 1 0.06 0.2 1.00

59,65,0,59249 ok s=2,m=11 0.03 0.44 1 0.10 0.2 1.00

42,42,0,50252 ok s=2,m=11 0.04 0.22 1 0.08 0.2 1.00

58,39,0,58253 ok s=2,m=11 0.03 0.23 1 0.07 0.2 1.00

51,39,0,51254 ok s=2,m=11 0.03 0.19 1 0.07 0.2 1.00

51,65,0,51255 ok s=2,m=11 0.04 0.22 1 0.08 0.2 1.00

58,49,0,58257 ok s=2,m=11 0.04 0.14 1 0.09 0.1 1.00

61,60,0,59258 ok s=2,m=11 0.03 0.14 1 0.07 0.1 1.00

53,34,0,53259 ok s=2,m=11 0.02 0.20 1 0.03 0.1 1.00 5,39,0,5260 ok s=2,m=11 0.04 0.17 1 0.14 0.3 1.00

50,50,0,50261 ok s=2,m=11 0.03 0.15 1 0.07 0.2 1.00

44,40,0,44262 ok s=2,m=11 0.08 0.32 1 0.24 0.2 1.00

64,48,0,64263 ok s=2,m=11 0.02 0.11 1 0.07 0.1 1.00 5,37,0,5265 ok s=2,m=11 0.01 0.14 1 0.04 0.2 1.00

56,44,0,56266 ok s=2,m=11 0.04 0.35 1 0.02 0.2 1.00

41,53,0,3267 ok s=2,m=11 0.02 0.07 1 0.06 0.2 1.00 7,5,0,7268 ok s=2,m=11 0.02 0.23 1 0.05 0.2 1.00

57,53,0,8

Pilas. V V/T V N/M V stab LamS 22 LamS 33 Snell. Chi mn V flst LamS LT Chi LT1.00

0.24 0.59 0.32 0.25

_________________________________________________________________________________________________________________________

82

4. Rampa piana della scala S2















1 cemento armato

_________________________________________________________________________________________________________________________

83



2 acciaio







3 muratura



4 legno








_________________________________________________________________________________________________________________________

84





Travi acc. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..Lunghezze libere3-3 Beta * L automatico Si3-3 Beta assegnato 1.003-3 Beta assegnato [ cm ] 0.02-2 Beta * L automatico Si2-2 Beta assegnato 1.002-2 Beta * L assegnato [ cm ] 0.01-1 Beta * L automatico Si1-1 Beta assegnato 1.001-1 Beta * L assegnato [ cm ] 0.0GeneralitàCoefficiente gamma M0 1.05Coefficiente gamma M1 1.05Coefficiente gamma M2 1.25Luce di taglio per GR [ cm ] 1.00Usa condizioni I e II SiMomenti equivalenti Si

_________________________________________________________________________________________________________________________

85




















_________________________________________________________________________________________________________________________

86






1 Rettangolare cava: b=6 h=12 bi=5.2 hi=11.2 13.76 0.0 0.0 196.27 84.77 255.20 28.26 42.53 32.29 52.93





















1 0.0 0.0 0.0 v=1111112 0.0 70.0 0.0 v=1111113 400.0 70.0 0.0 v=1111114 400.0 0.0 0.0 v=111111

_________________________________________________________________________________________________________________________

87

_________________________________________________________________________________________________________________________

88




1

2

3X

Y

Z


X

Y

Z













daN/cm31 Trave 1 4 11 1 000011 0000112 Trave 2 3 11 1 000011 000011







_________________________________________________________________________________________________________________________

89

Tipo Tipo di carico



Neve Carico di neve



Qk carico variabile

































_________________________________________________________________________________________________________________________

90







































_________________________________________________________________________________________________________________________

91











kN/ m2 kN/ m2 kN/ m21 SM 1 m=11 1.0 90.0 1.00 4.00 1 4 3 2

_________________________________________________________________________________________________________________________

92



















1 dato (pressione)











_________________________________________________________________________________________________________________________

93

FX

FY

FZ

MX

MY

MZ


X

Y

Z

RX

RY

RZ


XY

Z


21

3 q3i

q3f


XY

Z

a


21

3

a

F3




_________________________________________________________________________________________________________________________

94

























CDC Tipo Sigla Id Note1 Ggk CDC=Ggk (peso proprio della struttura)2 Gsk CDC=G1sk (permanente solai-coperture)3 Qsk CDC=Qsk (variabile solai)

_________________________________________________________________________________________________________________________

95






G1

G1

+ G2

G2

+ PP +

Q1Q

k1 +

Q2

02Q

k2 +

Q3

03Q

k3 + …


G1 + G

2 + P + Q

k1 +

02Q

k2 +

03Q

k3+ …


G1 + G

2 + P +

11Q

k1 +

22Q

k2 +

23Q

k3 + …


G1 + G2 + P + 21Q

k1 +

22Q

k2 +

23Q

k3 + …


E + G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …


G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …

Dove:



1

2


0,50 0,30


0,50 0,30


0,70 0,60


0,70 0,60


0,90 0,80


0,70

0,70 0,60


0,50 0,30


0,00 0,00

Vento 0,60

0,20 0,00


0,20 0,00


0,50 0,20


0,50 0,00

_________________________________________________________________________________________________________________________

96






Coefficientef

EQU A1 A2


G1

0,91,1

1,01,3

1,01,0



G2

0,01,5

0,01,5

0,01,3


Qi

0,01,5

0,01,5

0,01,3

_________________________________________________________________________________________________________________________

97

Cmb Tipo Sigla Id effetto P-delta1 SLU Comb. SLU A1 1 2 SLU Comb. SLU A1 2 3 SLU Comb. SLU A1 3 4 SLU Comb. SLU A1 4 5 SLE(r) Comb. SLE(rara) 5 6 SLE(r) Comb. SLE(rara) 6 7 SLE(f) Comb. SLE(freq.) 7 8 SLE(f) Comb. SLE(freq.) 8 9 SLE(p) Comb. SLE(perm.) 9 10 SLE(p) Comb. SLE(perm.) 10

Cmb CDC 1/15... CDC 2/16... CDC 3/17... CDC 4/18... CDC 5/19... CDC 6/20... CDC 7/21... CDC 8/22... CDC 9/23... CDC 10/24... CDC 11/25... CDC 12/26... CDC 13/27... CDC 14/28...1 1.30 1.30 0.02 1.30 1.30 1.503 1.00 1.00 0.04 1.00 1.00 1.505 1.00 1.00 0.06 1.00 1.00 1.007 1.00 1.00 0.08 1.00 1.00 0.709 1.00 1.00 0.010 1.00 1.00 0.60

4.9 Risultati nodaliIl controllo dei risultati delle analisi condotte, per quanto concerne i nodi strutturali, è possibile in relazione alle tabelle sottoriportate.

Una prima tabella riporta infatti per ogni nodo e per ogni combinazione (o caso di carico) gli spostamenti nodali.

Una seconda tabella riporta per ogni nodo a cui sia associato un vincolo rigido e/o elastico o una fondazione speciale e per ogni combinazione (o caso di carico) i valori delle azioni esercitate dallastruttura sui vincoli (reazioni vincolari cambiate di segno).

Una terza tabella, infine riassume per ogni nodo le sei combinazioni in cui si attingono i valori minimi e massimi della reazione Fz, della reazione Mx e della reazione My.

Nodo Cmb Traslazione X Traslazione Y Traslazione Z Rotazione X Rotazione Y Rotazione Z mm mm mm

1 1 0.0 0.0 0.0 0.0 0.0 0.01 2 0.0 0.0 0.0 0.0 0.0 0.01 3 0.0 0.0 0.0 0.0 0.0 0.01 4 0.0 0.0 0.0 0.0 0.0 0.01 5 0.0 0.0 0.0 0.0 0.0 0.01 6 0.0 0.0 0.0 0.0 0.0 0.01 7 0.0 0.0 0.0 0.0 0.0 0.01 8 0.0 0.0 0.0 0.0 0.0 0.01 9 0.0 0.0 0.0 0.0 0.0 0.01 10 0.0 0.0 0.0 0.0 0.0 0.02 1 0.0 0.0 0.0 0.0 0.0 0.02 2 0.0 0.0 0.0 0.0 0.0 0.02 3 0.0 0.0 0.0 0.0 0.0 0.02 4 0.0 0.0 0.0 0.0 0.0 0.02 5 0.0 0.0 0.0 0.0 0.0 0.02 6 0.0 0.0 0.0 0.0 0.0 0.02 7 0.0 0.0 0.0 0.0 0.0 0.02 8 0.0 0.0 0.0 0.0 0.0 0.02 9 0.0 0.0 0.0 0.0 0.0 0.02 10 0.0 0.0 0.0 0.0 0.0 0.03 1 0.0 0.0 0.0 0.0 0.0 0.03 2 0.0 0.0 0.0 0.0 0.0 0.03 3 0.0 0.0 0.0 0.0 0.0 0.03 4 0.0 0.0 0.0 0.0 0.0 0.03 5 0.0 0.0 0.0 0.0 0.0 0.0

_________________________________________________________________________________________________________________________

98

3 6 0.0 0.0 0.0 0.0 0.0 0.03 7 0.0 0.0 0.0 0.0 0.0 0.03 8 0.0 0.0 0.0 0.0 0.0 0.03 9 0.0 0.0 0.0 0.0 0.0 0.03 10 0.0 0.0 0.0 0.0 0.0 0.04 1 0.0 0.0 0.0 0.0 0.0 0.04 2 0.0 0.0 0.0 0.0 0.0 0.04 3 0.0 0.0 0.0 0.0 0.0 0.04 4 0.0 0.0 0.0 0.0 0.0 0.04 5 0.0 0.0 0.0 0.0 0.0 0.04 6 0.0 0.0 0.0 0.0 0.0 0.04 7 0.0 0.0 0.0 0.0 0.0 0.04 8 0.0 0.0 0.0 0.0 0.0 0.04 9 0.0 0.0 0.0 0.0 0.0 0.04 10 0.0 0.0 0.0 0.0 0.0 0.0

Nodo Traslazione X Traslazione Y Traslazione Z Rotazione X Rotazione Y Rotazione Z0.0 0.0 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 0.0 0.0

_________________________________________________________________________________________________________________________

99

4.10 Risultati elementi tipo traveIl controllo dei risultati delle analisi condotte, per quanto concerne gli elementi tipo trave, è possibile in relazione alle tabelle sotto riportate.

Gli elementi vengono suddivisi in relazione alle proprietà in elementi:

tipo pilastro

tipo trave in elevazione

tipo trave in fondazione

Per ogni elemento e per ogni combinazione (o caso di carico) vengono riportati i risultati più significativi.

Per gli elementi tipo pilastro sono riportati in tabella i seguenti valori:

Pilas. numero dell’elemento pilastro

Cmb combinazione in cui si verificano i valori riportati

M3 mx/mn momento flettente in campata M3 max (prima riga) / min (seconda riga)


D2/D3 freccia massima in direzione 2 (prima riga) / direzione 3 (seconda riga)

Q2/Q3 carico totale in direzione 2 (prima riga) / direzione 3 (seconda riga)

Pos. ascissa del punto iniziale e finale dell’elemento

N, V2, ecc.. sei componenti di sollecitazione al piede ed in sommità dell’elemento

Per gli elementi tipo trave in elevazione sono riportati, oltre al numero dell’elemento, i medesimi risultati visti per i pilastri.

Per gli elementi tipo trave in fondazione (trave f.) sono riportati, oltre al numero dell’elemento, i medesimi risultati visti per i pilastri e la massima pressione sul terreno.

1

2

3X

Y

Z


X

Y

Z


_________________________________________________________________________________________________________________________

100

Trave Cmb M3 mx/mn M2 mx/mn D 2 / D 3 Q 2 / Q 3 Pos. N V 2 V 3 T M 2 M 3kN m kN m m kN cm kN kN kN kN m kN m kN

m1 1 1.19 0.0 -3.67e-03 -2.38 0.0 0.0 1.19 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -1.19 0.0 0.0 0.0 0.01 2 5.39 0.0 -0.02 -10.78 0.0 0.0 5.39 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -5.39 0.0 0.0 0.0 0.01 3 0.91 0.0 -2.83e-03 -1.83 0.0 0.0 0.91 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -0.91 0.0 0.0 0.0 0.01 4 5.11 0.0 -0.02 -10.23 0.0 0.0 5.11 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -5.11 0.0 0.0 0.0 0.01 5 0.91 0.0 -2.83e-03 -1.83 0.0 0.0 0.91 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -0.91 0.0 0.0 0.0 0.01 6 3.71 0.0 -0.01 -7.43 0.0 0.0 3.71 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -3.71 0.0 0.0 0.0 0.01 7 0.91 0.0 -2.83e-03 -1.83 0.0 0.0 0.91 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -0.91 0.0 0.0 0.0 0.01 8 2.87 0.0 -8.88e-03 -5.75 0.0 0.0 2.87 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -2.87 0.0 0.0 0.0 0.01 9 0.91 0.0 -2.83e-03 -1.83 0.0 0.0 0.91 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -0.91 0.0 0.0 0.0 0.01 10 2.59 0.0 -8.02e-03 -5.19 0.0 0.0 2.59 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -2.59 0.0 0.0 0.0 0.02 1 1.19 0.0 -3.67e-03 -2.38 0.0 0.0 1.19 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -1.19 0.0 0.0 0.0 0.02 2 5.39 0.0 -0.02 -10.78 0.0 0.0 5.39 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -5.39 0.0 0.0 0.0 0.02 3 0.91 0.0 -2.83e-03 -1.83 0.0 0.0 0.91 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -0.91 0.0 0.0 0.0 0.02 4 5.11 0.0 -0.02 -10.23 0.0 0.0 5.11 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -5.11 0.0 0.0 0.0 0.02 5 0.91 0.0 -2.83e-03 -1.83 0.0 0.0 0.91 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -0.91 0.0 0.0 0.0 0.02 6 3.71 0.0 -0.01 -7.43 0.0 0.0 3.71 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -3.71 0.0 0.0 0.0 0.02 7 0.91 0.0 -2.83e-03 -1.83 0.0 0.0 0.91 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -0.91 0.0 0.0 0.0 0.02 8 2.87 0.0 -8.88e-03 -5.75 0.0 0.0 2.87 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -2.87 0.0 0.0 0.0 0.02 9 0.91 0.0 -2.83e-03 -1.83 0.0 0.0 0.91 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -0.91 0.0 0.0 0.0 0.02 10 2.59 0.0 -8.02e-03 -5.19 0.0 0.0 2.59 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -2.59 0.0 0.0 0.0 0.0

Trave M3 mx/mn M2 mx/mn D 2 / D 3 Q 2 / Q 3 N V 2 V 3 T0.0 0.0 -0.02 -10.78 0.0 -5.39 0.0 0.0

5.39 0.0 0.0 0.0 0.0 5.39 0.0 0.0

_________________________________________________________________________________________________________________________

101




















Taglio, Torsione X











PROFILI ACCOPPIATI






_________________________________________________________________________________________________________________________

102


































1 ok s=1,m=11 0.04 0.39 1 2,2,0,02 ok s=1,m=11 0.04 0.39 1 2,2,0,0


_________________________________________________________________________________________________________________________

103

Trave v.Omeg f.Om. N Stato V N/M V stab Rif. cmb V.7.5.3 M Ed V.7.5.4 N Ed V.7.5.5 V Ed,G VEd,M

kN m kN kN kN1 0.0 0.0 0.0 0.0 0.0 0.0 0.02 0.0 0.0 0.0 0.0 0.0 0.0 0.0

Trave v.Omeg V N/M V stab V.7.5.3 M Ed V.7.5.4 N Ed V.7.5.5 V Ed,G VEd,M

0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 0.0 0.0 0.0

_________________________________________________________________________________________________________________________

104

5. Ultima rampa della scala S2















1 cemento armato



2 acciaio

_________________________________________________________________________________________________________________________

105







3 muratura



4 legno











Pilastri acc. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..Lunghezze libereMetodo di calcolo 2-2 Assegnato2-2 Beta assegnato 2.002-2 Beta * L assegnato [ cm ] 0.0Metodo di calcolo 3-3 Assegnato3-3 Beta assegnato 2.003-3 Beta * L assegnato [ cm ] 0.01-1 Beta assegnato 1.001-1 Beta * L assegnato [ cm ] 0.0GeneralitàCoefficiente gamma M0 1.05Coefficiente gamma M1 1.05Coefficiente gamma M2 1.25Effetti del 2 ordine Si

_________________________________________________________________________________________________________________________

106

Pilastri acc. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..Momenti equivalenti SiUsa condizioni I e II Si


_________________________________________________________________________________________________________________________

107




















_________________________________________________________________________________________________________________________

108






1 HEB 160 54.30 0.0 0.0 31.20 889.00 2492.00 111.20 311.50 170.00 354.00





















1 0.0 0.0 0.0 v=1111112 0.0 152.0 0.0 v=1111113 400.0 152.0 0.0 v=1111114 400.0 0.0 0.0 v=111111

_________________________________________________________________________________________________________________________

109

_________________________________________________________________________________________________________________________

110




1

2

3X

Y

Z


X

Y

Z













daN/cm31 Trave 1 4 11 1 000011 0000112 Trave 2 3 11 1 000011 000011






_________________________________________________________________________________________________________________________

111


Tipo Tipo di carico



Neve Carico di neve



Qk carico variabile
































_________________________________________________________________________________________________________________________

112







































_________________________________________________________________________________________________________________________

113












kN/ m2 kN/ m2 kN/ m21 SM 1 m=11 1.0 90.0 1.00 4.00 1 4 3 2

_________________________________________________________________________________________________________________________

114

5.6 Modellazione delle azioni

Il programma consente l’uso di diverse tipologie di carico (azioni). Le azioni utilizzate nella modellazione sono individuate da una sigla identificativa ed un codice numerico (gli elementi strutturalirichiamano quest’ultimo nella propria descrizione). Per ogni azione applicata alla struttura viene di riportato il codice, il tipo e la sigla identificativa. Le tabelle successive dettagliano i valoricaratteristici di ogni azione in relazione al tipo. Le tabelle riportano infatti i seguenti dati in relazione al tipo:


















1 dato (pressione)











_________________________________________________________________________________________________________________________

115

_________________________________________________________________________________________________________________________

116

FX

FY

FZ

MX

MY

MZ


X

Y

Z

RX

RY

RZ


XY

Z


21

3 q3i

q3f


XY

Z

a


21

3

a

F3




_________________________________________________________________________________________________________________________

117


























_________________________________________________________________________________________________________________________

118

5.8 Definizione delle combinazioni

Il programma combina i diversi tipi di casi di carico (CDC) secondo le regole previste dalla normativa vigente.





G1

G1

+ G2

G2

+ PP +

Q1Q

k1 +

Q2

02Q

k2 +

Q3

03Q

k3 + …


G1 + G

2 + P + Q

k1 +

02Q

k2 +

03Q

k3+ …


G1 + G

2 + P +

11Q

k1 +

22Q

k2 +

23Q

k3 + …


G1 + G2 + P + 21Q

k1 +

22Q

k2 +

23Q

k3 + …


E + G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …


G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …

Dove:



1

2


0,50 0,30


0,50 0,30


0,70 0,60


0,70 0,60


0,90 0,80


0,70

0,70 0,60


0,50 0,30


0,00 0,00

Vento 0,60

0,20 0,00


0,20 0,00


0,50 0,20


0,50 0,00

_________________________________________________________________________________________________________________________

119






Coefficientef

EQU A1 A2


G1

0,91,1

1,01,3

1,01,0



G2

0,01,5

0,01,5

0,01,3


Qi

0,01,5

0,01,5

0,01,3

_________________________________________________________________________________________________________________________

120



5.9 Risultati nodaliIl controllo dei risultati delle analisi condotte, per quanto concerne i nodi strutturali, è possibile in relazione alle tabelle sottoriportate.

Una prima tabella riporta infatti per ogni nodo e per ogni combinazione (o caso di carico) gli spostamenti nodali.

Una seconda tabella riporta per ogni nodo a cui sia associato un vincolo rigido e/o elastico o una fondazione speciale e per ogni combinazione (o caso di carico) i valori delle azioni esercitate dallastruttura sui vincoli (reazioni vincolari cambiate di segno).

Una terza tabella, infine riassume per ogni nodo le sei combinazioni in cui si attingono i valori minimi e massimi della reazione Fz, della reazione Mx e della reazione My.

Nodo Cmb Traslazione X Traslazione Y Traslazione Z Rotazione X Rotazione Y Rotazione Z mm mm mm

1 1 0.0 0.0 0.0 0.0 0.0 0.01 2 0.0 0.0 0.0 0.0 0.0 0.01 3 0.0 0.0 0.0 0.0 0.0 0.01 4 0.0 0.0 0.0 0.0 0.0 0.01 5 0.0 0.0 0.0 0.0 0.0 0.01 6 0.0 0.0 0.0 0.0 0.0 0.01 7 0.0 0.0 0.0 0.0 0.0 0.01 8 0.0 0.0 0.0 0.0 0.0 0.01 9 0.0 0.0 0.0 0.0 0.0 0.01 10 0.0 0.0 0.0 0.0 0.0 0.02 1 0.0 0.0 0.0 0.0 0.0 0.02 2 0.0 0.0 0.0 0.0 0.0 0.02 3 0.0 0.0 0.0 0.0 0.0 0.02 4 0.0 0.0 0.0 0.0 0.0 0.02 5 0.0 0.0 0.0 0.0 0.0 0.02 6 0.0 0.0 0.0 0.0 0.0 0.02 7 0.0 0.0 0.0 0.0 0.0 0.02 8 0.0 0.0 0.0 0.0 0.0 0.02 9 0.0 0.0 0.0 0.0 0.0 0.02 10 0.0 0.0 0.0 0.0 0.0 0.03 1 0.0 0.0 0.0 0.0 0.0 0.03 2 0.0 0.0 0.0 0.0 0.0 0.03 3 0.0 0.0 0.0 0.0 0.0 0.03 4 0.0 0.0 0.0 0.0 0.0 0.03 5 0.0 0.0 0.0 0.0 0.0 0.0

_________________________________________________________________________________________________________________________

121

3 6 0.0 0.0 0.0 0.0 0.0 0.03 7 0.0 0.0 0.0 0.0 0.0 0.03 8 0.0 0.0 0.0 0.0 0.0 0.03 9 0.0 0.0 0.0 0.0 0.0 0.03 10 0.0 0.0 0.0 0.0 0.0 0.04 1 0.0 0.0 0.0 0.0 0.0 0.04 2 0.0 0.0 0.0 0.0 0.0 0.04 3 0.0 0.0 0.0 0.0 0.0 0.04 4 0.0 0.0 0.0 0.0 0.0 0.04 5 0.0 0.0 0.0 0.0 0.0 0.04 6 0.0 0.0 0.0 0.0 0.0 0.04 7 0.0 0.0 0.0 0.0 0.0 0.04 8 0.0 0.0 0.0 0.0 0.0 0.04 9 0.0 0.0 0.0 0.0 0.0 0.04 10 0.0 0.0 0.0 0.0 0.0 0.0

Nodo Traslazione X Traslazione Y Traslazione Z Rotazione X Rotazione Y Rotazione Z0.0 0.0 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 0.0 0.0

Nodo Cmb Azione X Azione Y Azione Z Azione RX Azione RY Azione RZkN kN kN kN m kN m kN m

1 1 0.0 0.0 -3.08 0.0 0.0 0.01 2 0.0 0.0 -12.20 0.0 0.0 0.01 3 0.0 0.0 -2.37 0.0 0.0 0.01 4 0.0 0.0 -11.49 0.0 0.0 0.01 5 0.0 0.0 -2.37 0.0 0.0 0.01 6 0.0 0.0 -8.45 0.0 0.0 0.01 7 0.0 0.0 -2.37 0.0 0.0 0.01 8 0.0 0.0 -6.62 0.0 0.0 0.01 9 0.0 0.0 -2.37 0.0 0.0 0.01 10 0.0 0.0 -6.02 0.0 0.0 0.02 1 0.0 0.0 -3.08 0.0 0.0 0.02 2 0.0 0.0 -12.20 0.0 0.0 0.02 3 0.0 0.0 -2.37 0.0 0.0 0.02 4 0.0 0.0 -11.49 0.0 0.0 0.02 5 0.0 0.0 -2.37 0.0 0.0 0.02 6 0.0 0.0 -8.45 0.0 0.0 0.02 7 0.0 0.0 -2.37 0.0 0.0 0.02 8 0.0 0.0 -6.62 0.0 0.0 0.02 9 0.0 0.0 -2.37 0.0 0.0 0.02 10 0.0 0.0 -6.02 0.0 0.0 0.03 1 0.0 0.0 -3.08 0.0 0.0 0.03 2 0.0 0.0 -12.20 0.0 0.0 0.03 3 0.0 0.0 -2.37 0.0 0.0 0.03 4 0.0 0.0 -11.49 0.0 0.0 0.03 5 0.0 0.0 -2.37 0.0 0.0 0.03 6 0.0 0.0 -8.45 0.0 0.0 0.03 7 0.0 0.0 -2.37 0.0 0.0 0.03 8 0.0 0.0 -6.62 0.0 0.0 0.03 9 0.0 0.0 -2.37 0.0 0.0 0.03 10 0.0 0.0 -6.02 0.0 0.0 0.04 1 0.0 0.0 -3.08 0.0 0.0 0.04 2 0.0 0.0 -12.20 0.0 0.0 0.04 3 0.0 0.0 -2.37 0.0 0.0 0.04 4 0.0 0.0 -11.49 0.0 0.0 0.04 5 0.0 0.0 -2.37 0.0 0.0 0.04 6 0.0 0.0 -8.45 0.0 0.0 0.04 7 0.0 0.0 -2.37 0.0 0.0 0.04 8 0.0 0.0 -6.62 0.0 0.0 0.04 9 0.0 0.0 -2.37 0.0 0.0 0.04 10 0.0 0.0 -6.02 0.0 0.0 0.0

Nodo Azione X Azione Y Azione Z Azione RX Azione RY Azione RZ0.0 0.0 -12.20 0.0 0.0 0.00.0 0.0 -2.37 0.0 0.0 0.0

Nodo Cmb Azione X Azione Y Azione Z Azione RX Azione RY Azione RZkN kN kN kN m kN m kN m

1 2 0.0 0.0 -12.20 0.0 0.0 0.03 0.0 0.0 -2.37 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.0

2 2 0.0 0.0 -12.20 0.0 0.0 0.03 0.0 0.0 -2.37 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.0

_________________________________________________________________________________________________________________________

122

3 2 0.0 0.0 -12.20 0.0 0.0 0.03 0.0 0.0 -2.37 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.0

4 2 0.0 0.0 -12.20 0.0 0.0 0.03 0.0 0.0 -2.37 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.01 0.0 0.0 -3.08 0.0 0.0 0.0



tipo pilastro















1

2

3X

Y

Z


X

Y

Z



_________________________________________________________________________________________________________________________

123

m1 1 3.08 0.0 -9.74e-04 -6.15 0.0 0.0 3.08 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -3.08 0.0 0.0 0.0 0.01 2 12.20 0.0 -3.86e-03 -24.39 0.0 0.0 12.20 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -12.20 0.0 0.0 0.0 0.01 3 2.37 0.0 -7.49e-04 -4.73 0.0 0.0 2.37 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -2.37 0.0 0.0 0.0 0.01 4 11.49 0.0 -3.64e-03 -22.97 0.0 0.0 11.49 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -11.49 0.0 0.0 0.0 0.01 5 2.37 0.0 -7.49e-04 -4.73 0.0 0.0 2.37 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -2.37 0.0 0.0 0.0 0.01 6 8.45 0.0 -2.67e-03 -16.89 0.0 0.0 8.45 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -8.45 0.0 0.0 0.0 0.01 7 2.37 0.0 -7.49e-04 -4.73 0.0 0.0 2.37 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -2.37 0.0 0.0 0.0 0.01 8 6.62 0.0 -2.10e-03 -13.25 0.0 0.0 6.62 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -6.62 0.0 0.0 0.0 0.01 9 2.37 0.0 -7.49e-04 -4.73 0.0 0.0 2.37 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -2.37 0.0 0.0 0.0 0.01 10 6.02 0.0 -1.90e-03 -12.03 0.0 0.0 6.02 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -6.02 0.0 0.0 0.0 0.02 1 3.08 0.0 -9.74e-04 -6.15 0.0 0.0 3.08 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -3.08 0.0 0.0 0.0 0.02 2 12.20 0.0 -3.86e-03 -24.39 0.0 0.0 12.20 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -12.20 0.0 0.0 0.0 0.02 3 2.37 0.0 -7.49e-04 -4.73 0.0 0.0 2.37 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -2.37 0.0 0.0 0.0 0.02 4 11.49 0.0 -3.64e-03 -22.97 0.0 0.0 11.49 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -11.49 0.0 0.0 0.0 0.02 5 2.37 0.0 -7.49e-04 -4.73 0.0 0.0 2.37 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -2.37 0.0 0.0 0.0 0.02 6 8.45 0.0 -2.67e-03 -16.89 0.0 0.0 8.45 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -8.45 0.0 0.0 0.0 0.02 7 2.37 0.0 -7.49e-04 -4.73 0.0 0.0 2.37 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -2.37 0.0 0.0 0.0 0.02 8 6.62 0.0 -2.10e-03 -13.25 0.0 0.0 6.62 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -6.62 0.0 0.0 0.0 0.02 9 2.37 0.0 -7.49e-04 -4.73 0.0 0.0 2.37 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -2.37 0.0 0.0 0.0 0.02 10 6.02 0.0 -1.90e-03 -12.03 0.0 0.0 6.02 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 400.0 0.0 -6.02 0.0 0.0 0.0 0.0

Trave M3 mx/mn M2 mx/mn D 2 / D 3 Q 2 / Q 3 N V 2 V 3 T0.0 0.0 -3.86e-03 -24.39 0.0 -12.20 0.0 0.0

12.20 0.0 0.0 0.0 0.0 12.20 0.0 0.0

_________________________________________________________________________________________________________________________

124




















Taglio, Torsione X











PROFILI ACCOPPIATI






_________________________________________________________________________________________________________________________

125


































1 ok s=1,m=11 0.05 0.13 1 0.15 0.7 0.89 2,2,0,22 ok s=1,m=11 0.05 0.13 1 0.15 0.7 0.89 2,2,0,2

Trave V V/T V N/M V stab LamS 22 LamS 33 Snell. Chi mn V flst LamS LT Chi LT0.89

0.05 0.13 0.15 0.72

_________________________________________________________________________________________________________________________

126


kN m kN kN kN1 0.0 0.0 0.0 0.0 0.0 0.0 0.02 0.0 0.0 0.0 0.0 0.0 0.0 0.0


0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 0.0 0.0 0.0

_________________________________________________________________________________________________________________________

127

6. Scala S3















_________________________________________________________________________________________________________________________

128

1 cemento armato



2 acciaio







3 muratura



4 legno











Pilastri acc. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..Lunghezze libereMetodo di calcolo 2-2 Assegnato2-2 Beta assegnato 2.002-2 Beta * L assegnato [ cm ] 0.0Metodo di calcolo 3-3 Assegnato3-3 Beta assegnato 2.003-3 Beta * L assegnato [ cm ] 0.0

_________________________________________________________________________________________________________________________

129

Pilastri acc. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..1-1 Beta assegnato 1.001-1 Beta * L assegnato [ cm ] 0.0GeneralitàCoefficiente gamma M0 1.05Coefficiente gamma M1 1.05Coefficiente gamma M2 1.25Effetti del 2 ordine SiMomenti equivalenti SiUsa condizioni I e II Si


















_________________________________________________________________________________________________________________________

130




_________________________________________________________________________________________________________________________

131

























1 0.0 0.0 0.0 2 0.0 65.0 0.0 7 -225.0 65.0190.08 -225.0 0.0 190.0 11 0.0 -5.0 397.6 16 -225.0 -5.0190.0

17 -225.0 -70.0 190.0 19 0.0 -70.0 397.6 21 0.0 0.0397.622 0.0 65.0 397.6 23 -225.0 65.0 587.6 24 -225.0 0.0587.6



3 92.5 65.0 0.0 v=1111114 92.5 0.0 0.0 v=1111115 -300.0 65.0 190.0 v=111111

_________________________________________________________________________________________________________________________

132

6 -300.0 0.0 190.0 v=1111119 -300.0 -5.0 190.0 v=111111

10 92.5 -5.0 397.6 v=11111112 92.5 0.0 397.6 v=11111113 92.5 -70.0 397.6 v=11111114 -300.0 65.0 587.6 v=11111115 -300.0 -70.0 190.0 v=11111118 -300.0 0.0 587.6 v=11111120 92.5 65.0 397.6 v=111111

_________________________________________________________________________________________________________________________

133




1

2

3X

Y

Z


X

Y

Z













daN/cm31 Trave 2 3 11 1 0000112 Trave 7 2 11 13 Trave 5 7 11 1 0000114 Trave 1 4 11 1 0000115 Trave 8 1 11 16 Trave 6 8 11 1 0000117 Trave 11 10 11 1 0000118 Trave 16 11 11 19 Trave 9 16 11 1 000011

10 Trave 19 13 11 1 00001111 Trave 17 19 11 112 Trave 15 17 11 1 00001113 Trave 22 20 11 1 00001114 Trave 23 22 11 115 Trave 14 23 11 1 00001116 Trave 21 12 11 1 00001117 Trave 24 21 11 118 Trave 18 24 11 1 000011


_________________________________________________________________________________________________________________________

134






Tipo Tipo di carico



Neve Carico di neve



Qk carico variabile
























_________________________________________________________________________________________________________________________

135







































_________________________________________________________________________________________________________________________

136




















kN/ m2 kN/ m2 kN/ m21 SM 1 m=11 1.0 90.0 1.00 4.00 4 3 2 12 SM 1 m=11 1.0 90.0 1.00 4.00 8 1 2 73 SM 1 m=11 1.0 90.0 1.00 4.00 6 8 7 54 SM 1 m=11 1.0 90.0 1.00 4.00 15 17 16 95 SM 1 m=11 1.0 90.0 1.00 4.00 17 19 11 166 SM 1 m=11 1.0 90.0 1.00 4.00 11 19 13 107 SM 1 m=11 1.0 90.0 1.00 4.00 12 20 22 218 SM 1 m=11 1.0 90.0 1.00 4.00 24 21 22 239 SM 1 m=11 1.0 90.0 1.00 4.00 18 24 23 14







_________________________________________________________________________________________________________________________

137













1 dato (pressione)











_________________________________________________________________________________________________________________________

138

FX

FY

FZ

MX

MY

MZ


X

Y

Z

RX

RY

RZ


XY

Z


21

3 q3i

q3f


XY

Z

a


21

3

a

F3




_________________________________________________________________________________________________________________________

139





























Ai fini delle verifiche degli stati limite si definiscono le seguenti combinazioni delle azioni:_________________________________________________________________________________________________________________________

140


G1

G1

+ G2

G2

+ PP +

Q1Q

k1 +

Q2

02Q

k2 +

Q3

03Q

k3 + …


G1 + G

2 + P + Q

k1 +

02Q

k2 +

03Q

k3+ …


G1 + G

2 + P +

11Q

k1 +

22Q

k2 +

23Q

k3 + …


G1 + G2 + P + 21Q

k1 +

22Q

k2 +

23Q

k3 + …


E + G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …


G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …

Dove:



1

2


0,50 0,30


0,50 0,30


0,70 0,60


0,70 0,60


0,90 0,80


0,70

0,70 0,60


0,50 0,30


0,00 0,00

Vento 0,60

0,20 0,00


0,20 0,00


0,50 0,20


0,50 0,00




_________________________________________________________________________________________________________________________

141



Coefficientef

EQU A1 A2


G1

0,91,1

1,01,3

1,01,0



G2

0,01,5

0,01,5

0,01,3


Qi

0,01,5

0,01,5

0,01,3

_________________________________________________________________________________________________________________________

142





tipo pilastro















_________________________________________________________________________________________________________________________

143

1

2

3X

Y

Z


X

Y

Z


_________________________________________________________________________________________________________________________

144


m1 1 0.56 0.0 3.03e-03 -0.52 0.0 0.87 -0.35 0.0 0.0 0.0 0.56

0.0 0.0 0.0 0.0 92.5 0.87 -0.87 0.0 0.0 0.0 0.01 2 2.51 0.0 0.01 -2.32 0.0 3.91 -1.55 0.0 0.0 0.0 2.51

0.0 0.0 0.0 0.0 92.5 3.91 -3.87 0.0 0.0 0.0 0.01 3 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.43

0.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.01 4 2.38 0.0 0.01 -2.20 0.0 3.70 -1.47 0.0 0.0 0.0 2.38

0.0 0.0 0.0 0.0 92.5 3.70 -3.67 0.0 0.0 0.0 0.01 5 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.43

0.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.01 6 1.73 0.0 9.34e-03 -1.60 0.0 2.69 -1.07 0.0 0.0 0.0 1.73

0.0 0.0 0.0 0.0 92.5 2.69 -2.67 0.0 0.0 0.0 0.01 7 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.43

0.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.01 8 1.34 0.0 7.23e-03 -1.24 0.0 2.09 -0.83 0.0 0.0 0.0 1.34

0.0 0.0 0.0 0.0 92.5 2.09 -2.07 0.0 0.0 0.0 0.01 9 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.43

0.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.01 10 1.21 0.0 6.53e-03 -1.12 0.0 1.88 -0.75 0.0 0.0 0.0 1.21

0.0 0.0 0.0 0.0 92.5 1.88 -1.87 0.0 0.0 0.0 0.02 1 1.36 0.0 -2.51e-03 -1.26 0.0 1.51 0.44 0.0 0.0 0.0 1.14

0.56 0.0 0.0 0.0 294.5 0.44 -0.83 0.0 0.0 0.0 0.562 2 6.07 0.0 -0.01 -5.65 0.0 6.76 1.95 0.0 0.0 0.0 5.09

2.51 0.0 0.0 0.0 294.5 1.98 -3.70 0.0 0.0 0.0 2.512 3 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.88

0.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.432 4 5.76 0.0 -0.01 -5.36 0.0 6.41 1.85 0.0 0.0 0.0 4.83

2.38 0.0 0.0 0.0 294.5 1.88 -3.51 0.0 0.0 0.0 2.382 5 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.88

0.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.432 6 4.19 0.0 -7.74e-03 -3.90 0.0 4.66 1.34 0.0 0.0 0.0 3.51

1.73 0.0 0.0 0.0 294.5 1.37 -2.55 0.0 0.0 0.0 1.732 7 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.88

0.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.432 8 3.25 0.0 -5.99e-03 -3.02 0.0 3.61 1.04 0.0 0.0 0.0 2.72

1.34 0.0 0.0 0.0 294.5 1.06 -1.98 0.0 0.0 0.0 1.342 9 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.88

0.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.432 10 2.93 0.0 -5.41e-03 -2.73 0.0 3.26 0.94 0.0 0.0 0.0 2.46

1.21 0.0 0.0 0.0 294.5 0.96 -1.79 0.0 0.0 0.0 1.213 1 1.14 0.0 -3.01e-03 -0.42 0.0 0.87 1.73 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 0.87 1.31 0.0 0.0 0.0 1.143 2 5.09 0.0 -0.01 -1.88 0.0 3.91 7.73 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 3.91 5.85 0.0 0.0 0.0 5.093 3 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.883 4 4.83 0.0 -0.01 -1.79 0.0 3.70 7.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 3.70 5.55 0.0 0.0 0.0 4.833 5 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.883 6 3.51 0.0 -9.27e-03 -1.30 0.0 2.69 5.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 2.69 4.03 0.0 0.0 0.0 3.513 7 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.883 8 2.72 0.0 -7.18e-03 -1.01 0.0 2.09 4.13 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 2.09 3.13 0.0 0.0 0.0 2.723 9 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.883 10 2.46 0.0 -6.49e-03 -0.91 0.0 1.88 3.73 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 1.88 2.82 0.0 0.0 0.0 2.464 1 0.56 0.0 3.03e-03 -0.52 0.0 0.87 -0.35 0.0 0.0 0.0 0.56

0.0 0.0 0.0 0.0 92.5 0.87 -0.87 0.0 0.0 0.0 0.04 2 2.51 0.0 0.01 -2.32 0.0 3.91 -1.55 0.0 0.0 0.0 2.51

0.0 0.0 0.0 0.0 92.5 3.91 -3.87 0.0 0.0 0.0 0.04 3 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.43

0.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.04 4 2.38 0.0 0.01 -2.20 0.0 3.70 -1.47 0.0 0.0 0.0 2.38

0.0 0.0 0.0 0.0 92.5 3.70 -3.67 0.0 0.0 0.0 0.04 5 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.43

0.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.04 6 1.73 0.0 9.34e-03 -1.60 0.0 2.69 -1.07 0.0 0.0 0.0 1.73

0.0 0.0 0.0 0.0 92.5 2.69 -2.67 0.0 0.0 0.0 0.04 7 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.43

0.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.04 8 1.34 0.0 7.23e-03 -1.24 0.0 2.09 -0.83 0.0 0.0 0.0 1.34

0.0 0.0 0.0 0.0 92.5 2.09 -2.07 0.0 0.0 0.0 0.04 9 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.43

0.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.04 10 1.21 0.0 6.53e-03 -1.12 0.0 1.88 -0.75 0.0 0.0 0.0 1.21

_________________________________________________________________________________________________________________________

145

0.0 0.0 0.0 0.0 92.5 1.88 -1.87 0.0 0.0 0.0 0.05 1 1.36 0.0 -2.51e-03 -1.26 0.0 1.51 0.44 0.0 0.0 0.0 1.14

0.56 0.0 0.0 0.0 294.5 0.44 -0.83 0.0 0.0 0.0 0.565 2 6.07 0.0 -0.01 -5.65 0.0 6.76 1.95 0.0 0.0 0.0 5.09

2.51 0.0 0.0 0.0 294.5 1.98 -3.70 0.0 0.0 0.0 2.515 3 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.88

0.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.435 4 5.76 0.0 -0.01 -5.36 0.0 6.41 1.85 0.0 0.0 0.0 4.83

2.38 0.0 0.0 0.0 294.5 1.88 -3.51 0.0 0.0 0.0 2.385 5 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.88

0.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.435 6 4.19 0.0 -7.74e-03 -3.90 0.0 4.66 1.34 0.0 0.0 0.0 3.51

1.73 0.0 0.0 0.0 294.5 1.37 -2.55 0.0 0.0 0.0 1.735 7 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.88

0.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.435 8 3.25 0.0 -5.99e-03 -3.02 0.0 3.61 1.04 0.0 0.0 0.0 2.72

1.34 0.0 0.0 0.0 294.5 1.06 -1.98 0.0 0.0 0.0 1.345 9 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.88

0.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.435 10 2.93 0.0 -5.41e-03 -2.73 0.0 3.26 0.94 0.0 0.0 0.0 2.46

1.21 0.0 0.0 0.0 294.5 0.96 -1.79 0.0 0.0 0.0 1.216 1 1.14 0.0 -3.01e-03 -0.42 0.0 0.87 1.73 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 0.87 1.31 0.0 0.0 0.0 1.146 2 5.09 0.0 -0.01 -1.88 0.0 3.91 7.73 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 3.91 5.85 0.0 0.0 0.0 5.096 3 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.886 4 4.83 0.0 -0.01 -1.79 0.0 3.70 7.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 3.70 5.55 0.0 0.0 0.0 4.836 5 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.886 6 3.51 0.0 -9.27e-03 -1.30 0.0 2.69 5.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 2.69 4.03 0.0 0.0 0.0 3.516 7 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.886 8 2.72 0.0 -7.18e-03 -1.01 0.0 2.09 4.13 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 2.09 3.13 0.0 0.0 0.0 2.726 9 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.886 10 2.46 0.0 -6.49e-03 -0.91 0.0 1.88 3.73 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 1.88 2.82 0.0 0.0 0.0 2.467 1 0.57 0.0 3.23e-03 -0.52 0.0 -0.83 -0.36 0.0 0.0 0.0 0.57

0.0 0.0 0.0 0.0 92.5 -0.83 -0.88 0.0 0.0 0.0 0.07 2 2.57 0.0 0.01 -2.32 0.0 -3.72 -1.61 0.0 0.0 0.0 2.57

0.0 0.0 0.0 0.0 92.5 -3.72 -3.94 0.0 0.0 0.0 0.07 3 0.44 0.0 2.49e-03 -0.40 0.0 -0.64 -0.28 0.0 0.0 0.0 0.44

0.0 0.0 0.0 0.0 92.5 -0.64 -0.68 0.0 0.0 0.0 0.07 4 2.43 0.0 0.01 -2.20 0.0 -3.53 -1.53 0.0 0.0 0.0 2.43

0.0 0.0 0.0 0.0 92.5 -3.53 -3.73 0.0 0.0 0.0 0.07 5 0.44 0.0 2.49e-03 -0.40 0.0 -0.64 -0.28 0.0 0.0 0.0 0.44

0.0 0.0 0.0 0.0 92.5 -0.64 -0.68 0.0 0.0 0.0 0.07 6 1.77 0.0 9.97e-03 -1.60 0.0 -2.56 -1.11 0.0 0.0 0.0 1.77

0.0 0.0 0.0 0.0 92.5 -2.56 -2.72 0.0 0.0 0.0 0.07 7 0.44 0.0 2.49e-03 -0.40 0.0 -0.64 -0.28 0.0 0.0 0.0 0.44

0.0 0.0 0.0 0.0 92.5 -0.64 -0.68 0.0 0.0 0.0 0.07 8 1.37 0.0 7.72e-03 -1.24 0.0 -1.99 -0.86 0.0 0.0 0.0 1.37

0.0 0.0 0.0 0.0 92.5 -1.99 -2.10 0.0 0.0 0.0 0.07 9 0.44 0.0 2.49e-03 -0.40 0.0 -0.64 -0.28 0.0 0.0 0.0 0.44

0.0 0.0 0.0 0.0 92.5 -0.64 -0.68 0.0 0.0 0.0 0.07 10 1.24 0.0 6.97e-03 -1.12 0.0 -1.79 -0.78 0.0 0.0 0.0 1.24

0.0 0.0 0.0 0.0 92.5 -1.79 -1.90 0.0 0.0 0.0 0.08 1 1.41 0.0 -2.80e-03 -1.26 0.0 -1.53 0.44 0.0 0.0 0.0 1.18

0.57 0.0 0.0 0.0 306.1 -0.37 -0.83 0.0 0.0 0.0 0.578 2 6.28 0.0 -0.01 -5.65 0.0 -6.85 1.95 0.0 0.0 0.0 5.26

2.57 0.0 0.0 0.0 306.1 -1.64 -3.71 0.0 0.0 0.0 2.578 3 1.08 0.0 -2.15e-03 -0.97 0.0 -1.18 0.33 0.0 0.0 0.0 0.91

0.44 0.0 0.0 0.0 306.1 -0.28 -0.64 0.0 0.0 0.0 0.448 4 5.96 0.0 -0.01 -5.36 0.0 -6.50 1.84 0.0 0.0 0.0 4.99

2.43 0.0 0.0 0.0 306.1 -1.55 -3.52 0.0 0.0 0.0 2.438 5 1.08 0.0 -2.15e-03 -0.97 0.0 -1.18 0.33 0.0 0.0 0.0 0.91

0.44 0.0 0.0 0.0 306.1 -0.28 -0.64 0.0 0.0 0.0 0.448 6 4.33 0.0 -8.63e-03 -3.90 0.0 -4.73 1.34 0.0 0.0 0.0 3.63

1.77 0.0 0.0 0.0 306.1 -1.13 -2.56 0.0 0.0 0.0 1.778 7 1.08 0.0 -2.15e-03 -0.97 0.0 -1.18 0.33 0.0 0.0 0.0 0.91

0.44 0.0 0.0 0.0 306.1 -0.28 -0.64 0.0 0.0 0.0 0.448 8 3.36 0.0 -6.69e-03 -3.02 0.0 -3.66 1.04 0.0 0.0 0.0 2.81

1.37 0.0 0.0 0.0 306.1 -0.88 -1.98 0.0 0.0 0.0 1.378 9 1.08 0.0 -2.15e-03 -0.97 0.0 -1.18 0.33 0.0 0.0 0.0 0.91

0.44 0.0 0.0 0.0 306.1 -0.28 -0.64 0.0 0.0 0.0 0.448 10 3.03 0.0 -6.04e-03 -2.73 0.0 -3.31 0.94 0.0 0.0 0.0 2.54

1.24 0.0 0.0 0.0 306.1 -0.79 -1.79 0.0 0.0 0.0 1.249 1 1.18 0.0 -3.21e-03 -0.42 0.0 -0.83 1.78 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 -0.83 1.36 0.0 0.0 0.0 1.189 2 5.26 0.0 -0.01 -1.88 0.0 -3.72 7.96 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 -3.72 6.08 0.0 0.0 0.0 5.26_________________________________________________________________________________________________________________________

146

9 3 0.91 0.0 -2.47e-03 -0.32 0.0 -0.64 1.37 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -0.64 1.05 0.0 0.0 0.0 0.91

9 4 4.99 0.0 -0.01 -1.79 0.0 -3.53 7.55 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -3.53 5.76 0.0 0.0 0.0 4.99

9 5 0.91 0.0 -2.47e-03 -0.32 0.0 -0.64 1.37 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -0.64 1.05 0.0 0.0 0.0 0.91

9 6 3.63 0.0 -9.90e-03 -1.30 0.0 -2.56 5.49 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -2.56 4.19 0.0 0.0 0.0 3.63

9 7 0.91 0.0 -2.47e-03 -0.32 0.0 -0.64 1.37 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -0.64 1.05 0.0 0.0 0.0 0.91

9 8 2.81 0.0 -7.67e-03 -1.01 0.0 -1.99 4.25 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -1.99 3.25 0.0 0.0 0.0 2.81

9 9 0.91 0.0 -2.47e-03 -0.32 0.0 -0.64 1.37 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -0.64 1.05 0.0 0.0 0.0 0.91

9 10 2.54 0.0 -6.93e-03 -0.91 0.0 -1.79 3.84 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -1.79 2.93 0.0 0.0 0.0 2.54

10 1 0.57 0.0 3.23e-03 -0.52 0.0 -0.83 -0.36 0.0 0.0 0.0 0.570.0 0.0 0.0 0.0 92.5 -0.83 -0.88 0.0 0.0 0.0 0.0

10 2 2.57 0.0 0.01 -2.32 0.0 -3.72 -1.61 0.0 0.0 0.0 2.570.0 0.0 0.0 0.0 92.5 -3.72 -3.94 0.0 0.0 0.0 0.0

10 3 0.44 0.0 2.49e-03 -0.40 0.0 -0.64 -0.28 0.0 0.0 0.0 0.440.0 0.0 0.0 0.0 92.5 -0.64 -0.68 0.0 0.0 0.0 0.0

10 4 2.43 0.0 0.01 -2.20 0.0 -3.53 -1.53 0.0 0.0 0.0 2.430.0 0.0 0.0 0.0 92.5 -3.53 -3.73 0.0 0.0 0.0 0.0

10 5 0.44 0.0 2.49e-03 -0.40 0.0 -0.64 -0.28 0.0 0.0 0.0 0.440.0 0.0 0.0 0.0 92.5 -0.64 -0.68 0.0 0.0 0.0 0.0

10 6 1.77 0.0 9.97e-03 -1.60 0.0 -2.56 -1.11 0.0 0.0 0.0 1.770.0 0.0 0.0 0.0 92.5 -2.56 -2.72 0.0 0.0 0.0 0.0

10 7 0.44 0.0 2.49e-03 -0.40 0.0 -0.64 -0.28 0.0 0.0 0.0 0.440.0 0.0 0.0 0.0 92.5 -0.64 -0.68 0.0 0.0 0.0 0.0

10 8 1.37 0.0 7.72e-03 -1.24 0.0 -1.99 -0.86 0.0 0.0 0.0 1.370.0 0.0 0.0 0.0 92.5 -1.99 -2.10 0.0 0.0 0.0 0.0

10 9 0.44 0.0 2.49e-03 -0.40 0.0 -0.64 -0.28 0.0 0.0 0.0 0.440.0 0.0 0.0 0.0 92.5 -0.64 -0.68 0.0 0.0 0.0 0.0

10 10 1.24 0.0 6.97e-03 -1.12 0.0 -1.79 -0.78 0.0 0.0 0.0 1.240.0 0.0 0.0 0.0 92.5 -1.79 -1.90 0.0 0.0 0.0 0.0

11 1 1.41 0.0 -2.80e-03 -1.26 0.0 -1.53 0.44 0.0 0.0 0.0 1.180.57 0.0 0.0 0.0 306.1 -0.37 -0.83 0.0 0.0 0.0 0.57

11 2 6.28 0.0 -0.01 -5.65 0.0 -6.85 1.95 0.0 0.0 0.0 5.262.57 0.0 0.0 0.0 306.1 -1.64 -3.71 0.0 0.0 0.0 2.57

11 3 1.08 0.0 -2.15e-03 -0.97 0.0 -1.18 0.33 0.0 0.0 0.0 0.910.44 0.0 0.0 0.0 306.1 -0.28 -0.64 0.0 0.0 0.0 0.44

11 4 5.96 0.0 -0.01 -5.36 0.0 -6.50 1.84 0.0 0.0 0.0 4.992.43 0.0 0.0 0.0 306.1 -1.55 -3.52 0.0 0.0 0.0 2.43

11 5 1.08 0.0 -2.15e-03 -0.97 0.0 -1.18 0.33 0.0 0.0 0.0 0.910.44 0.0 0.0 0.0 306.1 -0.28 -0.64 0.0 0.0 0.0 0.44

11 6 4.33 0.0 -8.63e-03 -3.90 0.0 -4.73 1.34 0.0 0.0 0.0 3.631.77 0.0 0.0 0.0 306.1 -1.13 -2.56 0.0 0.0 0.0 1.77

11 7 1.08 0.0 -2.15e-03 -0.97 0.0 -1.18 0.33 0.0 0.0 0.0 0.910.44 0.0 0.0 0.0 306.1 -0.28 -0.64 0.0 0.0 0.0 0.44

11 8 3.36 0.0 -6.69e-03 -3.02 0.0 -3.66 1.04 0.0 0.0 0.0 2.811.37 0.0 0.0 0.0 306.1 -0.88 -1.98 0.0 0.0 0.0 1.37

11 9 1.08 0.0 -2.15e-03 -0.97 0.0 -1.18 0.33 0.0 0.0 0.0 0.910.44 0.0 0.0 0.0 306.1 -0.28 -0.64 0.0 0.0 0.0 0.44

11 10 3.03 0.0 -6.04e-03 -2.73 0.0 -3.31 0.94 0.0 0.0 0.0 2.541.24 0.0 0.0 0.0 306.1 -0.79 -1.79 0.0 0.0 0.0 1.24

12 1 1.18 0.0 -3.21e-03 -0.42 0.0 -0.83 1.78 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -0.83 1.36 0.0 0.0 0.0 1.18

12 2 5.26 0.0 -0.01 -1.88 0.0 -3.72 7.96 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -3.72 6.08 0.0 0.0 0.0 5.26

12 3 0.91 0.0 -2.47e-03 -0.32 0.0 -0.64 1.37 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -0.64 1.05 0.0 0.0 0.0 0.91

12 4 4.99 0.0 -0.01 -1.79 0.0 -3.53 7.55 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -3.53 5.76 0.0 0.0 0.0 4.99

12 5 0.91 0.0 -2.47e-03 -0.32 0.0 -0.64 1.37 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -0.64 1.05 0.0 0.0 0.0 0.91

12 6 3.63 0.0 -9.90e-03 -1.30 0.0 -2.56 5.49 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -2.56 4.19 0.0 0.0 0.0 3.63

12 7 0.91 0.0 -2.47e-03 -0.32 0.0 -0.64 1.37 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -0.64 1.05 0.0 0.0 0.0 0.91

12 8 2.81 0.0 -7.67e-03 -1.01 0.0 -1.99 4.25 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -1.99 3.25 0.0 0.0 0.0 2.81

12 9 0.91 0.0 -2.47e-03 -0.32 0.0 -0.64 1.37 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -0.64 1.05 0.0 0.0 0.0 0.91

12 10 2.54 0.0 -6.93e-03 -0.91 0.0 -1.79 3.84 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 -1.79 2.93 0.0 0.0 0.0 2.54

13 1 0.56 0.0 3.03e-03 -0.52 0.0 0.87 -0.35 0.0 0.0 0.0 0.560.0 0.0 0.0 0.0 92.5 0.87 -0.87 0.0 0.0 0.0 0.0

13 2 2.51 0.0 0.01 -2.32 0.0 3.91 -1.55 0.0 0.0 0.0 2.510.0 0.0 0.0 0.0 92.5 3.91 -3.87 0.0 0.0 0.0 0.0

13 3 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.430.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.0

13 4 2.38 0.0 0.01 -2.20 0.0 3.70 -1.47 0.0 0.0 0.0 2.380.0 0.0 0.0 0.0 92.5 3.70 -3.67 0.0 0.0 0.0 0.0

13 5 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.43_________________________________________________________________________________________________________________________

147

0.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.013 6 1.73 0.0 9.34e-03 -1.60 0.0 2.69 -1.07 0.0 0.0 0.0 1.73

0.0 0.0 0.0 0.0 92.5 2.69 -2.67 0.0 0.0 0.0 0.013 7 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.43

0.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.013 8 1.34 0.0 7.23e-03 -1.24 0.0 2.09 -0.83 0.0 0.0 0.0 1.34

0.0 0.0 0.0 0.0 92.5 2.09 -2.07 0.0 0.0 0.0 0.013 9 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.43

0.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.013 10 1.21 0.0 6.53e-03 -1.12 0.0 1.88 -0.75 0.0 0.0 0.0 1.21

0.0 0.0 0.0 0.0 92.5 1.88 -1.87 0.0 0.0 0.0 0.014 1 1.36 0.0 -2.51e-03 -1.26 0.0 1.51 0.44 0.0 0.0 0.0 1.14

0.56 0.0 0.0 0.0 294.5 0.44 -0.83 0.0 0.0 0.0 0.5614 2 6.07 0.0 -0.01 -5.65 0.0 6.76 1.95 0.0 0.0 0.0 5.09

2.51 0.0 0.0 0.0 294.5 1.98 -3.70 0.0 0.0 0.0 2.5114 3 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.88

0.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.4314 4 5.76 0.0 -0.01 -5.36 0.0 6.41 1.85 0.0 0.0 0.0 4.83

2.38 0.0 0.0 0.0 294.5 1.88 -3.51 0.0 0.0 0.0 2.3814 5 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.88

0.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.4314 6 4.19 0.0 -7.74e-03 -3.90 0.0 4.66 1.34 0.0 0.0 0.0 3.51

1.73 0.0 0.0 0.0 294.5 1.37 -2.55 0.0 0.0 0.0 1.7314 7 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.88

0.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.4314 8 3.25 0.0 -5.99e-03 -3.02 0.0 3.61 1.04 0.0 0.0 0.0 2.72

1.34 0.0 0.0 0.0 294.5 1.06 -1.98 0.0 0.0 0.0 1.3414 9 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.88

0.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.4314 10 2.93 0.0 -5.41e-03 -2.73 0.0 3.26 0.94 0.0 0.0 0.0 2.46

1.21 0.0 0.0 0.0 294.5 0.96 -1.79 0.0 0.0 0.0 1.2115 1 1.14 0.0 -3.01e-03 -0.42 0.0 0.87 1.73 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 0.87 1.31 0.0 0.0 0.0 1.1415 2 5.09 0.0 -0.01 -1.88 0.0 3.91 7.73 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 3.91 5.85 0.0 0.0 0.0 5.0915 3 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.8815 4 4.83 0.0 -0.01 -1.79 0.0 3.70 7.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 3.70 5.55 0.0 0.0 0.0 4.8315 5 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.8815 6 3.51 0.0 -9.27e-03 -1.30 0.0 2.69 5.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 2.69 4.03 0.0 0.0 0.0 3.5115 7 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.8815 8 2.72 0.0 -7.18e-03 -1.01 0.0 2.09 4.13 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 2.09 3.13 0.0 0.0 0.0 2.7215 9 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.8815 10 2.46 0.0 -6.49e-03 -0.91 0.0 1.88 3.73 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 75.0 1.88 2.82 0.0 0.0 0.0 2.4616 1 0.56 0.0 3.03e-03 -0.52 0.0 0.87 -0.35 0.0 0.0 0.0 0.56

0.0 0.0 0.0 0.0 92.5 0.87 -0.87 0.0 0.0 0.0 0.016 2 2.51 0.0 0.01 -2.32 0.0 3.91 -1.55 0.0 0.0 0.0 2.51

0.0 0.0 0.0 0.0 92.5 3.91 -3.87 0.0 0.0 0.0 0.016 3 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.43

0.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.016 4 2.38 0.0 0.01 -2.20 0.0 3.70 -1.47 0.0 0.0 0.0 2.38

0.0 0.0 0.0 0.0 92.5 3.70 -3.67 0.0 0.0 0.0 0.016 5 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.43

0.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.016 6 1.73 0.0 9.34e-03 -1.60 0.0 2.69 -1.07 0.0 0.0 0.0 1.73

0.0 0.0 0.0 0.0 92.5 2.69 -2.67 0.0 0.0 0.0 0.016 7 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.43

0.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.016 8 1.34 0.0 7.23e-03 -1.24 0.0 2.09 -0.83 0.0 0.0 0.0 1.34

0.0 0.0 0.0 0.0 92.5 2.09 -2.07 0.0 0.0 0.0 0.016 9 0.43 0.0 2.33e-03 -0.40 0.0 0.67 -0.27 0.0 0.0 0.0 0.43

0.0 0.0 0.0 0.0 92.5 0.67 -0.67 0.0 0.0 0.0 0.016 10 1.21 0.0 6.53e-03 -1.12 0.0 1.88 -0.75 0.0 0.0 0.0 1.21

0.0 0.0 0.0 0.0 92.5 1.88 -1.87 0.0 0.0 0.0 0.017 1 1.36 0.0 -2.51e-03 -1.26 0.0 1.51 0.44 0.0 0.0 0.0 1.14

0.56 0.0 0.0 0.0 294.5 0.44 -0.83 0.0 0.0 0.0 0.5617 2 6.07 0.0 -0.01 -5.65 0.0 6.76 1.95 0.0 0.0 0.0 5.09

2.51 0.0 0.0 0.0 294.5 1.98 -3.70 0.0 0.0 0.0 2.5117 3 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.88

0.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.4317 4 5.76 0.0 -0.01 -5.36 0.0 6.41 1.85 0.0 0.0 0.0 4.83

2.38 0.0 0.0 0.0 294.5 1.88 -3.51 0.0 0.0 0.0 2.3817 5 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.88

0.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.4317 6 4.19 0.0 -7.74e-03 -3.90 0.0 4.66 1.34 0.0 0.0 0.0 3.51

1.73 0.0 0.0 0.0 294.5 1.37 -2.55 0.0 0.0 0.0 1.7317 7 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.88

0.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.43_________________________________________________________________________________________________________________________

148

17 8 3.25 0.0 -5.99e-03 -3.02 0.0 3.61 1.04 0.0 0.0 0.0 2.721.34 0.0 0.0 0.0 294.5 1.06 -1.98 0.0 0.0 0.0 1.34

17 9 1.05 0.0 -1.93e-03 -0.97 0.0 1.16 0.34 0.0 0.0 0.0 0.880.43 0.0 0.0 0.0 294.5 0.34 -0.64 0.0 0.0 0.0 0.43

17 10 2.93 0.0 -5.41e-03 -2.73 0.0 3.26 0.94 0.0 0.0 0.0 2.461.21 0.0 0.0 0.0 294.5 0.96 -1.79 0.0 0.0 0.0 1.21

18 1 1.14 0.0 -3.01e-03 -0.42 0.0 0.87 1.73 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 0.87 1.31 0.0 0.0 0.0 1.14

18 2 5.09 0.0 -0.01 -1.88 0.0 3.91 7.73 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 3.91 5.85 0.0 0.0 0.0 5.09

18 3 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.88

18 4 4.83 0.0 -0.01 -1.79 0.0 3.70 7.33 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 3.70 5.55 0.0 0.0 0.0 4.83

18 5 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.88

18 6 3.51 0.0 -9.27e-03 -1.30 0.0 2.69 5.33 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 2.69 4.03 0.0 0.0 0.0 3.51

18 7 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.88

18 8 2.72 0.0 -7.18e-03 -1.01 0.0 2.09 4.13 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 2.09 3.13 0.0 0.0 0.0 2.72

18 9 0.88 0.0 -2.31e-03 -0.32 0.0 0.67 1.33 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 0.67 1.01 0.0 0.0 0.0 0.88

18 10 2.46 0.0 -6.49e-03 -0.91 0.0 1.88 3.73 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 75.0 1.88 2.82 0.0 0.0 0.0 2.46

Trave M3 mx/mn M2 mx/mn D 2 / D 3 Q 2 / Q 3 N V 2 V 3 T0.0 0.0 -0.01 -5.65 -6.85 -3.94 0.0 0.0

6.28 0.0 0.01 0.0 6.76 7.96 0.0 0.0

_________________________________________________________________________________________________________________________

149




















Taglio, Torsione X











PROFILI ACCOPPIATI






_________________________________________________________________________________________________________________________

150


































1 ok s=1,m=11 0.03 0.19 1 2,2,0,02 ok s=1,m=11 0.03 0.45 1 2,2,0,03 ok s=1,m=11 0.06 0.38 1 2,2,0,04 ok s=1,m=11 0.03 0.19 1 2,2,0,05 ok s=1,m=11 0.03 0.45 1 2,2,0,06 ok s=1,m=11 0.06 0.38 1 2,2,0,07 ok s=1,m=11 0.03 0.20 1 2,2,0,08 ok s=1,m=11 0.03 0.47 1 2,2,0,09 ok s=1,m=11 0.06 0.39 1 2,2,0,0

_________________________________________________________________________________________________________________________

151




kN m kN kN kN1 0.0 0.0 0.0 0.0 0.0 0.0 0.02 0.0 0.0 0.0 0.0 0.0 0.0 0.03 0.0 0.0 0.0 0.0 0.0 0.0 0.04 0.0 0.0 0.0 0.0 0.0 0.0 0.05 0.0 0.0 0.0 0.0 0.0 0.0 0.06 0.0 0.0 0.0 0.0 0.0 0.0 0.07 0.0 0.0 0.0 0.0 0.0 0.0 0.08 0.0 0.0 0.0 0.0 0.0 0.0 0.09 0.0 0.0 0.0 0.0 0.0 0.0 0.0

10 0.0 0.0 0.0 0.0 0.0 0.0 0.011 0.0 0.0 0.0 0.0 0.0 0.0 0.012 0.0 0.0 0.0 0.0 0.0 0.0 0.013 0.0 0.0 0.0 0.0 0.0 0.0 0.014 0.0 0.0 0.0 0.0 0.0 0.0 0.015 0.0 0.0 0.0 0.0 0.0 0.0 0.016 0.0 0.0 0.0 0.0 0.0 0.0 0.017 0.0 0.0 0.0 0.0 0.0 0.0 0.018 0.0 0.0 0.0 0.0 0.0 0.0 0.0


0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 0.0 0.0 0.0

7. Ultima rampa scala S4


_________________________________________________________________________________________________________________________

152













_________________________________________________________________________________________________________________________

153


1 cemento armato



2 acciaio







3 muratura



4 legno











Pilastri acc. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..Lunghezze libereMetodo di calcolo 2-2 Assegnato2-2 Beta assegnato 2.002-2 Beta * L assegnato [ cm ] 0.0Metodo di calcolo 3-3 Assegnato

_________________________________________________________________________________________________________________________

154

Pilastri acc. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..3-3 Beta assegnato 2.003-3 Beta * L assegnato [ cm ] 0.01-1 Beta assegnato 1.001-1 Beta * L assegnato [ cm ] 0.0GeneralitàCoefficiente gamma M0 1.05Coefficiente gamma M1 1.05Coefficiente gamma M2 1.25Effetti del 2 ordine SiMomenti equivalenti SiUsa condizioni I e II Si


















_________________________________________________________________________________________________________________________

155




_________________________________________________________________________________________________________________________

156

























3 25.0 65.0 0.0 4 25.0 0.0 0.0 5 -100.0 65.0124.06 -100.0 0.0 124.0



1 92.5 65.0 0.0 v=1111112 92.5 0.0 0.0 v=111111

_________________________________________________________________________________________________________________________

157

7 -302.5 65.0 124.0 v=1111118 -302.5 0.0 124.0 v=111111

_________________________________________________________________________________________________________________________

158




1

2

3X

Y

Z


X

Y

Z













daN/cm31 Trave 3 1 11 1 0000112 Trave 5 3 11 13 Trave 7 5 11 1 0000114 Trave 4 2 11 1 0000115 Trave 6 4 11 16 Trave 8 6 11 1 000011






_________________________________________________________________________________________________________________________

159


Tipo Tipo di carico



Neve Carico di neve



Qk carico variabile






























Momento Momento flettente_________________________________________________________________________________________________________________________

160





































_________________________________________________________________________________________________________________________

161















kN/ m2 kN/ m2 kN/ m21 SM 1 m=11 1.0 90.0 1.00 4.00 2 1 3 42 SM 1 m=11 1.0 90.0 1.00 4.00 6 4 3 53 SM 1 m=11 1.0 90.0 1.00 4.00 8 6 5 7

_________________________________________________________________________________________________________________________

162



















1 dato (pressione)











_________________________________________________________________________________________________________________________

163

FX

FY

FZ

MX

MY

MZ


X

Y

Z

RX

RY

RZ


XY

Z


21

3 q3i

q3f


XY

Z

a


21

3

a

F3




_________________________________________________________________________________________________________________________

164





























Ai fini delle verifiche degli stati limite si definiscono le seguenti combinazioni delle azioni:_________________________________________________________________________________________________________________________

165


G1

G1

+ G2

G2

+ PP +

Q1Q

k1 +

Q2

02Q

k2 +

Q3

03Q

k3 + …


G1 + G

2 + P + Q

k1 +

02Q

k2 +

03Q

k3+ …


G1 + G

2 + P +

11Q

k1 +

22Q

k2 +

23Q

k3 + …


G1 + G2 + P + 21Q

k1 +

22Q

k2 +

23Q

k3 + …


E + G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …


G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …

Dove:



1

2


0,50 0,30


0,50 0,30


0,70 0,60


0,70 0,60


0,90 0,80


0,70

0,70 0,60


0,50 0,30


0,00 0,00

Vento 0,60

0,20 0,00


0,20 0,00


0,50 0,20


0,50 0,00




_________________________________________________________________________________________________________________________

166



Coefficientef

EQU A1 A2


G1

0,91,1

1,01,3

1,01,0



G2

0,01,5

0,01,5

0,01,3


Qi

0,01,5

0,01,5

0,01,3



_________________________________________________________________________________________________________________________

167



tipo pilastro















1

2

3X

Y

Z


X

Y

Z


_________________________________________________________________________________________________________________________

168


m1 1 1.25 0.0 1.34e-03 -0.38 0.0 -2.36 -1.66 0.0 0.0 0.0 1.25

0.0 0.0 0.0 0.0 67.5 -2.36 -2.04 0.0 0.0 0.0 0.01 2 5.60 0.0 6.00e-03 -1.70 0.0 -10.56 -7.44 0.0 0.0 0.0 5.60

0.0 0.0 0.0 0.0 67.5 -10.56 -9.14 0.0 0.0 0.0 0.01 3 0.96 0.0 1.03e-03 -0.29 0.0 -1.82 -1.28 0.0 0.0 0.0 0.96

0.0 0.0 0.0 0.0 67.5 -1.82 -1.57 0.0 0.0 0.0 0.01 4 5.31 0.0 5.69e-03 -1.61 0.0 -10.01 -7.06 0.0 0.0 0.0 5.31

0.0 0.0 0.0 0.0 67.5 -10.01 -8.67 0.0 0.0 0.0 0.01 5 0.96 0.0 1.03e-03 -0.29 0.0 -1.82 -1.28 0.0 0.0 0.0 0.96

0.0 0.0 0.0 0.0 67.5 -1.82 -1.57 0.0 0.0 0.0 0.01 6 3.86 0.0 4.14e-03 -1.17 0.0 -7.28 -5.13 0.0 0.0 0.0 3.86

0.0 0.0 0.0 0.0 67.5 -7.28 -6.30 0.0 0.0 0.0 0.01 7 0.96 0.0 1.03e-03 -0.29 0.0 -1.82 -1.28 0.0 0.0 0.0 0.96

0.0 0.0 0.0 0.0 67.5 -1.82 -1.57 0.0 0.0 0.0 0.01 8 2.99 0.0 3.20e-03 -0.91 0.0 -5.64 -3.98 0.0 0.0 0.0 2.99

0.0 0.0 0.0 0.0 67.5 -5.64 -4.88 0.0 0.0 0.0 0.01 9 0.96 0.0 1.03e-03 -0.29 0.0 -1.82 -1.28 0.0 0.0 0.0 0.96

0.0 0.0 0.0 0.0 67.5 -1.82 -1.57 0.0 0.0 0.0 0.01 10 2.70 0.0 2.89e-03 -0.82 0.0 -5.10 -3.59 0.0 0.0 0.0 2.70

0.0 0.0 0.0 0.0 67.5 -5.10 -4.41 0.0 0.0 0.0 0.02 1 1.25 0.0 -4.55e-04 -0.70 0.0 -2.15 1.18 0.0 0.0 0.0 -

0.22-0.22 0.0 0.0 0.0 176.1 -2.85 0.48 0.0 0.0 0.0 1.25

2 2 5.60 0.0 -2.03e-03 -3.14 0.0 -9.62 5.29 0.0 0.0 0.0 -0.96

-0.96 0.0 0.0 0.0 176.1 -12.74 2.15 0.0 0.0 0.0 5.602 3 0.96 0.0 -3.50e-04 -0.54 0.0 -1.66 0.91 0.0 0.0 0.0 -

0.17-0.17 0.0 0.0 0.0 176.1 -2.19 0.37 0.0 0.0 0.0 0.96

2 4 5.31 0.0 -1.93e-03 -2.98 0.0 -9.13 5.02 0.0 0.0 0.0 -0.91

-0.91 0.0 0.0 0.0 176.1 -12.08 2.04 0.0 0.0 0.0 5.312 5 0.96 0.0 -3.50e-04 -0.54 0.0 -1.66 0.91 0.0 0.0 0.0 -

0.17-0.17 0.0 0.0 0.0 176.1 -2.19 0.37 0.0 0.0 0.0 0.96

2 6 3.86 0.0 -1.40e-03 -2.17 0.0 -6.64 3.65 0.0 0.0 0.0 -0.66

-0.66 0.0 0.0 0.0 176.1 -8.78 1.49 0.0 0.0 0.0 3.862 7 0.96 0.0 -3.50e-04 -0.54 0.0 -1.66 0.91 0.0 0.0 0.0 -

0.17-0.17 0.0 0.0 0.0 176.1 -2.19 0.37 0.0 0.0 0.0 0.96

2 8 2.99 0.0 -1.09e-03 -1.68 0.0 -5.14 2.83 0.0 0.0 0.0 -0.51

-0.51 0.0 0.0 0.0 176.1 -6.81 1.15 0.0 0.0 0.0 2.992 9 0.96 0.0 -3.50e-04 -0.54 0.0 -1.66 0.91 0.0 0.0 0.0 -

0.17-0.17 0.0 0.0 0.0 176.1 -2.19 0.37 0.0 0.0 0.0 0.96

2 10 2.70 0.0 -9.82e-04 -1.52 0.0 -4.64 2.56 0.0 0.0 0.0 -0.46

-0.46 0.0 0.0 0.0 176.1 -6.15 1.04 0.0 0.0 0.0 2.703 1 0.19 0.0 -1.39e-03 -1.14 0.0 -2.36 0.46 0.0 0.0 0.0 0.0

-0.22 0.0 0.0 0.0 202.5 -2.36 -0.68 0.0 0.0 0.0 -0.22

3 2 0.85 0.0 -6.19e-03 -5.09 0.0 -10.56 2.07 0.0 0.0 0.0 0.0-0.96 0.0 0.0 0.0 202.5 -10.56 -3.02 0.0 0.0 0.0 -

0.963 3 0.15 0.0 -1.07e-03 -0.88 0.0 -1.82 0.36 0.0 0.0 0.0 0.0

-0.17 0.0 0.0 0.0 202.5 -1.82 -0.52 0.0 0.0 0.0 -0.17

3 4 0.80 0.0 -5.87e-03 -4.82 0.0 -10.01 1.96 0.0 0.0 0.0 0.0-0.91 0.0 0.0 0.0 202.5 -10.01 -2.86 0.0 0.0 0.0 -

0.913 5 0.15 0.0 -1.07e-03 -0.88 0.0 -1.82 0.36 0.0 0.0 0.0 0.0

-0.17 0.0 0.0 0.0 202.5 -1.82 -0.52 0.0 0.0 0.0 -0.17

3 6 0.58 0.0 -4.27e-03 -3.51 0.0 -7.28 1.43 0.0 0.0 0.0 0.0-0.66 0.0 0.0 0.0 202.5 -7.28 -2.08 0.0 0.0 0.0 -

0.663 7 0.15 0.0 -1.07e-03 -0.88 0.0 -1.82 0.36 0.0 0.0 0.0 0.0

-0.17 0.0 0.0 0.0 202.5 -1.82 -0.52 0.0 0.0 0.0 -0.17

3 8 0.45 0.0 -3.31e-03 -2.72 0.0 -5.64 1.11 0.0 0.0 0.0 0.0-0.51 0.0 0.0 0.0 202.5 -5.64 -1.61 0.0 0.0 0.0 -

0.513 9 0.15 0.0 -1.07e-03 -0.88 0.0 -1.82 0.36 0.0 0.0 0.0 0.0

-0.17 0.0 0.0 0.0 202.5 -1.82 -0.52 0.0 0.0 0.0 -0.17

3 10 0.41 0.0 -2.99e-03 -2.45 0.0 -5.10 1.00 0.0 0.0 0.0 0.0-0.46 0.0 0.0 0.0 202.5 -5.10 -1.46 0.0 0.0 0.0 -

0.464 1 1.25 0.0 1.34e-03 -0.38 0.0 -2.36 -1.66 0.0 0.0 0.0 1.25

0.0 0.0 0.0 0.0 67.5 -2.36 -2.04 0.0 0.0 0.0 0.0_________________________________________________________________________________________________________________________

169

4 2 5.60 0.0 6.00e-03 -1.70 0.0 -10.56 -7.44 0.0 0.0 0.0 5.600.0 0.0 0.0 0.0 67.5 -10.56 -9.14 0.0 0.0 0.0 0.0

4 3 0.96 0.0 1.03e-03 -0.29 0.0 -1.82 -1.28 0.0 0.0 0.0 0.960.0 0.0 0.0 0.0 67.5 -1.82 -1.57 0.0 0.0 0.0 0.0

4 4 5.31 0.0 5.69e-03 -1.61 0.0 -10.01 -7.06 0.0 0.0 0.0 5.310.0 0.0 0.0 0.0 67.5 -10.01 -8.67 0.0 0.0 0.0 0.0

4 5 0.96 0.0 1.03e-03 -0.29 0.0 -1.82 -1.28 0.0 0.0 0.0 0.960.0 0.0 0.0 0.0 67.5 -1.82 -1.57 0.0 0.0 0.0 0.0

4 6 3.86 0.0 4.14e-03 -1.17 0.0 -7.28 -5.13 0.0 0.0 0.0 3.860.0 0.0 0.0 0.0 67.5 -7.28 -6.30 0.0 0.0 0.0 0.0

4 7 0.96 0.0 1.03e-03 -0.29 0.0 -1.82 -1.28 0.0 0.0 0.0 0.960.0 0.0 0.0 0.0 67.5 -1.82 -1.57 0.0 0.0 0.0 0.0

4 8 2.99 0.0 3.20e-03 -0.91 0.0 -5.64 -3.98 0.0 0.0 0.0 2.990.0 0.0 0.0 0.0 67.5 -5.64 -4.88 0.0 0.0 0.0 0.0

4 9 0.96 0.0 1.03e-03 -0.29 0.0 -1.82 -1.28 0.0 0.0 0.0 0.960.0 0.0 0.0 0.0 67.5 -1.82 -1.57 0.0 0.0 0.0 0.0

4 10 2.70 0.0 2.89e-03 -0.82 0.0 -5.10 -3.59 0.0 0.0 0.0 2.700.0 0.0 0.0 0.0 67.5 -5.10 -4.41 0.0 0.0 0.0 0.0

5 1 1.25 0.0 -4.55e-04 -0.70 0.0 -2.15 1.18 0.0 0.0 0.0 -0.22

-0.22 0.0 0.0 0.0 176.1 -2.85 0.48 0.0 0.0 0.0 1.255 2 5.60 0.0 -2.03e-03 -3.14 0.0 -9.62 5.29 0.0 0.0 0.0 -

0.96-0.96 0.0 0.0 0.0 176.1 -12.74 2.15 0.0 0.0 0.0 5.60

5 3 0.96 0.0 -3.50e-04 -0.54 0.0 -1.66 0.91 0.0 0.0 0.0 -0.17

-0.17 0.0 0.0 0.0 176.1 -2.19 0.37 0.0 0.0 0.0 0.965 4 5.31 0.0 -1.93e-03 -2.98 0.0 -9.13 5.02 0.0 0.0 0.0 -

0.91-0.91 0.0 0.0 0.0 176.1 -12.08 2.04 0.0 0.0 0.0 5.31

5 5 0.96 0.0 -3.50e-04 -0.54 0.0 -1.66 0.91 0.0 0.0 0.0 -0.17

-0.17 0.0 0.0 0.0 176.1 -2.19 0.37 0.0 0.0 0.0 0.965 6 3.86 0.0 -1.40e-03 -2.17 0.0 -6.64 3.65 0.0 0.0 0.0 -

0.66-0.66 0.0 0.0 0.0 176.1 -8.78 1.49 0.0 0.0 0.0 3.86

5 7 0.96 0.0 -3.50e-04 -0.54 0.0 -1.66 0.91 0.0 0.0 0.0 -0.17

-0.17 0.0 0.0 0.0 176.1 -2.19 0.37 0.0 0.0 0.0 0.965 8 2.99 0.0 -1.09e-03 -1.68 0.0 -5.14 2.83 0.0 0.0 0.0 -

0.51-0.51 0.0 0.0 0.0 176.1 -6.81 1.15 0.0 0.0 0.0 2.99

5 9 0.96 0.0 -3.50e-04 -0.54 0.0 -1.66 0.91 0.0 0.0 0.0 -0.17

-0.17 0.0 0.0 0.0 176.1 -2.19 0.37 0.0 0.0 0.0 0.965 10 2.70 0.0 -9.82e-04 -1.52 0.0 -4.64 2.56 0.0 0.0 0.0 -

0.46-0.46 0.0 0.0 0.0 176.1 -6.15 1.04 0.0 0.0 0.0 2.70

6 1 0.19 0.0 -1.39e-03 -1.14 0.0 -2.36 0.46 0.0 0.0 0.0 0.0-0.22 0.0 0.0 0.0 202.5 -2.36 -0.68 0.0 0.0 0.0 -

0.226 2 0.85 0.0 -6.19e-03 -5.09 0.0 -10.56 2.07 0.0 0.0 0.0 0.0

-0.96 0.0 0.0 0.0 202.5 -10.56 -3.02 0.0 0.0 0.0 -0.96

6 3 0.15 0.0 -1.07e-03 -0.88 0.0 -1.82 0.36 0.0 0.0 0.0 0.0-0.17 0.0 0.0 0.0 202.5 -1.82 -0.52 0.0 0.0 0.0 -

0.176 4 0.80 0.0 -5.87e-03 -4.82 0.0 -10.01 1.96 0.0 0.0 0.0 0.0

-0.91 0.0 0.0 0.0 202.5 -10.01 -2.86 0.0 0.0 0.0 -0.91

6 5 0.15 0.0 -1.07e-03 -0.88 0.0 -1.82 0.36 0.0 0.0 0.0 0.0-0.17 0.0 0.0 0.0 202.5 -1.82 -0.52 0.0 0.0 0.0 -

0.176 6 0.58 0.0 -4.27e-03 -3.51 0.0 -7.28 1.43 0.0 0.0 0.0 0.0

-0.66 0.0 0.0 0.0 202.5 -7.28 -2.08 0.0 0.0 0.0 -0.66

6 7 0.15 0.0 -1.07e-03 -0.88 0.0 -1.82 0.36 0.0 0.0 0.0 0.0-0.17 0.0 0.0 0.0 202.5 -1.82 -0.52 0.0 0.0 0.0 -

0.176 8 0.45 0.0 -3.31e-03 -2.72 0.0 -5.64 1.11 0.0 0.0 0.0 0.0

-0.51 0.0 0.0 0.0 202.5 -5.64 -1.61 0.0 0.0 0.0 -0.51

6 9 0.15 0.0 -1.07e-03 -0.88 0.0 -1.82 0.36 0.0 0.0 0.0 0.0-0.17 0.0 0.0 0.0 202.5 -1.82 -0.52 0.0 0.0 0.0 -

0.176 10 0.41 0.0 -2.99e-03 -2.45 0.0 -5.10 1.00 0.0 0.0 0.0 0.0

-0.46 0.0 0.0 0.0 202.5 -5.10 -1.46 0.0 0.0 0.0 -0.46

Trave M3 mx/mn M2 mx/mn D 2 / D 3 Q 2 / Q 3 N V 2 V 3 T-0.96 0.0 -6.19e-03 -5.09 -12.74 -9.14 0.0 0.05.60 0.0 6.00e-03 0.0 -1.66 5.29 0.0 0.0

_________________________________________________________________________________________________________________________

170




















Taglio, Torsione X











PROFILI ACCOPPIATI






_________________________________________________________________________________________________________________________

171


































1 ok s=1,m=11 0.07 0.43 1 2,2,0,02 ok s=1,m=11 0.04 0.44 1 2,2,0,03 ok s=1,m=11 0.02 0.10 1 2,2,0,04 ok s=1,m=11 0.07 0.43 1 2,2,0,05 ok s=1,m=11 0.04 0.44 1 2,2,0,06 ok s=1,m=11 0.02 0.10 1 2,2,0,0

_________________________________________________________________________________________________________________________

172



kN m kN kN kN1 0.0 0.0 0.0 0.0 0.0 0.0 0.02 0.0 0.0 0.0 0.0 0.0 0.0 0.03 0.0 0.0 0.0 0.0 0.0 0.0 0.04 0.0 0.0 0.0 0.0 0.0 0.0 0.05 0.0 0.0 0.0 0.0 0.0 0.0 0.06 0.0 0.0 0.0 0.0 0.0 0.0 0.0


0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 0.0 0.0 0.0

_________________________________________________________________________________________________________________________

173

8. Solai +23,20 e +28,84 con scala S5














_________________________________________________________________________________________________________________________

174


1 cemento armato



2 acciaio







3 muratura



4 legno











Pilastri acc. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..Lunghezze libereMetodo di calcolo 2-2 Assegnato2-2 Beta assegnato 2.002-2 Beta * L assegnato [ cm ] 0.0Metodo di calcolo 3-3 Assegnato

_________________________________________________________________________________________________________________________

175

Pilastri acc. 1/7/.. 2/8/.. 3/9/.. 4/10/.. 5/11/.. 6/12/..3-3 Beta assegnato 2.003-3 Beta * L assegnato [ cm ] 0.01-1 Beta assegnato 1.001-1 Beta * L assegnato [ cm ] 0.0GeneralitàCoefficiente gamma M0 1.05Coefficiente gamma M1 1.05Coefficiente gamma M2 1.25Effetti del 2 ordine SiMomenti equivalenti SiUsa condizioni I e II Si


















_________________________________________________________________________________________________________________________

176




_________________________________________________________________________________________________________________________

177






1 UPN 160 24.00 0.0 0.0 7.39 85.10 925.00 18.20 116.00 35.20 138.002 IPE 160 20.10 0.0 0.0 3.60 68.00 869.00 16.70 108.70 26.10 123.903 2 HEB 120 affiancati a dist.=240.00 68.00 0.0 0.0 27.60 3084.00 1728.00 257.00 288.20 408.00 330.404 HEB 160 54.30 0.0 0.0 31.20 889.00 2492.00 111.20 311.50 170.00 354.005 Circolare cava: re=10 ri=8.5 87.18 0.0 0.0 7508.31 3754.15 3754.15 375.42 375.42 514.50 514.506 LU 50x5 4.80 0.0 0.0 0.39 11.00 11.00 3.00 3.00 3.00 3.00



















4 245.0 0.0 0.0 6 321.0 70.0 0.0 10 198.0 200.0 0.014 198.0 138.2 0.0 15 321.0 70.0 282.0 16 321.0 70.0 21.717 379.6 98.2 20.1 18 361.5 120.8 40.3 19 335.5 133.4 60.420 306.5 133.4 80.6 21 280.5 120.8 100.7 22 262.4 98.2120.923 256.0 70.0 141.0 24 262.4 41.8 161.1 25 280.5 19.2181.3

_________________________________________________________________________________________________________________________

178

26 306.5 6.6 201.4 27 335.5 6.6 221.6 28 361.5 19.2241.729 379.6 41.8 261.9 30 386.0 70.0 282.0 31 321.0 70.0260.332 321.0 70.0 238.6 33 321.0 70.0 216.9 34 321.0 70.0195.235 321.0 70.0 173.5 36 321.0 70.0 151.8 37 321.0 70.0130.238 321.0 70.0 108.5 39 321.0 70.0 86.8 40 321.0 70.0 65.141 321.0 70.0 43.4 42 321.0 70.0 564.0 43 321.0 70.0303.744 379.6 98.2 302.1 45 361.5 120.8 322.3 46 335.5 133.4342.447 306.5 133.4 362.6 48 280.5 120.8 382.7 49 262.4 98.2402.950 256.0 70.0 423.0 51 262.4 41.8 443.1 52 280.5 19.2463.353 306.5 6.6 483.4 54 335.5 6.6 503.6 55 361.5 19.2523.756 379.6 41.8 543.9 57 386.0 70.0 564.0 58 321.0 70.0542.359 321.0 70.0 520.6 60 321.0 70.0 498.9 61 321.0 70.0477.262 321.0 70.0 455.5 63 321.0 70.0 433.8 64 321.0 70.0412.265 321.0 70.0 390.5 66 321.0 70.0 368.8 67 321.0 70.0347.168 321.0 70.0 325.4 77 395.0 218.0 564.0 78 303.0 218.0564.079 273.0 218.0 564.0 80 303.0 0.0 564.0 81 395.0 144.0564.082 273.0 144.0 564.0 83 303.0 144.0 564.0 84 385.0 218.0564.085 320.0 218.0 564.0 86 320.0 338.0 684.0 87 385.0 338.0684.0



1 0.0 0.0 0.0 v=1111112 99.0 0.0 0.0 v=1111113 198.0 0.0 0.0 v=1111115 395.0 0.0 0.0 v=1111117 0.0 400.0 0.0 v=1111118 99.0 400.0 0.0 v=1111119 198.0 400.0 0.0 v=111111

11 395.0 200.0 0.0 v=11111112 395.0 400.0 0.0 v=11111113 395.0 138.2 0.0 v=11111169 0.0 0.0 564.0 v=11111170 395.0 0.0 564.0 v=11111171 0.0 400.0 564.0 v=11111172 395.0 400.0 564.0 v=11111173 136.5 0.0 564.0 v=11111174 136.5 400.0 564.0 v=11111175 273.0 0.0 564.0 v=11111176 273.0 400.0 564.0 v=11111188 320.0 395.0 684.0 v=11111189 385.0 395.0 684.0 v=111111




1

2

3X

Y

Z


X

Y

Z







_________________________________________________________________________________________________________________________

179






_________________________________________________________________________________________________________________________

180


daN/cm31 Trave 1 7 11 1 000011 0000112 Trave 7 8 11 1 0000113 Trave 8 9 11 1 000011 0000114 Trave 9 12 11 1 000011 0000115 Trave 11 12 11 1 180.00 000011 0000116 Trave 5 13 11 1 180.00 000011 0000117 Trave 14 13 11 2 000011 0000118 Trave 3 4 11 1 180.00 0000119 Trave 2 3 11 1 180.00 000011 000011

10 Trave 1 2 11 1 180.00 00001111 Trave 2 8 11 4 000011 00001112 Trave 3 14 11 4 00001113 Trave 10 9 11 4 00001114 Trave 10 11 11 2 000011 00001115 Trave 4 6 11 316 Trave 6 13 11 317 Trave 4 5 11 1 180.00 00001118 Trave 13 11 11 1 180.00 000011 00001119 Trave 14 10 11 420 Pilas. 6 16 11 521 Pilas. 31 15 11 522 Pilas. 32 31 11 523 Pilas. 33 32 11 524 Pilas. 34 33 11 525 Pilas. 35 34 11 526 Pilas. 36 35 11 527 Pilas. 37 36 11 528 Pilas. 38 37 11 529 Pilas. 39 38 11 530 Pilas. 40 39 11 531 Pilas. 41 40 11 532 Pilas. 16 41 11 533 Trave 16 17 11 634 Trave 41 18 11 635 Trave 40 19 11 636 Trave 20 39 11 637 Trave 21 38 11 638 Trave 22 37 11 639 Trave 23 36 11 640 Trave 24 35 11 641 Trave 25 34 11 642 Trave 26 33 11 643 Trave 32 27 11 644 Trave 32 28 11 645 Trave 31 29 11 646 Trave 15 30 11 647 Pilas. 15 43 11 548 Pilas. 58 42 11 549 Pilas. 59 58 11 550 Pilas. 60 59 11 551 Pilas. 61 60 11 552 Pilas. 62 61 11 553 Pilas. 63 62 11 554 Pilas. 64 63 11 555 Pilas. 65 64 11 556 Pilas. 66 65 11 557 Pilas. 67 66 11 558 Pilas. 68 67 11 559 Pilas. 43 68 11 560 Trave 43 44 11 661 Trave 68 45 11 662 Trave 67 46 11 663 Trave 47 66 11 664 Trave 48 65 11 665 Trave 49 64 11 666 Trave 50 63 11 667 Trave 51 62 11 668 Trave 52 61 11 669 Trave 53 60 11 670 Trave 59 54 11 671 Trave 59 55 11 672 Trave 58 56 11 673 Trave 42 57 11 674 Trave 73 74 11 4 000011 00001175 Trave 75 82 11 4 00001176 Trave 79 76 11 4 00001177 Trave 82 83 11 2 000011

_________________________________________________________________________________________________________________________

181

78 Trave 80 83 11 2 00001179 Trave 83 78 11 2 00001180 Trave 83 81 11 2 00001181 Trave 78 85 11 282 Trave 79 78 11 2 00001183 Trave 82 79 11 484 Trave 69 71 11 1 000011 00001185 Trave 69 73 11 1 180.00 00001186 Trave 73 75 11 1 180.0087 Trave 75 80 11 1 180.0088 Trave 80 70 11 1 180.00 00001189 Trave 70 81 11 1 180.00 00001190 Trave 81 77 11 1 180.0091 Trave 77 72 11 1 180.00 00001192 Trave 76 72 11 1 00001193 Trave 74 76 11 194 Trave 71 74 11 1 00001095 Trave 80 42 11 296 Trave 85 86 11 1 00001197 Trave 86 88 11 1 00001198 Trave 84 87 11 1 00001199 Trave 87 89 11 1 000011

100 Trave 84 77 11 2 000011101 Trave 85 84 11 2







Tipo Tipo di carico



Neve Carico di neve



Qk carico variabile












_________________________________________________________________________________________________________________________

182











































_________________________________________________________________________________________________________________________

183




























kN/ m2 kN/ m2 kN/ m21 SM 1 m=11 1.0 0.0 1.00 4.00 1 2 8 72 SM 1 m=11 1.0 0.0 1.00 4.00 2 3 10 9 83 SM 1 m=11 1.0 90.0 1.00 4.00 3 4 6 13 144 SM 1 m=11 1.0 90.0 1.00 4.00 4 5 13 65 SM 1 m=11 1.0 90.0 1.00 4.00 14 13 11 106 SM 1 m=11 1.0 0.0 1.00 4.00 69 73 74 717 SM 1 m=11 1.0 0.0 1.00 4.00 73 75 82 79 76

_________________________________________________________________________________________________________________________

184

748 SM 1 m=11 1.0 0.0 1.00 4.00 79 78 77 72 769 SM 1 m=11 1.0 0.0 1.00 4.00 82 83 78 79

10 SM 1 m=11 1.0 90.0 1.00 4.00 83 81 77 7811 SM 1 m=11 1.0 0.0 1.00 4.00 75 80 83 8212 SM 1 m=11 1.0 0.0 1.00 4.00 85 84 87 8613 SM 1 m=11 1.0 0.0 1.00 4.00 86 87 89 88



















1 dato (pressione)









_________________________________________________________________________________________________________________________

185



_________________________________________________________________________________________________________________________

186

FX

FY

FZ

MX

MY

MZ


X

Y

Z

RX

RY

RZ


XY

Z


21

3 q3i

q3f


XY

Z

a


21

3

a

F3




Tipo carico distribuito globale su trave

Id Tipo Pos. fx fy fz mx my mz m kN/ m kN/ m kN/ m kN kN kN

_________________________________________________________________________________________________________________________

187

Id Tipo Pos. fx fy fz mx my mz1 g1 0.0 0.0 0.0 -0.40 0.0 0.0 0.0

0.0 0.0 0.0 -0.40 0.0 0.0 0.02 q 0.0 0.0 0.0 -1.60 0.0 0.0 0.0

0.0 0.0 0.0 -1.60 0.0 0.0 0.0

_________________________________________________________________________________________________________________________

188

























CDC Tipo Sigla Id Note1 Ggk CDC=Ggk (peso proprio della struttura)2 Gsk CDC=G1sk (permanente solai-coperture)3 Qsk CDC=Qsk (variabile solai)4 Gk CDC=G2k (permanente generico n.c.d. ) ......... D2 :da 33 a 46 Azione : g1

D2 :da 60 a 73 Azione : g15 Qk CDC=Qk (variabile generico) ......... D2 :da 33 a 46 Azione : q

D2 :da 60 a 73 Azione : q

_________________________________________________________________________________________________________________________

189






G1

G1

+ G2

G2

+ PP +

Q1Q

k1 +

Q2

02Q

k2 +

Q3

03Q

k3 + …


G1 + G

2 + P + Q

k1 +

02Q

k2 +

03Q

k3+ …


G1 + G

2 + P +

11Q

k1 +

22Q

k2 +

23Q

k3 + …


G1 + G2 + P + 21Q

k1 +

22Q

k2 +

23Q

k3 + …


E + G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …


G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …

Dove:



1

2


0,50 0,30


0,50 0,30


0,70 0,60


0,70 0,60


0,90 0,80


0,70

0,70 0,60


0,50 0,30


0,00 0,00

Vento 0,60

0,20 0,00


0,20 0,00


0,50 0,20


0,50 0,00

_________________________________________________________________________________________________________________________

190






Coefficientef

EQU A1 A2


G1

0,91,1

1,01,3

1,01,0



G2

0,01,5

0,01,5

0,01,3


Qi

0,01,5

0,01,5

0,01,3

_________________________________________________________________________________________________________________________

191

Cmb Tipo Sigla Id effetto P-delta1 SLU Comb. SLU A1 1 2 SLU Comb. SLU A1 2 3 SLE(r) Comb. SLE(rara) 3 4 SLE(f) Comb. SLE(freq.) 4 5 SLE(p) Comb. SLE(perm.) 5

Cmb CDC 1/15... CDC 2/16... CDC 3/17... CDC 4/18... CDC 5/19... CDC 6/20... CDC 7/21... CDC 8/22... CDC 9/23... CDC 10/24... CDC 11/25... CDC 12/26... CDC 13/27... CDC 14/28...1 1.30 1.30 1.50 1.50 1.502 1.00 1.00 1.50 0.0 1.503 1.00 1.00 1.00 1.00 1.004 1.00 1.00 0.70 1.00 0.705 1.00 1.00 0.60 1.00 0.60

8.9 Verifiche per elementi in acciaio

Il programma consente la verifica dei seguenti tipi di elementi:



















Taglio, Torsione X






_________________________________________________________________________________________________________________________

192






PROFILI ACCOPPIATI
































f.Om. T Fattore di amplificazione delle azioni (assiali, flettenti e taglianti) per colonne (prodotto di 1.1 x Omega x gamma rd materiale); utilizzato come specificato al

_________________________________________________________________________________________________________________________

193

par. 7.5.4







1 ok s=1,m=11 0.04 0.21 1 1,1,0,02 ok s=1,m=11 8.14e-04 8.25e-04 1 1,1,0,03 ok s=1,m=11 6.51e-04 8.25e-04 1 1,1,0,04 ok s=1,m=11 1.30e-03 3.27e-03 1 1,1,0,05 ok s=1,m=11 1.31e-03 3.37e-03 1 1,1,0,06 ok s=1,m=11 9.08e-04 1.61e-03 1 1,1,0,07 ok s=2,m=11 0.04 0.09 1 0.11 0.9 0.79 1,1,0,18 ok s=1,m=11 0.09 0.19 1 1,1,0,09 ok s=1,m=11 6.51e-04 8.25e-04 1 1,1,0,0

10 ok s=1,m=11 8.14e-04 8.25e-04 1 1,1,0,011 ok s=4,m=11 0.06 0.17 1 0.19 0.7 0.89 1,1,0,112 ok s=4,m=11 0.05 0.16 1 0.16 0.3 1.00 1,1,0,113 ok s=4,m=11 0.04 0.16 1 0.16 0.3 1.00 1,1,0,114 ok s=2,m=11 0.02 0.04 1 0.05 0.9 0.79 1,1,0,115 ok s=3,m=11 0.01 0.18 1 1,1,0,016 ok s=3,m=11 0.03 0.29 1 1,1,0,017 ok s=1,m=11 0.04 0.19 1 1,1,0,018 ok s=1,m=11 4.07e-04 3.22e-04 1 1,1,0,019 ok s=4,m=11 5.87e-03 0.17 1 0.17 0.2 1.00 1,1,0,133 NV s=6,m=11 0.05 1.02 3 1,1,0,034 NV s=6,m=11 0.05 1.02 3 1,1,0,035 NV s=6,m=11 0.05 1.02 3 1,1,0,036 NV s=6,m=11 0.05 1.03 3 1,1,0,037 NV s=6,m=11 0.05 1.03 3 1,1,0,038 NV s=6,m=11 0.05 1.03 3 1,1,0,039 NV s=6,m=11 0.05 1.03 3 1,1,0,040 NV s=6,m=11 0.05 1.04 3 1,1,0,041 NV s=6,m=11 0.05 1.04 3 1,1,0,042 NV s=6,m=11 0.05 1.05 3 1,1,0,043 NV s=6,m=11 0.05 1.05 3 1,1,0,044 NV s=6,m=11 0.05 1.02 3 1,1,0,045 NV s=6,m=11 0.05 1.02 3 1,1,0,046 NV s=6,m=11 0.05 1.02 3 1,1,0,060 NV s=6,m=11 0.05 1.02 3 1,1,0,061 NV s=6,m=11 0.05 1.02 3 1,1,0,062 NV s=6,m=11 0.05 1.02 3 1,1,0,063 NV s=6,m=11 0.05 1.03 3 1,1,0,064 NV s=6,m=11 0.05 1.03 3 1,1,0,065 NV s=6,m=11 0.05 1.03 3 1,1,0,066 NV s=6,m=11 0.05 1.03 3 1,1,0,067 NV s=6,m=11 0.05 1.04 3 1,1,0,068 NV s=6,m=11 0.05 1.04 3 1,1,0,069 NV s=6,m=11 0.05 1.05 3 1,1,0,070 NV s=6,m=11 0.05 1.05 3 1,1,0,071 NV s=6,m=11 0.05 1.02 3 1,1,0,072 NV s=6,m=11 0.05 1.02 3 1,1,0,073 NV s=6,m=11 0.05 1.02 3 1,1,0,074 ok s=4,m=11 0.08 0.23 1 0.26 0.7 0.89 1,1,0,175 ok s=4,m=11 0.05 0.12 1 0.12 0.3 1.00 1,1,0,176 ok s=4,m=11 0.06 0.16 1 0.15 0.3 1.00 1,1,0,177 ok s=2,m=11 0.03 0.20 1 0.03 0.1 1.00 1,1,0,178 ok s=2,m=11 0.02 0.14 1 0.12 0.5 0.98 1,1,0,179 ok s=2,m=11 0.04 0.17 1 0.12 0.3 1.00 1,1,0,180 ok s=2,m=11 0.02 0.12 1 0.03 0.4 1.00 1,1,0,181 ok s=2,m=11 0.08 0.25 1 0.03 7.12e-02 1.00 1,1,0,182 ok s=2,m=11 0.02 0.17 1 1.24e-03 0.1 1.00 1,1,0,183 ok s=4,m=11 0.02 0.16 1 0.15 0.2 1.00 1,1,0,184 ok s=1,m=11 0.06 0.29 1 1,1,0,085 ok s=1,m=11 1.12e-03 1.57e-03 1 1,1,0,086 ok s=1,m=11 8.97e-04 1.05e-03 1 1,1,0,087 ok s=1,m=11 0.07 0.40 1 1,1,0,088 ok s=1,m=11 0.02 0.15 1 1,1,0,089 ok s=1,m=11 5.32e-03 0.04 1 1,1,0,090 ok s=1,m=11 2.69e-03 0.05 1 1,1,0,091 ok s=1,m=11 0.03 0.09 1 1,1,0,0

_________________________________________________________________________________________________________________________

194

92 ok s=1,m=11 1.00e-03 1.25e-03 1 1,1,0,093 ok s=1,m=11 8.97e-04 1.05e-03 1 1,1,0,094 ok s=1,m=11 8.97e-04 1.05e-03 1 1,1,0,095 ok s=2,m=11 0.06 0.23 1 0.19 0.3 1.00 1,1,0,196 ok s=1,m=11 0.03 0.24 1 1,1,0,097 ok s=1,m=11 0.07 0.23 1 1,1,0,098 ok s=1,m=11 0.02 0.16 1 1,1,0,099 ok s=1,m=11 0.05 0.15 1 1,1,0,0

100 ok s=2,m=11 0.06 0.16 1 0.01 4.25e-02 1.00 1,1,0,1101 ok s=2,m=11 0.01 0.25 1 0.03 0.3 1.00 1,1,0,1


0.09 1.05 0.26 0.89

Pilas. Stato Note V V/T V N/M V stab Cl. LamS 22 LamS 33 Snell. Chi mn V flst LamS LT Chi LT Rif. cmb

20 ok s=5,m=11 2.92e-03 0.04 1 1,1,0,021 ok s=5,m=11 2.92e-03 0.04 1 1,1,0,022 ok s=5,m=11 2.92e-03 0.05 1 1,1,0,023 ok s=5,m=11 2.92e-03 0.04 1 1,1,0,024 ok s=5,m=11 2.92e-03 0.04 1 1,1,0,025 ok s=5,m=11 2.92e-03 0.04 1 1,1,0,026 ok s=5,m=11 2.92e-03 0.04 1 1,1,0,027 ok s=5,m=11 2.92e-03 0.03 1 1,1,0,028 ok s=5,m=11 2.92e-03 0.03 1 1,1,0,029 ok s=5,m=11 2.92e-03 0.03 1 1,1,0,030 ok s=5,m=11 2.92e-03 0.03 1 1,1,0,031 ok s=5,m=11 2.92e-03 0.03 1 1,1,0,032 ok s=5,m=11 2.92e-03 0.04 1 1,1,0,047 ok s=5,m=11 2.92e-03 0.04 1 1,1,0,048 ok s=5,m=11 2.92e-03 0.05 1 1,1,0,049 ok s=5,m=11 2.92e-03 0.05 1 1,1,0,050 ok s=5,m=11 2.92e-03 0.04 1 1,1,0,051 ok s=5,m=11 2.92e-03 0.04 1 1,1,0,052 ok s=5,m=11 2.92e-03 0.03 1 1,1,0,053 ok s=5,m=11 2.92e-03 0.03 1 1,1,0,054 ok s=5,m=11 2.92e-03 0.02 1 1,1,0,055 ok s=5,m=11 2.92e-03 0.02 1 1,1,0,056 ok s=5,m=11 2.92e-03 0.03 1 1,1,0,057 ok s=5,m=11 2.92e-03 0.03 1 1,1,0,058 ok s=5,m=11 2.92e-03 0.03 1 1,1,0,059 ok s=5,m=11 2.92e-03 0.04 1 1,1,0,0

Pilas. V V/T V N/M V stab LamS 22 LamS 33 Snell. Chi mn V flst LamS LT Chi LT2.92e-03 0.05

9. Solai +34,74 con scala S6


_________________________________________________________________________________________________________________________

195














1 cemento armato



2 acciaio



_________________________________________________________________________________________________________________________

196





3 muratura



4 legno












_________________________________________________________________________________________________________________________

197


_________________________________________________________________________________________________________________________

198




















_________________________________________________________________________________________________________________________

199






1 Rettangolare cava: b=6 h=12 bi=5.2 hi=11.2 13.76 0.0 0.0 196.27 84.77 255.20 28.26 42.53 32.29 52.932 HEB 160 54.30 0.0 0.0 31.20 889.00 2492.00 111.20 311.50 170.00 354.003 UPN 160 24.00 0.0 0.0 7.39 85.10 925.00 18.20 116.00 35.20 138.00



















3 25.0 0.0 0.0 4 25.0 65.0 0.0 5 215.0 65.0125.06 215.0 0.0 125.0 10 25.0 135.0 250.0 12 25.0 70.0250.0

14 215.0 135.0 125.0 15 215.0 70.0 125.0 17 315.0 0.0429.020 90.0 0.0 250.0 21 90.0 65.0 250.0 22 315.0 65.0429.023 100.0 -132.0 429.0 24 5.0 -132.0 429.0 35 315.0 -5.0429.036 100.0 -182.0 498.0 37 5.0 -182.0 498.0 41 5.0 -97.0429.042 100.0 -97.0 429.0 43 210.5 -97.0 429.0

_________________________________________________________________________________________________________________________

200



1 0.0 0.0 0.0 v=1111112 0.0 65.0 0.0 v=1111117 368.0 0.0 125.0 v=1111118 368.0 65.0 125.0 v=1111119 368.0 135.0 125.0 v=111111

11 0.0 70.0 250.0 v=11111113 0.0 135.0 250.0 v=11111116 368.0 70.0 125.0 v=11111118 0.0 65.0 250.0 v=11111119 0.0 0.0 250.0 v=11111125 315.0 135.0 429.0 v=11111126 421.0 135.0 429.0 v=11111127 421.0 -5.0 429.0 v=11111128 0.0 -5.0 429.0 v=11111129 421.0 -97.0 429.0 v=11111130 421.0 -189.0 429.0 v=11111131 421.0 -281.0 429.0 v=11111132 0.0 -97.0 429.0 v=11111133 0.0 -189.0 429.0 v=11111134 0.0 -281.0 429.0 v=11111138 5.0 -281.0 498.0 v=11111139 0.0 135.0 429.0 v=11111140 100.0 -281.0 498.0 v=111111




1

2

3X

Y

Z


X

Y

Z












_________________________________________________________________________________________________________________________

201



10 Trave 13 10 11 1 00001111 Trave 10 14 11 112 Trave 14 9 11 1 00001113 Trave 19 20 11 1 00001114 Trave 20 17 11 115 Trave 35 27 11 2 00001116 Trave 18 21 11 1 00001117 Trave 21 22 11 118 Trave 35 17 11 3 00001119 Trave 32 41 11 2 00001120 Trave 33 30 11 2 000011 00001121 Trave 28 35 11 2 00001122 Trave 31 30 11 3 180.00 000011 00001123 Trave 30 29 11 3 180.00 000011 00001124 Trave 29 27 11 3 180.00 000011 00001125 Trave 27 26 11 3 180.00 000011 00001126 Trave 25 26 11 3 000011 00001127 Trave 39 25 11 3 000011 00001128 Trave 28 39 11 3 000011 00001129 Trave 32 28 11 3 000011 00001130 Trave 33 32 11 3 000011 00001131 Trave 34 33 11 3 000011 00001132 Trave 34 31 11 3 180.00 000011 00001133 Trave 23 42 11 1 00001134 Trave 36 23 11 135 Trave 40 36 11 1 00001136 Trave 24 41 11 1 00001137 Trave 37 24 11 138 Trave 38 37 11 1 00001139 Trave 22 25 11 3 00001140 Trave 43 29 11 2 00001141 Trave 17 22 11 3 00001142 Trave 41 42 11 2 00001143 Trave 42 43 11 2







Tipo Tipo di carico



Neve Carico di neve



Qk carico variabile


_________________________________________________________________________________________________________________________

202







































_________________________________________________________________________________________________________________________

203





































_________________________________________________________________________________________________________________________

204






kN/ m2 kN/ m2 kN/ m21 SM 1 m=11 1.0 90.0 1.00 4.00 1 3 4 22 SM 1 m=11 1.0 90.0 1.00 4.00 3 6 5 43 SM 1 m=11 1.0 90.0 1.00 4.00 6 7 8 54 SM 1 m=11 1.0 90.0 1.00 4.00 11 12 10 135 SM 1 m=11 1.0 90.0 1.00 4.00 15 16 9 146 SM 1 m=11 1.0 90.0 1.00 4.00 12 15 14 107 SM 1 m=11 1.0 90.0 1.00 4.00 19 20 21 188 SM 1 m=11 1.0 90.0 1.00 4.00 21 20 17 229 SM 1 m=11 1.0 0.0 1.00 4.00 27 26 25 17 35

10 SM 1 m=11 1.0 90.0 1.00 4.00 29 27 28 32 4142

11 SM 1 m=11 1.0 90.0 1.00 4.00 30 29 42 41 3233

12 SM 1 m=11 1.0 90.0 1.00 4.00 31 30 33 3413 SM 1 m=11 1.0 0.0 1.00 4.00 42 41 24 2314 SM 1 m=11 1.0 0.0 1.00 4.00 23 24 37 3615 SM 1 m=11 1.0 0.0 1.00 4.00 40 36 37 38















_________________________________________________________________________________________________________________________

205





1 dato (pressione)











_________________________________________________________________________________________________________________________

206

FX

FY

FZ

MX

MY

MZ


X

Y

Z

RX

RY

RZ


XY

Z


21

3 q3i

q3f


XY

Z

a


21

3

a

F3




_________________________________________________________________________________________________________________________

207


























_________________________________________________________________________________________________________________________

208






G1

G1

+ G2

G2

+ PP +

Q1Q

k1 +

Q2

02Q

k2 +

Q3

03Q

k3 + …


G1 + G

2 + P + Q

k1 +

02Q

k2 +

03Q

k3+ …


G1 + G

2 + P +

11Q

k1 +

22Q

k2 +

23Q

k3 + …


G1 + G2 + P + 21Q

k1 +

22Q

k2 +

23Q

k3 + …


E + G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …


G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …

Dove:



1

2


0,50 0,30


0,50 0,30


0,70 0,60


0,70 0,60


0,90 0,80


0,70

0,70 0,60


0,50 0,30


0,00 0,00

Vento 0,60

0,20 0,00


0,20 0,00


0,50 0,20


0,50 0,00

_________________________________________________________________________________________________________________________

209






Coefficientef

EQU A1 A2


G1

0,91,1

1,01,3

1,01,0



G2

0,01,5

0,01,5

0,01,3


Qi

0,01,5

0,01,5

0,01,3

_________________________________________________________________________________________________________________________

210






















Taglio, Torsione X

_________________________________________________________________________________________________________________________

211











PROFILI ACCOPPIATI




















V stab(TRAVI E PILASTRI) verifica come da par. 4.2.4.1.3 per punti (C4.2.32) o (C4.2.36) (membrature inflesse e compresse senza/con presenza di instabilitàflesso-torsionale









_________________________________________________________________________________________________________________________

212




f.Om. T Fattore di amplificazione delle azioni (assiali, flettenti e taglianti) per colonne (prodotto di 1.1 x Omega x gamma rd materiale); utilizzato come specificato alpar. 7.5.4








10 ok s=1,m=11 0.07 0.19 1 2,2,0,011 ok s=1,m=11 0.03 0.21 1 2,2,0,012 ok s=1,m=11 0.02 0.13 1 2,2,0,013 ok s=1,m=11 0.07 0.09 1 2,2,0,014 ok s=1,m=11 0.04 0.25 1 2,2,0,015 ok s=2,m=11 0.07 0.19 1 0.19 0.2 1.00 2,2,0,216 ok s=1,m=11 0.02 0.08 1 2,2,0,017 ok s=1,m=11 0.02 0.21 1 2,2,0,018 ok s=3,m=11 0.12 0.05 1 2,2,0,019 ok s=2,m=11 0.09 0.01 1 0.01 1.01e-02 1.00 2,2,0,220 ok s=2,m=11 0.06 0.17 1 0.20 0.7 0.88 2,2,0,221 ok s=2,m=11 0.04 0.19 1 0.19 0.5 1.00 2,2,0,222 ok s=3,m=11 6.05e-04 7.12e-04 1 1,1,0,023 ok s=3,m=11 6.05e-04 7.12e-04 1 1,1,0,024 ok s=3,m=11 6.05e-04 7.12e-04 1 1,1,0,025 ok s=3,m=11 0.02 0.03 1 2,2,0,026 ok s=3,m=11 6.97e-04 9.46e-04 1 1,1,0,027 ok s=3,m=11 2.07e-03 8.35e-03 1 1,1,0,028 ok s=3,m=11 9.20e-04 1.65e-03 1 1,1,0,029 ok s=3,m=11 6.05e-04 7.12e-04 1 1,1,0,030 ok s=3,m=11 6.05e-04 7.12e-04 1 1,1,0,031 ok s=3,m=11 6.05e-04 7.12e-04 1 1,1,0,032 ok s=3,m=11 0.04 0.22 1 2,2,0,033 ok s=1,m=11 0.03 0.08 1 2,2,0,034 ok s=1,m=11 0.02 0.22 1 2,2,0,035 ok s=1,m=11 0.03 0.20 1 2,2,0,036 ok s=1,m=11 0.14 0.11 1 2,2,0,037 ok s=1,m=11 0.08 0.23 1 2,2,0,038 ok s=1,m=11 0.14 0.10 1 2,2,0,039 ok s=3,m=11 0.04 0.26 1 2,2,0,040 ok s=2,m=11 0.06 0.21 1 0.19 0.5 1.00 2,2,0,241 ok s=3,m=11 0.03 0.24 1 2,2,0,042 ok s=2,m=11 0.07 0.18 1 0.15 0.2 1.00 2,2,0,243 ok s=2,m=11 0.03 0.21 1 0.20 0.6 0.95 2,2,0,2


0.14 0.26 0.20 0.74

_________________________________________________________________________________________________________________________

213

10.Solai +37,50 con scala S7


_________________________________________________________________________________________________________________________

214














1 cemento armato



2 acciaio







3 muratura



4 legno








_________________________________________________________________________________________________________________________

215






_________________________________________________________________________________________________________________________

216




















_________________________________________________________________________________________________________________________

217

























5 325.0 211.0 190.0 8 325.0 111.0 190.0


cm cm cm daN/cm daN/cm daN/cm daN cm/rad daN cm/rad daN

_________________________________________________________________________________________________________________________

218

cm/rad1 0.0 0.0 190.0 v=1111112 0.0 106.0 190.0 v=1111113 0.0 111.0 0.0 v=1111114 0.0 211.0 0.0 v=1111116 429.0 211.0 190.0 v=1111117 429.0 111.0 190.0 v=1111119 0.0 -106.0 190.0 v=111111

10 429.0 106.0 190.0 v=11111111 429.0 -106.0 190.0 v=11111112 429.0 0.0 190.0 v=111111

_________________________________________________________________________________________________________________________

219




1

2

3X

Y

Z


X

Y

Z












_________________________________________________________________________________________________________________________

220


daN/cm31 Trave 4 5 11 1 0000112 Trave 5 6 11 1 0000113 Trave 3 8 11 1 0000114 Trave 8 7 11 1 0000115 Trave 1 12 11 2 000011 0000116 Trave 2 10 11 2 000011 0000117 Trave 9 11 11 3 180.00 000011 000011







Tipo Tipo di carico



Neve Carico di neve



Qk carico variabile


















_________________________________________________________________________________________________________________________

221








































_________________________________________________________________________________________________________________________

222






















Con riferimento al Documento di Affidabilità “Test di validazione del software di calcolo PRO_SAP e dei moduli aggiuntivi PRO_SAP Modulo Geotecnico, PRO_CAD nodi acciaio e PRO_MST” -versione Maggio 2011, disponibile per il download sul sito www.2si.it, si segnalano i seguenti esempi applicativi:

Test N° Titolo

14 ANALISI DEI CARICHI PER UN SOLAIO DI COPERTURA

15 EFFETTI DELLO SPESSORE SULLA RIGIDEZZA DEI SOLAI

16 SOLAIO: CONFRONTO FRA RIGIDO E DEFORMABILE

17 SOLAIO: MISTO LEGNO-CALCESTRUZZO

28 FRECCIA DI SOLAI IN C.A.

119 PROGETTO E VERIFICA DI SOLAI IN MATERIALE XLAM



_________________________________________________________________________________________________________________________

223

http://www.2si.it


kN/ m2 kN/ m2 kN/ m21 SM 1 m=11 1.0 90.0 1.00 4.00 9 11 12 12 SM 1 m=11 1.0 90.0 1.00 4.00 12 10 2 13 SM 1 m=11 1.0 90.0 1.00 4.00 8 7 6 54 SM 1 m=11 1.0 90.0 1.00 4.00 3 8 5 4



















1 dato (pressione)










_________________________________________________________________________________________________________________________

224


FX

FY

FZ

MX

MY

MZ


X

Y

Z

RX

RY

RZ


XY

Z


21

3 q3i

q3f


XY

Z

a


21

3

a

F3




_________________________________________________________________________________________________________________________

225


























_________________________________________________________________________________________________________________________

226

10.8 Definizione delle combinazioni

Il programma combina i diversi tipi di casi di carico (CDC) secondo le regole previste dalla normativa vigente.





G1

G1

+ G2

G2

+ PP +

Q1Q

k1 +

Q2

02Q

k2 +

Q3

03Q

k3 + …


G1 + G

2 + P + Q

k1 +

02Q

k2 +

03Q

k3+ …


G1 + G

2 + P +

11Q

k1 +

22Q

k2 +

23Q

k3 + …


G1 + G2 + P + 21Q

k1 +

22Q

k2 +

23Q

k3 + …


E + G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …


G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …

Dove:



1

2


0,50 0,30


0,50 0,30


0,70 0,60


0,70 0,60


0,90 0,80


0,70

0,70 0,60


0,50 0,30


0,00 0,00

Vento 0,60

0,20 0,00


0,20 0,00


0,50 0,20


0,50 0,00

_________________________________________________________________________________________________________________________

227






Coefficientef

EQU A1 A2


G1

0,91,1

1,01,3

1,01,0



G2

0,01,5

0,01,5

0,01,3


Qi

0,01,5

0,01,5

0,01,3

_________________________________________________________________________________________________________________________

228






















Taglio, Torsione X

_________________________________________________________________________________________________________________________

229









_________________________________________________________________________________________________________________________

230



PROFILI ACCOPPIATI





































sovr. Xi (Xf, Yi, Yf) Valore della sovraresistenza come prevista al par. 7.5.4.3 (i valori non sono normalizzati pertanto saranno maggiori uguali a gamma rd classe di duttilità)_________________________________________________________________________________________________________________________

231


1 ok s=1,m=11 0.05 0.38 0.56 1 1.7 1.0 151.7 0.29 2,2,2,02 ok s=1,m=11 0.04 0.38 1 2,2,0,03 ok s=1,m=11 0.05 0.38 0.56 1 1.7 1.0 151.7 0.29 2,2,2,04 ok s=1,m=11 0.04 0.38 1 2,2,0,05 ok s=2,m=11 0.07 0.21 1 0.24 0.7 0.87 2,2,0,26 ok s=2,m=11 0.04 0.11 1 0.13 0.7 0.87 2,2,0,27 ok s=3,m=11 0.05 0.26 1 2,2,0,0


0.07 0.38 0.56 1.75 1.01 151.68 0.24 0.75

11. Solai +42,10 con scala S8








_________________________________________________________________________________________________________________________

232








1 cemento armato



2 acciaio







3 muratura



4 legno











_________________________________________________________________________________________________________________________

233

















_________________________________________________________________________________________________________________________

234






_________________________________________________________________________________________________________________________

235

























4 -131.0 142.0 0.0 11 -122.0 137.0 -459.9 12 -122.0 71.0 -459.9

13 -335.0 71.0 -219.0 14 -335.0 137.0 -219.0 17 -131.0 66.0 0.018 -131.0 0.0 0.0 19 -323.0 0.0 -219.0 20 -323.0 66.0 -

219.0

_________________________________________________________________________________________________________________________

236



1 0.0 0.0 0.0 v=1111112 0.0 66.0 0.0 v=1111113 0.0 71.0 -459.9 v=1111115 0.0 142.0 0.0 v=1111116 0.0 266.0 0.0 v=1111117 0.0 390.0 0.0 v=1111118 -429.0 390.0 0.0 v=1111119 -429.0 266.0 0.0 v=111111

10 -429.0 142.0 0.0 v=11111115 -429.0 137.0 -219.0 v=11111116 -429.0 71.0 -219.0 v=11111121 -429.0 0.0 -219.0 v=11111122 -429.0 66.0 -219.0 v=11111123 0.0 137.0 -459.9 v=111111

_________________________________________________________________________________________________________________________

237

11.4 Modellazione struttura: elementi trave

Il programma utilizza per la modellazione elementi a due nodi denominati in generale travi.



1

2

3X

Y

Z


X

Y

Z














10 Trave 11 23 11 1 00001111 Trave 14 11 11 112 Trave 15 14 11 1 00001113 Trave 9 6 11 2 000011 00001114 Trave 10 4 11 2 00001115 Trave 4 5 11 2 00001116 Trave 8 7 11 3 000011 00001117 Trave 17 4 11 3 000011 000011

_________________________________________________________________________________________________________________________

238







Tipo Tipo di carico



Neve Carico di neve



Qk carico variabile
























_________________________________________________________________________________________________________________________

239







































_________________________________________________________________________________________________________________________

240




















kN/ m2 kN/ m2 kN/ m21 SM 1 m=11 1.0 90.0 1.00 4.00 15 16 13 142 SM 1 m=11 1.0 90.0 1.00 4.00 14 13 12 113 SM 1 m=11 1.0 90.0 1.00 4.00 11 12 3 234 SM 1 m=11 1.0 90.0 1.00 4.00 22 21 19 205 SM 1 m=11 1.0 90.0 1.00 4.00 20 19 18 176 SM 1 m=11 1.0 90.0 1.00 4.00 17 18 1 27 SM 1 m=11 1.0 90.0 1.00 4.00 4 17 2 58 SM 1 m=11 1.0 90.0 1.00 4.00 9 10 4 5 69 SM 1 m=11 1.0 90.0 1.00 4.00 8 9 6 7








_________________________________________________________________________________________________________________________

241












1 dato (pressione)











_________________________________________________________________________________________________________________________

242

FX

FY

FZ

MX

MY

MZ


X

Y

Z

RX

RY

RZ


XY

Z


21

3 q3i

q3f


XY

Z

a


21

3

a

F3




11.7 Schematizzazione dei casi di carico

Il programma consente l’applicazione di diverse tipologie di casi di carico.





_________________________________________________________________________________________________________________________

243


























G1

G1

+ G2

G2

+ PP +

Q1Q

k1 +

Q2

02Q

k2 +

Q3

03Q

k3 + …


_________________________________________________________________________________________________________________________

244

G1 + G

2 + P + Q

k1 +

02Q

k2 +

03Q

k3+ …


G1 + G

2 + P +

11Q

k1 +

22Q

k2 +

23Q

k3 + …


G1 + G2 + P + 21Q

k1 +

22Q

k2 +

23Q

k3 + …


E + G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …


G1 + G

2 + P +

21Q

k1 +

22Q

k2 + …

Dove:



1

2


0,50 0,30


0,50 0,30


0,70 0,60


0,70 0,60


0,90 0,80


0,70

0,70 0,60


0,50 0,30


0,00 0,00

Vento 0,60

0,20 0,00


0,20 0,00


0,50 0,20


0,50 0,00






Coefficientef

EQU A1 A2


G1

0,91,1

1,01,3

1,01,0

_________________________________________________________________________________________________________________________

245



G2

0,01,5

0,01,5

0,01,3


Qi

0,01,5

0,01,5

0,01,3



















_________________________________________________________________________________________________________________________

246




Taglio, Torsione X











PROFILI ACCOPPIATI























_________________________________________________________________________________________________________________________

247


















10 ok s=1,m=11 0.03 0.25 1 2,2,0,011 ok s=1,m=11 0.03 0.62 1 2,2,0,012 ok s=1,m=11 0.07 0.57 1 2,2,0,013 ok s=2,m=11 0.08 0.24 1 0.27 0.7 0.87 2,2,0,214 ok s=2,m=11 0.04 0.14 1 0.14 0.4 1.00 2,2,0,215 ok s=2,m=11 0.05 0.13 1 0.13 0.2 1.00 2,2,0,216 ok s=3,m=11 0.06 0.30 1 2,2,0,017 ok s=3,m=11 0.13 4.86e-04 1 2,2,0,0


0.13 0.70 0.27 0.75

Il Progettista

_______________________

_________________________________________________________________________________________________________________________

248

Documents

INDICE - diocesimaterairsina.it · 1. Oggetto Il presente documento si configura come Tabulati di calcolo relativamente agli interventi strutturali di consolidamento da eseguirsi