UNIVERSITATEA "DUNREA DE JOS" DIN GALAIFACULTATEA DE NAVEDISCIPLINA ARHITECTUR NAVALPROIECT Arhitectur NavalDUMANOVSKI IONUgrupa 2132Anul universitar 2002-2003Proiect la Arhitectur Naval CUPRINS:pag.Tema proiectului3Determinarea nlimii de construcie41. Determinarea selaturii punii principale42. Construcia i trasarea planului de forme54.1 Extragerea tabelului de trasaj pe cuple54.2 Trasarea propriu-zisa a planului de forme53. Tabelul de trasaj al navei74. Calculele hidrostatice pe plutiri drepte 125. Diagrama de carene drepte296. Calculul ariilor transversale imerse307. Construcia diagramei BONJEAN30 8. Predicia de ncrcare __ ________________ 459. Calculul stabilitii la unghiuri mari de nclinare ______ 4610. Calculul criteriilor de stabilitate IMO in situaia de plina ncrcare_______5311. Bibliografie________________________ 57 2/84Proiect la Arhitectur Naval TEMA DE PROIECTPornind de la urmtoarele date iniiale: Lungimea intre perpendiculare a navei- Lpp = 112 m Rapoartele intre dimensiuni L/B, respectiv B/d- L/B = 6,5- B/d = 2,7 Coeficientul bloc- CB = 0,7Sa se efectueze urmtoarele calcule i desene:1. Determinarea dimensiunilor principale L, B, d, calculul bordului liber minim i a nlimii de construcie2. Calculul selaturii longitudinale conform Load Lines i determinarea ordonatelor liniei punii3. Tabelul de trasaj al navei adimensionale;4. Tabelul de trasaj adimensional al navei de proiectat;5. Trasarea planului de forme6. Calculele pe plutiri drepte;7. Trasarea diagramei de carene drepte;8. Calculul seciunilor transversale ale navei;9. Trasarea diagramei Bonjean;10. Verificarea stabilitii iniiale a navei n cazuri tipice de ncrcare;11. Construcia diagramei de stabilitate statica la plina ncrcare;12. Verificarea stabilitii conform IMO sau RNR;13. Construcia diagramei de lungimi inundabile 3/84Proiect la Arhitectur Naval 2. Determinarea dimensiunilor principale L, B, d, calculul bordului liber minim i a nlimii de construcieDin raportul 5 , 6 BLrezult limea navei:mLB 2 , 175 , 61125 , 6 ;adoptat: B=17,2 mDin raportul 7 , 2 dB rezult pescajul navei: mBd 4 , 67 , 22 , 177 , 2 ;adoptat: d=6,4 mBordul liber reglementat pentru lungimea dem 112este m F 417 , 10 (conform [1] tabel 3.1, pag.49). Rezult cbordul liber al navei va fi m F 7 , 1 417 , 1 2 , 1 .adoptat: F=1,7 mPutem acum calcula nlimea de construcie a navei: ; 1 , 8 4 , 6 7 , 1 m d F D + + adoptat: D=8,1 m3. Calculul selaturii longitudinale conform Load Lines i determinarea ordonatelor liniei puniiSelatura longitudinal n bord a punii principale a fost determinat conform [1], cap.3.6, pag.56 i este prezentat ntabelul nr.1. Aacumseobservcurbacareseobinetreceprin7punctentrecare valoarea de la cuplul maestru are sgeata 0 i nlimea n dreptul acesteia este D=8,1 m.Tabelul nr.1Poziia Ordonata CoeficientJumtatea pupa Perpendiculara pupa1417 10325

,_

+L 1L61 de la perpendiculara pupa 629 1031 , 11

,_

+L 3L31 de la perpendiculara pupa 159 1038 , 2

,_

+L 3Mijloc 0 1Jumtatea prova Mijloc 0 1L31 de la perpendiculara prova 317 1036 , 5

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+L 3L61 de la perpendiculara prova 1258 1032 , 22

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+L 3Perpendiculara prova2834 10350

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+L 1 4/84Proiect la Arhitectur Naval 4. Tabelul de trasaj al navei adimensionaleSistem de referinaOriginea(punctul K) LB, PD, Lpp/2Direcii pozitive:x -> spre provay -> spre babordz -> n susTabelul de trasaj adimensional al navei de proiectatDinceledouformeadimensionaletipFormData[2]semsoari seextragsemilimilepentru fiecare cupl n dreptul fiecrei plutiri. Exist un numr de 13 cuple i anume: 0, 1, 2, 4, 6, 8 la pupa, 10 pentru cuplul maestru i 12, 14, 16, 18, 19, 20 la prova. Acestea corespund pe desenul FormData cuplelor 0, , 1, 2, 3, 4, 5, 6, 7, 8, 9, 9 , 10. Pentrufiecare din ele s-au msurat semilimile pe fiecaredincele15plutiri. Sepoateobservacnavaarefundul stelat i bulblaprova. Valorile semilimilor sunt prezentate n tabelul. La cupla 20 avem dou curbe distincte.Tabelul Nr.2c\wl 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 150 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,21 3,01 4,08 4,73 5,10 5,37 5,591\2 0,21 0,43 0,53 0,64 0,75 0,96 1,18 1,61 2,47 3,87 4,99 5,80 6,23 6,61 6,82 6,981 0,53 1,18 1,50 1,83 2,15 2,58 3,22 3,97 5,05 5,91 6,66 7,09 7,41 7,63 7,79 7,902 2,68 3,92 4,51 5,05 5,64 6,23 6,82 7,36 7,74 8,06 8,33 8,49 8,60 8,60 8,60 8,603 5,37 6,77 7,52 8,06 8,33 8,49 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,604 6,98 8,17 8,54 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,605 6,98 8,22 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,606 6,98 8,17 8,54 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,60 8,607 5,91 7,41 7,84 8,06 8,11 8,17 8,19 8,22 8,27 8,30 8,33 8,36 8,38 8,40 8,47 8,498 3,22 4,90 5,60 5,85 6,02 6,23 6,28 6,39 6,55 6,66 6,77 6,88 7,10 7,25 7,52 7,749 1,07 2,36 2,79 3,01 3,06 3,08 3,11 3,22 3,44 3,65 3,76 3,97 4,19 4,51 4,83 5,2691\20,00 1,93 2,25 2,31 2,15 1,82 1,66 1,61 1,63 1,72 1,88 2,04 2,25 2,52 2,80 3,2210 0,00 1,55 1,88 1,66 1,12 0,48 0,21 0,00 0,00 0,00 0,21 0,26 0,32 0,37 0,59 0,75Trasarea planului de formePentruconstrucia planului deformeamutilizat programul Autocadi funciasplinedin programul Autocad.Oprezentaresuccintamodului n care am procedat pentru a elabora planul de forme este prezentat n continuare. Alegerea formatului de hrtie;Avnd n vedere c planul de forme este reprezentat n 3 proiecii (longitudinal, orizontal i transversal) i innd cont de dimensiunile navei am ales ca format de hrtie A0+. Acesta corespunde unei scri de reprezentare de 1:100.Trasarea caroiajuluiPentrutrasareacaroiajului amfolosit tabelele4i 5avndnvederedistanadintrecuple (L=5,6m) i distana ntre plutiri (d=0,64m). Pentru longitudinal am trasat linii orizontaleparalele la distana d avnd lungimea L a navei i linii verticale paralele la distana L de nlime 15d. Pentru transversal am desenat linii orizontale paralele la distana d de lungime B i linii verticale paralele la 5/84Proiect la Arhitectur Naval distanaB/4denlime15d. Pentruorizontal amtrasat linii verticaleparaleleladistanaLde nlime B/2 i 3 linii orizontale paralele la distana B/4 de lungime L. Trasarea transversalului pe cuple corespunztor cuplelor FormDatan transversal am trasat cuplele conform tabelului nr.2 de mai sus. n partea stng a planului diametral al transversalului am reprezentat cuplele din pupa, respectiv 0, , 1, 2, 3, 4, 5, iar n dreapta am reprezentat cuplele din prova, respectiv 6, 7, 8, 9, 9 , 10.Trasarea selaturii longitudinale n bordSelatura longitudinal n bord am trasat-o conform tabelului nr.1.Trasarea fundului plat (plutirea 0) i a bordului platTrasareafundului plat sefaceconformtabelului nr.2. Duptrasareamtrecut lacorectarea acestuia n aa fel nct curba s fie aviat. Bordul plat l-am desenat pornind de la punctele de tangena acuplelorlabordaj. Aceastcurbamcorectat-o de asemeneaastfel ncts fie aviat.Coreciile impuse de cele doua linii(fundul plat sau WL0 i bordul plat sau LII) au condus i la ajustri ale cuplelor preluate iniial.Trasarea plutirilorPlutirile le-am construit pornind de la semilimile n dreptul cuplelor conform tabelului nr.2 i pe baza bordului plat, adic fiecare plutire trebuie sa tangenteze bordajul n punctul corespunztor bordului liber.Completarea transversalului pe cuple i a plutirilorOdat trasate curbele aviate care reprezint plutirile am trecut la completarea transversalului cu cuplele lips precum i cu alte cuple intermediare necesare rezolvrii problemelor deosebite care apar la extremiti. Astfel am trasat cuplele impare: 3, 5, 7, 9, 11, 13, 15, 17 precum i cuplele suplimentare porninddelasemilimilenavei ndreptul cuplei respectivedinorizontalul planului deformei impunnd s intersecteze PD conform seciunii n PD din longitudinal iar tangentarea bordajului s se fac conform bordului plat.Trasarea selaturii transversale a punii n transversalul planului de forme, a punii n bord n orizontalul planului de forme i a punii n P.D. n longitudinalul planului de forme.Pentru selatura transversala a punii am folosit relaia:24 /i Fiy z undeyisemilimeacuplei la intersecia cu puntea n bord iar zFisgeata fcutde curburapunii nPD. Formaadoptatpentruselaturatransversalesteunarcdeparabolavnd ecuaia: 11]1

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21 ) (iFiyyz y zTrasarea am fcut-o dnd valori lui y ntre 0 i yi i obinnd coordonatele z(y) corespunztoare pentru cupla i. Repetnd acest trasaj la toate cuplele din transversal am obinut selatura transversal a navei.Linia punii n bord n plan orizontal am trasat-o plecnd de la semilimile pe cuple i linia punii n bord din planul longitudinal.Liniapunii nPDnplanul longitudinal amobinut-oproiectndpuncteledeinterseciea punii cu PD din transversal pe cuplele corespunztoare din longitudinal.Trasarea seciunilor longitudinaleAvndconstruit transversalul i orizontalul planului deforme, amtrecut lareprezentarea seciunii longitudinale la B/4 n longitudinalul planului de forme. Punctele corespunztoare s-au luat din intersecia longitudinalei cu cuplele i plutirile. Deoarece nu a rezultat de la nceput o curb foarte bine aviat am corectat transversalul i orizontalul corespunztor. 6/84Proiect la Arhitectur Naval Balansarea planului de forme.Pentru verificarea corectitudinii planului de forme am construit intersecia dintre corpului navei i un plan nclinat paralel cu axa Ox care trece prin punctele (y=B/2; z=0) i (y=0; z=d) limitat de planul diametral i planul de baza. Curba rezultat am proiectat-o odat n plan longitudinal i apoi n plan orizontal. Pentru aceasta am msurat ordonatele, respectiv semilimile punctelor de intersecie dintreacestplanicupleile-amproiectatnlongitudinal, respectivorizontal.i nacest cazam procedat la corectarea planului de forme astfel nct cele dou curbe s fie aviate.

Finalizarea desenului planului de formeAm completat desenul planului de forme cu indicarea tuturor liniilor (denumirile plutirilor, cuplelor, longitudinalelor, etc.) astfel nct acestea s fie vizibile i uor de urmrit.Am adugat dimensiunile i caracteristicile principale ale navei al crei plan de forme este reprezentat.5. Tabelul de trasaj al navei3.Dimensiuni principale Dimensiunea Simbol Valoarea[m]Lungime Lpp 112,0Lime B 17,2nlime de construcie D 8,1Pescaj de calcul d 6,4Distanta intre cuple ntregi L 5,6Distanta intre plutiri ntregi d 0,64 7/84Proiect la Arhitectur Naval 4.Abscisele cuplelorCupla X [m]0 -56 -53,21 -50,41 -47,62 -44,83 -39,24 -33,65 -286 -22,47 -16,88 -11,29 -5,610 011 5,612 11,213 16,814 22,415 2816 33,617 39,218 44,818 47,619 50,419 53,220 565.Cotele plutirilorWL z[m]0 0,001 0,642 1,283 1,924 2,565 3,206 3,847 4,488 5,129 5,7610 6,4011 7,0412 7,68 8/84Proiect la Arhitectur Naval 6. Tabelul de nlimi pe longitudinale (nlimi n metri de la LB)Long 0 I IICupla (PD) (B/4) (bord plat)0 5,412 7,22 4,991 6,5481 0 6,0761 0 5,622 0 4,9143 0 3,044 0 1,037 7,685 0 0,083 5,7256 0 0,071 3,847 0 0,071 2,5058 0 0,071 1,6529 0 0,071 1,13810 0 0,071 0,91211 0 0,071 1,17312 0 0,071 2,35213 0 0,071 5,80714 0 0,07115 0 0,07116 0 0,43817 0 1,96618 0 8,01518 019 019 0,07220 0,138 9/84Proiect la Arhitectur Naval 7.Tabelul de semilimi pe cuple (Semilatimi n metri de la PD)C\WL 0 1 2 3 4 5 6 7 8 9 10 11 12Oglinda Pupa - - - - - - - - - - 2,091 3,281 4,0180 - - - - - - - - - 1,502 3,010 4,080 4,730 1/2 - - - - - - - - 1,010 2,539 4,034 4,962 5,5751 0,210 0,430 0,498 0,589 0,750 0,909 1,180 1,610 2,470 3,568 4,990 5,800 6,2571 1/2 0,334 0,758 0,953 1,143 1,373 1,676 2,100 2,660 3,556 4,570 5,816 6,510 6,9262 0,530 1,180 1,500 1,830 2,150 2,580 3,133 3,781 4,548 5,603 6,513 7,090 7,5193 1,388 2,396 2,877 3,362 3,867 4,453 5,115 5,787 6,446 7,038 7,580 8,037 8,2914 2,680 3,920 4,510 5,050 5,640 6,230 6,820 7,360 7,740 8,060 8,330 8,490 8,6005 4,093 5,468 6,183 6,778 7,262 7,707 8,093 8,386 8,545 8,600 8,600 8,600 8,6006 5,370 6,770 7,520 8,060 8,330 8,527 8,600 8,600 8,600 8,600 8,600 8,600 8,6007 6,327 7,645 8,250 8,550 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,6008 6,980 8,170 8,540 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,6009 7,372 8,340 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,60010 7,480 8,510 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,60011 7,301 8,380 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,60012 6,980 8,170 8,508 8,569 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,600 8,60013 6,608 7,935 8,343 8,450 8,505 8,535 8,553 8,574 8,592 8,600 8,600 8,600 8,60014 5,910 7,410 7,840 8,027 8,110 8,170 8,217 8,246 8,270 8,300 8,330 8,387 8,45615 4,640 6,341 6,893 7,189 7,311 7,413 7,481 7,542 7,600 7,650 7,700 7,766 7,88216 3,220 4,955 5,500 5,889 6,072 6,230 6,348 6,443 6,550 6,660 6,770 6,914 7,06617 2,080 3,420 4,002 4,300 4,478 4,625 4,767 4,930 5,067 5,236 5,416 5,641 5,87818 1,070 2,360 2,790 3,010 3,060 3,080 3,110 3,220 3,349 3,528 3,760 3,970 4,19018 1/2 0,547 2,095 2,461 2,613 2,574 2,405 2,326 2,388 2,484 2,597 2,803 3,014 3,24519 0,000 1,930 2,250 2,310 2,150 1,820 1,660 1,610 1,630 1,720 1,880 2,040 2,25019 1/2 - 1,768 2,068 2,005 1,691 1,304 0,903 0,816 0,859 0,925 0,992 1,076 1,24620 - 1,550 1,880 1,660 1,228 0,782 0,210 - - - 0,21 0,26 0,32Obs: La WL 0, semilimile sunt pe fundul plat 10/84Proiect la Arhitectur Naval 8. Linia puniiCupla Puntea n bordPD SgeataX Y Z Z fExtr. pp -58,605,088 9,478 9,7760,2980-56,005,751 9,283 9,6210,338 1/2-53,206,381 9,097 9,4340,3371-50,406,999 8,955 9,2950,3401 1/2-47,607,500 8,850 9,2020,3522-44,807,933 8,772 9,1260,3543-39,208,505 8,659 9,0170,3584-33,608,600 8,549 8,8020,2535-28,008,600 8,425 8,6230,1986-22,408,600 8,303 8,4860,1837-16,808,600 8,203 8,3900,1878-11,208,600 8,135 8,3360,2019-5,60 8,600 8,101 8,3210,220100,00 8,600 8,100 8,3460,246115,60 8,600 8,134 8,4100,2761211,20 8,600 8,206 8,5120,3061316,80 8,600 8,318 8,6510,3331422,40 8,544 8,474 8,8320,3581528,00 8,125 8,679 9,1130,4341633,60 7,514 8,941 9,2930,3521739,20 6,558 9,267 9,6080,3411844,80 5,293 9,650 9,9550,30518 1/247,60 4,385 9,85310,1390,28619 50,40 3,37 10,06 10,29 0,233 11/84Proiect la Arhitectur Naval 4 0 319 1/253,20 2,11910,26610,4370,1712056,00 1,12810,46710,6010,134Extr. Pv58,720,00010,65910,6590,0009. Extremitile plutirilorWL z Pupa ProvaXpp Y Xpv Y0 0,00 -52,80 0,138 50,08 0,001 0,64 -52,80 0,200 57,75 0,002 1,28 -52,80 0,248 58,02 0,003 1,92 -52,80 0,299 57,08 0,004 2,56 -52,80 0,368 57,30 0,005 3,20 -52,80 0,419 56,68 0,006 3,84 -52,80 0,536 56,11 0,007 4,48 -52,80 0,846 55,73 0,008 5,12 -54,06 0,000 55,76 0,009 5,76 -58,32 0,000 55,96 0,0010 6,40 -58,60 2,091 56,30 0,0011 7,04 -58,60 3,281 56,68 0,0012 7,68 -58,60 4,018 57,06 0,006. Calculele pe plutiri drepteRelaii de bazaAria plutirii WLLWLdx y A 2 Abscisa centrului de plutire WLWLLLFdx yxydxxMomentul de inerie n raport cu axa xdx y IWLLx332Momentul de inerie n raport cu axa y WLLyydx x I22Momentul de inerie n raport cu axa yF 2F WL y yx A I IF Metoda numerica de integrare: metoda trapezelorunde:ffuncia de integrat, respectiv f=y, f=xy, f=y3 sau f=x2y, dup caz. 12/84 + XpvXppnii if f x x dx x f S11 1 1 1) )( (21) (Proiect la Arhitectur Naval i = 0 .. n indicele punctelor de calculxi,abscisele n punctele de calculfi,valoarea funciei la abscisele n punctele de calculn tabele se calculeaz nite sume care reprezint:Aw=2S1 MYW = 2S2 XF = MYW /AwIx = 2/3 S3 Iy = 2S4 IyF = Iy - (XF)2Aw 13/84Proiect la Arhitectur Naval Calculul efectivWL= 0,00 z=0,000Cupla x dx y s(y) xy s(xy) y3 s(y3) x2y s(x2y)Extr. pp -52,80- 0,138- -7,286 - 0,00 - 384,72 -0 - - - - - - - - - - 1/2 - - - - - - - - - -1 -50,402,4000,2100,418 -10,584 -21,44 0,01 0,01 533,43 1101,791 1/2 -47,602,8000,3340,761 -15,886 -37,06 0,04 0,07 756,19 1805,482 -44,802,8000,5301,209 -23,744 -55,48 0,15 0,26 1063,732547,893 -39,205,6001,3885,372 -54,429 -218,882,68 7,91 2133,628952,574 -33,605,6002,68011,392 -90,048 -404,5419,25 61,39 3025,6114445,845 -28,005,6004,09318,964 -114,605-573,0368,57 245,89 3208,9417456,746 -22,405,6005,37026,496 -120,288-657,70154,85625,59 2694,4516529,487-16,805,6006,32732,751 -106,293-634,43253,271142,74 1785,7112544,468-11,205,6006,98037,259 -78,176 -516,51340,071661,34 875,57 7451,609 -5,605,6007,37240,185 -41,281 -334,48400,592073,84 231,18 3098,8910 0,005,6007,48041,585 0,000 -115,59418,512293,48 0,00 647,2911 5,605,6007,30141,388 40,888 114,49 389,252261,74 228,97 641,1312 11,205,6006,98039,988 78,176 333,38 340,072042,10 875,57 3092,73 14/84Proiect la Arhitectur Naval 13 16,805,6006,60838,045 111,008 529,71 288,491759,97 1864,937673,4114 22,405,6005,91035,049 132,384 681,50 206,431385,77 2965,4013524,9415 28,005,6004,64029,539 129,913 734,43 99,88 857,66 3637,5618488,2816 33,605,6003,22022,007 108,192 666,69 33,39 373,15 3635,2520363,8617 39,205,6002,08014,841 81,547 531,27 9,00 118,69 3196,6619129,3418 44,805,6001,0708,821 47,936 362,55 1,23 28,64 2147,5314963,7318 1/2 47,602,8000,5472,264 26,035 103,56 0,16 1,94 1239,254741,4919 50,402,8000,0000,766 0,000 36,45 0,00 0,23 0,00 1734,9519 1/2 - - - - - - - - - -20 - - - - - - - - - -Extr. Pv50,08 0,0000,0000,000 0,000 0,00 0,00 0,00 0,00 0,00Sume449,101524,90 16942,41190935,90S1 S2S3S4 15/84Proiect la Arhitectur Naval WL= 1 z= 0,64Cupla x dx y s(y) xy s(xy) y3 s(y3) x2y s(x2y)Extr. pp -52,80- 0,200- -10,560 - 0,01 - 557,57 -0 - - - - - - - - - -0,5 - - - - - - - - - -1 -50,402,4000,4300,756 -21,672 -38,68 0,08 0,11 1092,271979,801,5 -47,602,8000,7581,663 -36,074 -80,84 0,44 0,72 1717,113933,132 -44,802,8001,1802,713 -52,864 -124,51 1,64 2,91 2368,315719,583 -39,205,6002,39610,012 -93,915 -410,98 13,75 43,10 3681,4516939,324 -33,605,6003,92017,684 -131,712-631,75 60,24 207,16 4425,5222699,525 -28,005,6005,46826,285 -153,093-797,45 163,45626,33 4286,6124393,986 -22,405,6006,77034,265 -151,648-853,28 310,291326,48 3396,9221513,887-16,805,6007,64540,363 -128,444-784,26 446,902120,13 2157,8615553,368-11,205,6008,17044,283 -91,504 -615,85 545,342778,27 1024,848911,569 -5,605,6008,34046,228 -46,703 -386,98 580,073151,15 261,54 3601,8810 0,005,6008,51047,180 0,000 -130,77 616,303349,83 0,00 732,3111 5,605,6008,38047,291 46,927 131,39 588,433373,23 262,79 735,8112 11,205,6008,17046,339 91,504 387,61 545,343174,55 1024,843605,3813 16,80 5,60 7,93 45,093 133,301 629,45 499,5 2925,67 2239,4 9140,05 16/84Proiect la Arhitectur Naval 0 5 4 614 22,405,6007,41042,965 165,984 838,00 406,872537,96 3718,0416681,0015 28,005,6006,34138,504 177,556 961,91 255,001853,22 4971,5724330,9116 33,605,6004,95531,630 166,498 963,35 121,681054,68 5594,3429584,5317 39,205,6003,42023,451 134,068 841,59 40,01 452,71 5255,4830379,4718 44,805,6002,36016,184 105,728 671,43 13,14 148,82 4736,6127977,8618,5 47,602,8002,0956,237 99,715 287,62 9,19 31,27 4746,4513276,2919 50,402,8001,9305,635 97,272 275,78 7,19 22,94 4902,5113508,5419,5 53,202,8001,7685,177 94,043 267,84 5,52 17,80 5003,0613867,8020 56,002,8001,5504,645 86,800 253,18 3,72 12,95 4860,8013809,41Extr. Pv57,75 1,7460,0001,353 0,000 75,78 0,00 3,25 0,00 4243,48Sume585,9371729,5729215,25327118,86S1 S2S3S4 17/84Proiect la Arhitectur Naval WL= 2 z= 1,28Cupla x dx y s(y) xy s(xy) y3 s(y3) x2y s(x2y)Extr. pp -52,80- 0,248- -13,094 - 0,02 - 691,38 -0 - - - - - - - - - -0,5 - - - - - - - - - -1 -50,402,4000,4980,895 -25,099 -45,83 0,12 0,17 1265,002347,661,5 -47,602,8000,9532,031 -45,355 -98,64 0,87 1,38 2158,894793,452 -44,802,8001,5003,434 -67,200 -157,58 3,38 5,94 3010,567237,233 -39,205,6002,87712,256 -112,779-503,94 23,81 76,13 4420,9520808,244 -33,605,6004,51020,684 -151,536-740,08 91,73 323,53 5091,6126635,185 -28,005,6006,18329,940 -173,123-909,04 236,37918,69 4847,4427829,346 -22,405,6007,52038,368 -168,448-956,40 425,261852,56 3773,2424137,897-16,805,6008,25044,157 -138,607-859,75 561,602763,20 2328,5917085,128-11,205,6008,54047,013 -95,648 -655,91 622,843316,42 1071,269519,599 -5,605,6008,60047,992 -48,160 -402,66 636,063524,90 269,70 3754,6710 0,005,6008,60048,160 0,000 -134,85 636,063561,91 0,00 755,1511 5,605,6008,60048,160 48,160 134,85 636,063561,91 269,70 755,1512 11,205,6008,50847,903 95,291 401,66 615,883505,43 1067,263743,4713 16,80 5,60 8,34 47,182 140,158 659,26 580,6 3350,32 2354,6 9581,33 18/84Proiect la Arhitectur Naval 0 3 6 514 22,405,6007,84045,312 175,616 884,17 481,892975,14 3933,8017607,6515 28,005,6006,89341,252 192,999 1032,12327,482266,25 5403,9726145,7516 33,605,6005,50034,700 184,800 1057,84166,381382,81 6209,2832517,1017 39,205,6004,00226,606 156,878 956,70 64,10 645,32 6149,6034604,8718 44,805,6002,79019,018 124,992 789,24 21,72 240,28 5599,6432897,8918,5 47,602,8002,4617,352 117,151 339,00 14,91 51,28 5576,4015646,4619 50,402,8002,2506,596 113,400 322,77 11,39 36,82 5715,3615808,4719,5 53,202,8002,0686,045 109,992 312,75 8,84 28,32 5851,6016193,7420 56,002,8001,8805,527 105,280 301,38 6,64 21,68 5895,6816446,19Extr. Pv58,02 2,0190,0001,898 0,000 106,28 0,00 6,71 0,00 5951,69Sume632,4781833,3134417,07372803,25S1 S2S3S4 19/84Proiect la Arhitectur Naval WL= 3 z= 1,92Cupla x dx y s(y) xy s(xy) y3 s(y3) x2y s(x2y)Extr. pp -52,80- 0,174- -9,187 - 0,01 - 485,08 -0 - - - - - - - - - -0,5 - - - - - - - - - -1 -50,402,4000,5890,916 -29,686 -46,65 0,20 0,25 1496,152377,491,5 -47,602,8001,1432,425 -54,424 -117,75 1,49 2,38 2590,585721,432 -44,802,8001,8304,163 -81,984 -190,97 6,13 10,67 3672,888768,853 -39,205,6003,36214,537 -131,777-598,53 37,99 123,53 5165,6624747,934 -33,605,6005,05023,553 -169,680-844,08 128,79466,98 5701,2530427,355 -28,005,6006,77833,119 -189,791-1006,52311,421232,59 5314,1430843,086 -22,405,6008,06041,547 -180,544-1036,94523,612338,08 4044,1926203,307-16,805,6008,55046,509 -143,648-907,74 625,133216,46 2413,2818080,918-11,205,6008,60048,021 -96,320 -671,91 636,063531,31 1078,789777,799 -5,605,6008,60048,160 -48,160 -404,54 636,063561,91 269,70 3775,7410 0,005,6008,60048,160 0,000 -134,85 636,063561,91 0,00 755,1511 5,605,6008,60048,160 48,160 134,85 636,063561,91 269,70 755,1512 11,205,6008,56948,073 95,973 403,57 629,203542,72 1074,903764,8613 16,80 5,60 8,45 47,652 141,953 666,19 603,2 3450,91 2384,8 9687,19 20/84Proiect la Arhitectur Naval 0 0 7 214 22,405,6008,02746,134 179,805 900,92 517,203137,31 4027,6317954,8415 28,005,6007,18942,604 201,281 1067,04 371,482488,31 5635,8727057,8016 33,605,6005,88936,617 197,870 1117,62 204,231612,00 6648,4534396,0917 39,205,6004,30028,529 168,560 1026,01 79,51 794,47 6607,5537116,7918 44,805,6003,01020,468 134,848 849,54 27,27 298,98 6041,1935416,4818,5 47,602,8002,6137,872 124,355 362,88 17,83 63,14 5919,3216744,7219 50,402,8002,3106,892 116,424 337,09 12,33 42,22 5867,7716501,9319,5 53,202,8002,0056,041 106,648 312,30 8,06 28,54 5673,6616158,0020 56,002,8001,6605,131 92,960 279,45 4,57 17,68 5205,7615231,18Extr. Pv57,08 1,0830,0000,899 0,000 50,34 0,00 2,48 0,00 2818,92Sume656,1811547,34 37086,74395082,97S1 S2S3S4 21/84Proiect la Arhitectur Naval WL= 4 z= 2,56Cupla x dx y s(y) xy s(xy) y3 s(y3) x2y s(x2y)Extr. pp-52,80- 0,368- -19,430 - 0,05 - 1025,93-0 - - - - - - - - - -0,5 - - - - - - - - - -1-50,402,4000,7501,342 -37,800 -68,68 0,42 0,57 1905,123517,251,5-47,602,8001,3732,973 -65,372 -144,44 2,59 4,22 3111,737023,592-44,802,8002,1504,933 -96,320 -226,37 9,94 17,54 4315,1410397,613-39,205,6003,86716,848 -151,595-694,16 57,84 189,77 5942,5428721,504-33,605,6005,64026,620 -189,504-955,08 179,41664,28 6367,3334467,655-28,005,6007,26236,126 -203,340-1099,96383,001574,72 5693,5233770,386-22,405,6008,33043,658 -186,592-1091,81578,012690,81 4179,6627644,907-16,805,6008,60047,404 -144,480-927,00 636,063399,38 2427,2618499,398-11,205,6008,60048,160 -96,320 -674,24 636,063561,91 1078,789816,939-5,60 5,6008,60048,160 -48,160 -404,54 636,063561,91 269,70 3775,74100,00 5,6008,60048,160 0,000 -134,85 636,063561,91 0,00 755,15115,60 5,6008,60048,160 48,160 134,85 636,063561,91 269,70 755,151211,20 5,6008,60048,160 96,320 404,54 636,063561,91 1078,783775,741316,80 5,6008,50547,893 142,878 669,76 615,143503,34 2400,369741,59 22/84Proiect la Arhitectur Naval 1422,40 5,6008,11046,521 181,664 908,72 533,413215,93 4069,2718114,961528,00 5,6007,31143,178 204,701 1081,82 390,742587,62 5731,6327442,521633,60 5,6006,07237,472 204,019 1144,42 223,871720,90 6855,0535242,681739,20 5,6004,47829,540 175,544 1062,78 89,80 878,29 6881,3338461,841844,80 5,6003,06021,107 137,088 875,37 28,65 331,68 6141,5436464,0318,547,60 2,8002,5747,888 122,527 363,46 17,06 63,99 5832,2616763,331950,40 2,8002,1506,614 108,360 323,24 9,94 37,79 5461,3415811,0519,553,20 2,8001,6915,377 89,938 277,62 4,83 20,68 4784,7114344,482056,00 2,8001,2284,086 68,751 222,17 1,85 9,35 3850,0712088,69Extr. Pv57,30 1,3010,0000,799 0,000 44,72 0,00 1,20 0,00 2504,47Sume671,1771092,32 38721,64409900,64S1 S2S3S4WL= 5 z= 3,20Cupla x dx y s(y) xy s(xy) y3 s(y3) x2y s(x2y)Extr. pp -52,80- 0,419- -22,123 - 0,07 - 1168,10-0 - - - - - - - - - -0,5 - - - - - - - - - -1 -50,402,4000,9091,594 -45,814 -81,52 0,75 0,99 2309,014172,53 23/84Proiect la Arhitectur Naval 1,5 -47,602,8001,6763,619 -79,790 -175,85 4,71 7,65 3798,018549,832 -44,802,8002,5805,959 -115,584-273,52 17,17 30,64 5178,1612566,653 -39,205,6004,45319,693 -174,571-812,43 88,32 295,38 6843,1733659,744 -33,605,6006,23029,913 -209,328-1074,92241,80924,35 7033,4238854,465 -28,005,6007,70739,025 -215,808-1190,38457,851959,04 6042,6136612,896 -22,405,6008,52745,456 -191,005-1139,07620,003017,98 4278,5128899,147-16,805,6008,60047,956 -144,480-939,36 636,063516,95 2427,2618776,168-11,205,6008,60048,160 -96,320 -674,24 636,063561,91 1078,789816,939 -5,605,6008,60048,160 -48,160 -404,54 636,063561,91 269,70 3775,7410 0,005,6008,60048,160 0,000 -134,85 636,063561,91 0,00 755,1511 5,605,6008,60048,160 48,160 134,85 636,063561,91 269,70 755,1512 11,205,6008,60048,160 96,320 404,54 636,063561,91 1078,783775,7413 16,805,6008,53547,979 143,393 671,20 621,813522,02 2409,009765,8114 22,405,6008,17046,775 183,008 913,92 545,343268,01 4099,3818223,4715 28,005,6007,41343,631 207,554 1093,57 407,302667,40 5811,5127750,4916 33,605,6006,23038,199 209,328 1167,27 241,801817,50 7033,4235965,8117 39,205,6004,62530,395 181,316 1093,80 98,96 954,13 7107,5739594,79 24/84Proiect la Arhitectur Naval 18 44,805,6003,08021,575 137,984 894,04 29,22 358,89 6181,6837209,9218,5 47,602,8002,4057,679 114,472 353,44 13,91 60,38 5448,8516282,7519 50,402,8001,8205,915 91,728 288,68 6,03 27,91 4623,0914100,7219,5 53,202,8001,3044,374 69,383 225,56 2,22 11,55 3691,1911639,9920 56,002,8000,7822,921 43,809 158,47 0,48 3,78 2453,298602,27Extr. Pv56,68 0,6750,0000,264 0,000 14,79 0,00 0,00 0,00 0,00Sume683,722513,44 40254,10420106,13S1 S2S3S4 25/84Proiect la Arhitectur Naval WL= 6 z= 3,84Cupla x dx y s(y) xy s(xy) y3 s(y3) x2y s(x2y)Extr. pp-52,80- 0,536- -28,301 - 0,15 - 1494,28-0 - - - - - - - - - -0,5 - - - - - - - - - -1-50,402,4001,1802,059 -59,472 -105,33 1,64 2,16 2997,395390,011,5-47,602,8002,1004,592 -99,963 -223,21 9,26 15,27 4758,2610857,912-44,802,8003,1337,327 -140,376-336,48 30,76 56,04 6288,8615465,973-39,205,6005,11523,097 -200,524-954,52 133,86460,94 7860,5539618,354-33,605,6006,82033,419 -229,152-1203,09317,211263,00 7699,5143568,175-28,005,6008,09341,755 -226,591-1276,08529,982372,13 6344,5639323,386-22,405,6008,60046,739 -192,640-1173,85636,063264,89 4315,1429847,147-16,805,6008,60048,160 -144,480-943,94 636,063561,91 2427,2618878,728-11,205,6008,60048,160 -96,320 -674,24 636,063561,91 1078,789816,939-5,60 5,6008,60048,160 -48,160 -404,54 636,063561,91 269,70 3775,74100,00 5,6008,60048,160 0,000 -134,85 636,063561,91 0,00 755,15115,60 5,6008,60048,160 48,160 134,85 636,063561,91 269,70 755,151211,20 5,6008,60048,160 96,320 404,54 636,063561,91 1078,783775,741316,80 5,6008,55348,027 143,684 672,01 625,603532,65 2413,899779,50 26/84Proiect la Arhitectur Naval 1422,40 5,6008,21746,954 184,056 917,67 554,763305,03 4122,8618302,921528,00 5,6007,48143,953 209,462 1101,85 418,642725,54 5864,9527965,861633,60 5,6006,34838,721 213,293 1183,71 255,811888,46 7166,6436488,441739,20 5,6004,76731,121 186,850 1120,40 108,301019,49 7324,5240575,241844,80 5,6003,11022,054 139,328 913,30 30,08 387,46 6241,8937985,9618,547,60 2,8002,3267,611 110,737 350,09 12,59 59,74 5271,0616118,141950,40 2,8001,6605,581 83,664 272,16 4,57 24,03 4216,6713282,8219,553,20 2,8000,9033,588 48,030 184,37 0,74 7,43 2555,219480,632056,00 2,8000,2101,558 11,760 83,71 0,01 1,04 658,56 4499,28Extr. Pv56,11 0,1090,0000,011 0,000 0,64 0,00 0,00 0,00 0,00Sume697,129-90,81 41756,78436307,17S1 S2S3S4 27/84Proiect la Arhitectur Naval WL= 7 z= 4,48Cupla x dx y s(y) xy s(xy) y3 s(y3) x2y s(x2y)Extr. pp-52,80- 0,449- -23,707 - 0,09 - 1251,74-0 - - - - - - - - - -0,5 - - - - - - - - - -1-50,402,4001,6102,471 -81,144 -125,82 4,17 5,12 4089,666409,681,5-47,602,8002,6605,978 -126,629-290,88 18,83 32,20 6027,5414164,072-44,802,8003,7819,017 -169,366-414,39 54,03 102,00 7587,6119061,213-39,205,6005,78726,790 -226,859-1109,43193,82694,00 8892,8746145,354-33,605,6007,36036,812 -247,296-1327,63398,691659,04 8309,1548165,645-28,005,6008,38644,088 -234,803-1349,88589,712767,51 6574,4941674,186-22,405,6008,60047,560 -192,640-1196,84636,063432,14 4315,1430490,967-16,805,6008,60048,160 -144,480-943,94 636,063561,91 2427,2618878,728-11,205,6008,60048,160 -96,320 -674,24 636,063561,91 1078,789816,939-5,60 5,6008,60048,160 -48,160 -404,54 636,063561,91 269,70 3775,74100,00 5,6008,60048,160 0,000 -134,85 636,063561,91 0,00 755,15115,60 5,6008,60048,160 48,160 134,85 636,063561,91 269,70 755,151211,20 5,6008,60048,160 96,320 404,54 636,063561,91 1078,783775,741316,80 5,6008,57448,088 144,047 673,03 630,353545,94 2419,989796,55 28/84Proiect la Arhitectur Naval 1422,40 5,6008,24647,097 184,715 920,53 560,743335,05 4137,6118361,271528,00 5,6007,54244,207 211,176 1108,49 429,002771,28 5912,9328141,521633,60 5,6006,44339,158 216,485 1197,45 267,461950,10 7273,8936923,091739,20 5,6004,93031,844 193,248 1147,25 119,811084,36 7575,3441577,841844,80 5,6003,22022,819 144,256 945,01 33,39 428,95 6462,6739306,4318,547,60 2,8002,3887,851 113,659 361,08 13,61 65,80 5410,1816622,001950,40 2,8001,6105,597 81,144 272,72 4,17 24,90 4089,6613299,7819,553,20 2,8000,8163,396 43,395 174,35 0,54 6,60 2308,638957,6020 - - - - - - - - - -Extr. Pv55,73 0,0000,0000,000 0,000 0,00 0,00 0,00 0,00 0,00Sume711,734-633,13 43276,48456854,60S1 S2S3S4 29/84Proiect la Arhitectur Naval WL= 8 z= 5,12Cupla x dx y s(y) xy s(xy) y3 s(y3) x2y s(x2y)Extr. pp-54,06- 0,000- 0,000 - 0,00 - 0,00 -0 - - - - - - - - - -0,5-53,200,8601,0100,435 -53,741 -23,12 1,03 0,44 2859,011229,951-50,402,8002,4704,872 -124,488-249,52 15,07 21,10 6274,208783,871,5-47,602,8003,5568,437 -169,280-411,28 44,98 84,07 8057,7420064,712-44,802,8004,54811,346 -203,750-522,24 94,07 194,67 9128,0224060,063-39,205,6006,44630,784 -252,699-1278,06267,891013,49 9905,8153294,724-33,605,6007,74039,722 -260,064-1435,74463,682048,40 8738,1552203,095-28,005,6008,54545,598 -239,265-1398,12623,973045,43 6699,4243225,186-22,405,6008,60048,006 -192,640-1209,33636,063528,07 4315,1430840,747-16,805,6008,60048,160 -144,480-943,94 636,063561,91 2427,2618878,728-11,205,6008,60048,160 -96,320 -674,24 636,063561,91 1078,789816,939-5,60 5,6008,60048,160 -48,160 -404,54 636,063561,91 269,70 3775,74100,00 5,6008,60048,160 0,000 -134,85 636,063561,91 0,00 755,15115,60 5,6008,60048,160 48,160 134,85 636,063561,91 269,70 755,151211,20 5,6008,60048,160 96,320 404,54 636,063561,91 1078,783775,7413 16,80 5,60 8,59 48,138 144,348 673,87 634,3 3557,02 2425,0 9810,70 30/84Proiect la Arhitectur Naval 0 2 1 41422,40 5,6008,27047,214 185,248 922,87 565,613359,77 4149,5618408,861528,00 5,6007,60044,435 212,795 1114,52 438,942812,75 5958,2628301,871633,60 5,6006,55039,619 220,080 1212,05 281,012015,88 7394,6937388,241739,20 5,6005,06732,527 198,622 1172,36 130,081151,06 7785,9742505,831844,80 5,6003,34923,564 150,035 976,24 37,56 469,41 6721,5840621,1218,547,60 2,8002,4848,166 118,247 375,59 15,33 74,05 5628,5517290,181950,40 2,8001,6305,760 82,152 280,56 4,33 27,53 4140,4613676,6119,553,20 2,8000,8593,484 45,692 178,98 0,63 6,95 2430,819199,7820 - - - - - - - - - -Extr. Pv55,76 0,0000,0000,000 0,000 0,00 0,00 0,00 0,00 0,00Sume731,070-1238,5444781,55488662,97S1 S2S3S4WL= 9 z= 5,67Cupla x dx y s(y) xy s(xy) y3 s(y3) x2y s(x2y)Extr. pp -58,317- 0,000- 0,000 - 0,000 - 0,000 -0 -56,0002,3171,5021,740 -84,129 -97,442 3,391 3,927 4711,213 5456,7620,5 -53,2002,8002,5395,658 -135,064-306,870 16,364 27,656 7185,413 16655,277 31/84Proiect la Arhitectur Naval 1 -50,4002,8003,5688,550 -179,847-440,876 45,438 86,523 9064,307 22749,6081,5 -47,6002,8004,57011,393 -217,514-556,305 95,420 197,201 10353,64327185,1292 -44,8002,8005,60314,242 -251,014-655,939 175,898379,845 11245,44530238,7233 -39,2005,6007,03835,394 -275,875-1475,291348,5621468,48910814,30861767,3094 -33,6005,6008,06042,273 -270,816-1530,735523,6072442,0729099,418 55758,4325 -28,0005,6008,60046,648 -240,800-1432,525636,0563247,0556742,400 44357,0896 -22,4005,6008,60048,160 -192,640-1213,632636,0563561,9144315,136 30961,1017-16,8005,6008,60048,160 -144,480-943,936 636,0563561,9142427,264 18878,7208-11,2005,6008,60048,160 -96,320 -674,240 636,0563561,9141078,784 9816,9349-5,600 5,6008,60048,160 -48,160 -404,544 636,0563561,914269,696 3775,744100,000 5,6008,60048,160 0,000 -134,848 636,0563561,9140,000 755,149115,600 5,6008,60048,160 48,160 134,848 636,0563561,914269,696 755,1491211,200 5,6008,60048,160 96,320 404,544 636,0563561,9141078,784 3775,7441316,800 5,6008,60048,159 144,477 674,231 636,0123561,7892427,208 9816,7761422,400 5,6008,30047,319 185,920 925,111 571,7873381,8364164,608 18457,0841528,000 5,6007,65044,660 214,195 1120,322 447,6662854,4695997,462 28453,7961633,600 5,6006,66040,068 223,776 1226,319 295,4082080,6097518,874 37845,739 32/84Proiect la Arhitectur Naval 1739,200 5,6005,23633,309 205,251 1201,276 143,5491229,0798045,847 43581,2181844,800 5,6003,52824,539 158,054 1017,256 43,912 524,890 7080,837 42354,71618,547,600 2,8002,5978,575 123,627 394,354 17,520 86,004 5884,658 18151,6931950,400 2,8001,7206,044 86,688 294,441 5,088 31,651 4369,075 14355,22719,553,200 2,8000,9253,703 49,210 190,257 0,791 8,232 2617,972 9781,86620 - - - - - - - - - -Extr. Pv55,961 2,7610,0000,000 0,000 0,000 0,000 0,000 0,000 0,000Sume759,394-2284,22 46544,72555684,98S1S2S3 S4 33/84Proiect la Arhitectur Naval WL= 10 z= 6,3Cupla x dx y s(y) xy s(xy) y3 s(y3) x2y s(x2y)Extr. pp -58,600- 2,091- -122,533- 9,142 - 7180,410 -0 -56,0002,6003,0106,631 -168,560-378,420 27,271 47,337 9439,360 21605,7010,5 -53,2002,8004,0349,861 -214,596-536,418 65,634 130,067 11416,48629198,1841 -50,4002,8004,99012,633 -251,496-652,528 124,251265,839 12675,39833728,6381,5 -47,6002,8005,81615,129 -276,854-739,690 196,758449,413 13178,26236195,1242 -44,8002,8006,51317,261 -291,782-796,091 276,276662,248 13071,85236750,1593 -39,2005,6007,58039,459 -297,122-1648,932435,4581992,85511647,18269213,2944 -33,6005,6008,33044,547 -279,888-1615,628578,0102837,7099404,237 58943,9725 -28,0005,6008,60047,404 -240,800-1457,926636,0563399,3846742,400 45210,5836 -22,4005,6008,60048,160 -192,640-1213,632636,0563561,9144315,136 30961,1017-16,8005,6008,60048,160 -144,480-943,936 636,0563561,9142427,264 18878,7208-11,2005,6008,60048,160 -96,320 -674,240 636,0563561,9141078,784 9816,9349-5,600 5,6008,60048,160 -48,160 -404,544 636,0563561,914269,696 3775,744100,000 5,6008,60048,160 0,000 -134,848 636,0563561,9140,000 755,149115,600 5,6008,60048,160 48,160 134,848 636,0563561,914269,696 755,1491211,200 5,6008,60048,160 96,320 404,544 636,0563561,9141078,784 3775,744 34/84Proiect la Arhitectur Naval 1316,800 5,6008,60048,160 144,480 674,240 636,0563561,9142427,264 9816,9341422,400 5,6008,33047,404 186,592 927,002 578,0103399,3844179,661 18499,3891528,000 5,6007,70044,885 215,610 1126,165 456,5952896,8936037,074 28606,8581633,600 5,6006,77040,517 227,472 1240,629 310,2892147,2757643,059 38304,3731739,200 5,6005,41634,121 212,307 1231,382 158,8681313,6388322,442 44703,4041844,800 5,6003,76025,693 168,448 1066,115 53,157 593,671 7546,470 44432,95518,547,600 2,8002,8039,188 133,405 422,594 22,014 105,240 6350,088 19455,1811950,400 2,8001,8806,556 94,752 319,420 6,645 40,122 4775,501 15575,82419,553,200 2,8000,9924,021 52,785 206,552 0,977 10,670 2808,164 10617,1312056,000 2,8000,2101,683 11,760 90,363 0,009 1,380 658,560 4853,414Extr. Pv56,30 0,2970,0000,147 0,000 7,84 0,00 0,15 0,00 417,01Sume792,420-3345,14 48788,58634846,67 S1 S2S3S4WL= 11 z= 7,04Cupla x dx y s(y) xy s(xy) y3 s(y3) x2y s(x2y)Extr. pp -58,600- 3,281- -192,267- 35,320 - 11266,823-0 -56,0002,6004,0809,569 -228,480-546,971 67,917 134,208 12794,88031280,214 35/84Proiect la Arhitectur Naval 0,5 -53,2002,8004,96212,659 -263,975-689,436 122,166266,117 14043,44737573,6581 -50,4002,8005,80015,067 -292,320-778,812 195,112444,190 14732,92840286,9251,5 -47,6002,8006,51017,235 -309,899-843,107 275,957659,497 14751,21641277,8022 -44,8002,8007,09019,041 -317,632-878,544 356,401885,301 14229,91440573,5823 -39,2005,6008,03742,354 -315,035-1771,466519,0592451,28712349,35674421,9544 -33,6005,6008,49046,274 -285,264-1680,836611,9603166,8539584,870 61415,8335 -28,0005,6008,60047,852 -240,800-1472,979636,0563494,4456742,400 45716,3576 -22,4005,6008,60048,160 -192,640-1213,632636,0563561,9144315,136 30961,1017-16,8005,6008,60048,160 -144,480-943,936 636,0563561,9142427,264 18878,7208-11,2005,6008,60048,160 -96,320 -674,240 636,0563561,9141078,784 9816,9349-5,600 5,6008,60048,160 -48,160 -404,544 636,0563561,914269,696 3775,744100,000 5,6008,60048,160 0,000 -134,848 636,0563561,9140,000 755,149115,600 5,6008,60048,160 48,160 134,848 636,0563561,914269,696 755,1491211,200 5,6008,60048,160 96,320 404,544 636,0563561,9141078,784 3775,7441316,800 5,6008,60048,160 144,480 674,240 636,0563561,9142427,264 9816,9341422,400 5,6008,38747,564 187,869 930,577 589,9563432,8354208,261 18579,4701528,000 5,6007,76645,227 217,437 1134,856 468,3012963,1216088,230 28830,176 36/84Proiect la Arhitectur Naval 1633,600 5,6006,91441,103 232,310 1259,292 330,5132236,6787805,629 38902,8081739,200 5,6005,64135,154 221,129 1269,630 179,5061428,0538668,259 46126,8871844,800 5,6003,97026,911 177,856 1117,158 62,571 677,815 7967,949 46581,38118,547,600 2,8003,0149,778 143,475 449,863 27,384 125,937 6829,394 20716,2801950,400 2,8002,0407,076 102,816 344,807 8,490 50,224 5181,926 16815,84919,553,200 2,8001,0764,363 57,259 224,105 1,247 13,631 3046,187 11519,3592056,000 2,8000,2601,871 14,560 100,547 0,018 1,770 815,360 5406,166Extr. Pv56,682 0,6820,0000,089 0,000 4,965 0,000 0,006 0,000 278,038Sume814,466-3983,92 50927,28684838,21S1 S2S3 S4WL= 12 z= 7,68Cupla x dx y s(y) xy s(xy) y3 s(y3) x2y s(x2y)Extr. pp -58,600- 4,018- -235,455- 64,868 - 13797,651-0 -56,0002,6004,73011,372 -264,880-650,435 105,824221,899 14833,28037220,2110,5 -53,2002,8005,57514,427 -296,585-786,051 173,265390,725 15778,30542856,2191 -50,4002,8006,25716,564 -315,338-856,691 244,927585,468 15893,01944339,8541,5 - 2,80 6,92 18,456 - -903,035 332,26 808,069 15693,10 44220,576 37/84Proiect la Arhitectur Naval 47,600 0 6 329,687 5 72 -44,8002,8007,51920,223 -336,851-933,154 425,0891060,297 15090,93443097,6573 -39,2005,6008,29144,269 -325,015-1853,225569,9702786,167 12740,59077928,2654 -33,6005,6008,60047,295 -288,960-1719,130636,0563376,873 9709,056 62859,0085 -28,0005,6008,60048,160 -240,800-1483,328636,0563561,914 6742,400 46064,0776 -22,4005,6008,60048,160 -192,640-1213,632636,0563561,914 4315,136 30961,1017-16,8005,6008,60048,160 -144,480-943,936 636,0563561,914 2427,264 18878,7208-11,2005,6008,60048,160 -96,320 -674,240 636,0563561,914 1078,784 9816,9349-5,600 5,6008,60048,160 -48,160 -404,544 636,0563561,914 269,696 3775,744100,000 5,6008,60048,160 0,000 -134,848 636,0563561,914 0,000 755,149115,600 5,6008,60048,160 48,160 134,848 636,0563561,914 269,696 755,1491211,200 5,6008,60048,160 96,320 404,544 636,0563561,914 1078,784 3775,7441316,800 5,6008,60048,160 144,480 674,240 636,0563561,914 2427,264 9816,9341422,400 5,6008,45647,755 189,403 934,873 604,5303473,641 4242,632 18675,7081528,000 5,6007,88245,744 220,682 1148,239 489,5833063,517 6179,096 29180,8381633,600 5,6007,06641,853 237,418 1282,679 352,7942358,656 7977,231 39637,7171739,200 5,6005,87836,244 230,425 1309,961 203,1111556,533 9032,677 47627,74418 44,800 5,60 4,19 28,191 187,712 1170,785 73,560 774,678 8409,498 48838,090 38/84Proiect la Arhitectur Naval 0 018,547,600 2,8003,24510,408 154,439 479,012 34,155 150,801 7351,307 22065,1271950,400 2,8002,2507,692 113,400 374,975 11,391 63,764 5715,360 18293,33419,553,200 2,8001,2464,894 66,288 251,563 1,934 18,655 3526,516 12938,6262056,000 2,8000,3202,192 17,920 117,891 0,033 2,754 1003,520 6342,050Extr. Pv57,057 1,0570,0000,169 0,000 9,471 0,000 0,017 0,000 530,360Sume831,190-4263,17052749,737721250,934S1 S2S3 S4 39/84Proiect la Arhitectur Naval Tabelul centralizator al calculului pe plutiriWL z AW xF Ix IyF0 - 898,20 1,17 11294,94380644,831 0,641171,872,95 19476,83644027,022 1,281264,962,90 22944,71734978,333 1,921312,362,36 24724,49782868,394 2,561342,351,63 25814,43816245,835 3,201367,440,75 26836,07839441,146 3,841394,26-0,1327837,85872590,687 4,481423,47-0,8928850,99909512,668 5,121462,14-1,6929854,37963584,259 5,761518,79-3,0131029,821083127,4310 6,401584,84-4,2232525,721230719,0311 7,041628,93-4,8933951,521330702,1112 7,681662,38-5,1335166,491398770,31Calculul caracteristicilor de volumRelaii de bazaVolumulMomentul static n raport cu planul yOzMomentul static n raport cu planul xOy 40/84zWd A V0zW F yOzd A x M0Proiect la Arhitectur Naval Metoda numerica de integrare: metoda trapezelor cu limita superioara variabilaunde:ffuncia de integrat, respectiv f=Aw, f=xFAw sau f= zAw dup caz.i = 1 .. n indicele plutirilor pana la care se face calcululj = 0 .. i indicele plutirilor de calculzj,cotele plutirilor de calculfj,valoarea funciei la cotele de calculTabelul caracteristicilor de volumWL zdz AW s(AW) V xFs(xFAW) MyOz s(zAW) MxOy0 - - 898,20- 0,00 1,17- 0,00- 0,00 10,64 0,64 1171,87 1035,04662,42 0,901049,79671,87375,00240,00 21,28 0,64 1264,96 1218,421442,21 0,831049,79 1343,731184,57998,13 31,92 0,64 1312,36 1288,662266,95 0,801049,79 2015,602069,442322,57 42,56 0,64 1342,35 1327,363116,46 0,781049,79 2687,462978,084228,54 53,20 0,64 1367,44 1354,903983,60 0,771049,79 3359,333906,136728,46 63,84 0,64 1394,26 1380,854867,34 0,751049,79 4031,204864,899841,99 74,48 0,64 1423,47 1408,865769,01 0,741049,79 4703,065865,5413595,93 85,12 0,64 1462,14 1442,806692,41 0,721049,79 5374,936931,6518032,18 95,76 0,64 1518,79 1490,467646,31 0,691049,79 6046,808117,1923227,19 106,40 0,64 1584,84 1551,818639,47 0,661049,79 6718,669445,6029272,37 117,04 0,64 1628,93 1606,899667,87 0,641049,79 7390,53 10805,3336187,78 127,68 0,64 1662,38 1645,66 10721,09 0,631049,79 8062,39 12117,3843942,90 unde:dzi = zi - zi-1sumele pariale si(f) = 1/2(fi+fi-1)Vi = Vi-1+si(Aw)dzi(MyOz)i = (MyOz)i-1 + si(xFAw)dzi 41/84 + zijj j j jf f z z d f S011 1) )( (21) ( zW xOyd A M0 Proiect la Arhitectur Naval (MxOy)i = (MxOy)i-1 + si(zAw)dziTabelul centralizator al calculului de carene drepteCoeficient de nveli i apendici (1+k)=1,006Densitate apa 1,025 t/m3WL zAW xF V xB zB Ix IyF r R0 - 898,201,170,000,00 1,17 0,00 11294,94380644,83 --10,64 1171,872,95662,42683,06 1,01 0,36 19476,83644027,02 29,40972,23 21,28 1264,962,901442,211487,14 0,93 0,69 22944,71734978,33 15,91509,62 31,92 1312,362,362266,952337,57 0,89 1,02 24724,49782868,39 10,91345,34 42,56 1342,351,633116,463213,54 0,86 1,36 25814,43816245,838,28261,91 53,20 1367,440,753983,604107,69 0,84 1,69 26836,07839441,146,74210,72 63,84 1394,26 -0,134867,345018,96 0,83 2,02 27837,85872590,685,72179,27 74,48 1423,47 -0,895769,015948,72 0,82 2,36 28850,99909512,665,00157,65 85,12 1462,14 -1,696692,416900,88 0,80 2,69 29854,37963584,254,46143,98 95,76 1518,79 -3,017646,317884,49 0,79 3,04 31029,82 1083127,434,06141,65 106,40 1584,84 -4,118639,478908,59 0,78 3,39 32525,72 1230719,033,76142,45 117,04 1628,93 -4,899667,879969,03 0,76 3,74 33951,52 1330702,113,51137,64 127,68 1662,38 -5,13 10721,09 11055,06 0,75 4,10 35166,49 1398770,313,28130,47 unde:Deplasamentul n apa srat = (1+k)VAbscisa centrului de volum xB = MyOz / VCota centrului de volumzB = MxOy / VRaza metacentrica transversalr=Ix/VRaza metacentrica longitudinalaR = IyF/VCoeficieni de fineeL= 112 m (Lpp)B=17,2 mWL z AW V AM CW CB CM CPL CPV0 - 898,20 0,00 0,47- -1 0,641171,87662,42 0,610,54 0,882 1,2 1264,9 1442,21 0,6 0,58 0,89 42/84Proiect la Arhitectur Naval 8 6 63 1,921312,362266,95 0,680,61 0,904 2,561342,353116,46 0,700,63 0,915 3,201367,443983,60 0,710,65 0,916 3,841394,264867,34 0,720,66 0,917 4,481423,475769,01 0,740,67 0,908 5,121462,146692,41 0,760,68 0,899 5,761518,797646,31 0,790,69 0,8710 6,401584,848639,47 0,820,7010,8511 7,041628,939667,87 0,850,71 0,8412 7,681662,3810721,090,860,72 0,84unde:CW = Aw/LBCB = V/LBzCM = AM/LBCPL = CB/CMCPV = CB/CWObs: Aria transversala la cuplul maestru, CM i CPL se vor completa dup calculul Bonjean.7. Trasarea diagramei de carene drepte7.1 Stabilirea formatului de hrtie i a scrilor de reprezentareSe va face conform urmtoarelor considerente: - claritatea curbelor;- evitarea aglomerrii curbelor; 43/84Proiect la Arhitectur Naval - scrile s fie rotunde.Am ales formatul A3 landscape pentru reprezentarea diagramelor de carene drepte.Exprimarea scrilor se poate face n dou moduri:- prin axe multiple fiecare ax la scara ei- prin explicitare:z,zB 1cm..........................40mAw 1cm.........................0,1m2xF,xB 1cm.........................0,1mV, 1cm..........................40m3Ix 1cm........................100m4IyF 1cm......................3000m4r 1cm.........................0,1mR 1cm............................2mAm ales a doua varianta.Pe diagram se traseaz explicit CWL-ul i cuplul maestru corespunztor graficelor pentru XB i XF.7.2Trasarea propriu-zis a curbelor de carene drepteSe face conform urmtoarelor observaii:- curbele trec prin punctele de definiie- curbele sunt aviate- curbele, n general, nu ating WL0 i se continu pn peste CWL.- curbele se inscripioneaz.Pentru trasarea diagramelor de carene drepte am utilizat programul EXCEL. Aa cumamartat lacap.6, pentrucalculul decarene drepteamutilizat, deasemenea, programul EXCEL. Tabelul final coninnd valorile pe plutiri ale variabilelor ce formeaz diagrama de carene l-am completat cu scrile de reprezentare. Apoi am obinut reprezentarea grafica a curbelor de carene drepte.7.3. Marca de bord liber8. Calculul ariilor transversale imerseRelaii de bazaAria transversala( )zTyd z A02 44/84Proiect la Arhitectur Naval Volumul ( )dx x A VBAXXTAbscisa centrului de carena LT Bdx xAVx1Ordonata centrului de carena LyT Bdx AVz1Metoda numerica de integrare: metoda trapezelorunde:ffuncia de integrat, respectiv f=y, f=xy, f=y3 sau f=x2y, dup caz.i = 0 .. n indicele punctelor de calculxi,abscisele n punctele de calculfi,valoarea funciei la abscisele n punctele de calcul9. Diagrama BonjeanConsta n reprezentarea curbelor ariilor transversale imerse( ) z AT pentru seciuni transversale tipice ale navei, reprezentare efectuata pe conturul lateral al navei.( )zTyd z A02 ( )zyTyd z M02 Diagrama se utilizeaz pentru:1. Calculul volumului i coordonatelor centrului de carena pentru o plutire oarecare fr inclinare transversala.2. Aria curbelor transversale imerse.3. Diagrama de asieta.9.1 Stabilirea formatului de hrtie i a scrilor de reprezentareSe vor folosi 4 scri de reprezentare:x: 1 cm = 200 cmz: 1 cm = 50 cm( ) z AT:1 cm = 100 m2( ) z MyT : 1 cm = 0,2 m 45/84 + XpvXppnii if f x x dx x f S11 1 1 1) )( (21) (Proiect la Arhitectur Naval Se va face conform urmtoarelor considerente: - claritatea curbelor;- evitarea aglomerrii curbelor;- scrile s fie rotunde.Am ales formatul A1 landscape pentru reprezentarea diagramei Bonjean.Se construiete caroiajul innd cont de scri, precum i conturul navei n PD prin relevee de pe planul de forme.Se calculeaz( ) z AT i ( ) z MyT .Se traseaz curbele( ) z AT i ( ) z MyTinnd cont de scara i de faptul ca axa z a fiecrei curbe este axa z a cuplei. Observaii: 1. Curbele sunt rbtute.2. Pe diagrama vom reprezenta: corpul navei precum i suprastructurile etane care fac parte din forma navei.9.2 Trasarea propriu-zis a curbelor ariilorSe face conform urmtoarelor observaii:- curbele trec prin punctele de definiie- curbele sunt aviatePentru trasarea diagramei Bonjean am utilizat programul EXCEL. Aa cum am artat la cap.8, pentru calculul ariilor transversale am utilizat, de asemenea, programul EXCEL. Tabelul final coninnd valorile pe plutiri ale variabilelor ce formeaz diagrama Bonjean l-am completat cu scrile de reprezentare. Apoi am obinut reprezentarea grafica a curbelor de carene drepte.9.3 Date iniialeVor fi:- tabelul de semilimi (Capitolul 5, tabelul 4)- tabelul de nlimi pe cuple (Capitolul 5, tabelul 6)( ) ( )1 1 i i i i iy y z z ai i T i Ta A A + 1( ) ( )1 1 1 + i i i i i iiyz z z y z y MiyiyTiyTM M M + 19.4Calculul efectivcupla 0 x= -56,00WL z y a AT zy My MyT0 0,00 0,000 0,000 0,000 0,000 0,000 0,0001 0,64 0,00 0,000 0,000 0,000 0,000 0,000 46/84Proiect la Arhitectur Naval 02 1,28 0,000 0,000 0,000 0,000 0,000 0,0003 1,92 0,000 0,000 0,000 0,000 0,000 0,0004 2,56 0,000 0,000 0,000 0,000 0,000 0,0005 3,20 0,000 0,000 0,000 0,000 0,000 0,0006 3,84 0,000 0,000 0,000 0,000 0,000 0,0007 4,48 0,000 0,000 0,000 0,000 0,000 0,0008 5,12 0,000 0,000 0,000 0,000 0,000 0,0009 5,76 1,502 0,961 0,961 8,652 5,537 5,53710 6,40 3,010 2,888 3,84919,264 17,866 23,40311 7,04 4,080 4,538 8,38728,723 30,712 54,11512 7,68 4,730 5,63814,02536,326 41,632 95,746P9,2835,75116,80130,82653,387143,810 239,556D9,6210,000 1,94432,770 0,000 18,045 257,601cupla 0,5 x= -53,20WL z y a AT zy My MyT0 0,00 0,000 0,000 0,000 0,000 0,000 0,0001 0,64 0,000 0,000 0,000 0,000 0,000 0,0002 1,28 0,000 0,000 0,000 0,000 0,000 0,0003 1,92 0,000 0,000 0,000 0,000 0,000 0,0004 2,56 0,000 0,000 0,000 0,000 0,000 0,0005 3,20 0,000 0,000 0,000 0,000 0,000 0,0006 3,84 0,000 0,000 0,000 0,000 0,000 0,0007 4,48 0,00 0,000 0,000 0,000 0,000 0,000 47/84Proiect la Arhitectur Naval 08 5,12 1,010 0,646 0,646 5,171 3,310 3,3109 5,76 2,539 2,271 2,91814,625 12,669 15,97910 6,40 4,034 4,207 7,12425,818 25,883 41,86211 7,04 4,962 5,75712,88234,932 38,880 80,74212 7,68 5,575 6,74419,62642,816 49,759 130,501P9,0976,38116,94236,56758,048142,924 273,425D9,4340,000 2,15038,718 0,000 19,562 292,987cupla 1 x= -50,40WL z y a AT zy My MyT0 0,00 0,210 0,000 0,000 0,000 0,000 0,0001 0,64 0,430 0,410 0,410 0,275 0,176 0,1762 1,28 0,498 0,594 1,004 0,637 0,584 0,7603 1,92 0,589 0,696 1,699 1,131 1,132 1,8924 2,56 0,750 0,857 2,556 1,920 1,953 3,8455 3,20 0,909 1,062 3,618 2,909 3,090 6,9356 3,84 1,180 1,337 4,955 4,531 4,762 11,6977 4,48 1,610 1,786 6,740 7,213 7,516 19,2138 5,12 2,470 2,611 9,35212,646 12,710 31,9239 5,76 3,568 3,86413,21620,552 21,247 53,16910 6,40 4,99 5,477 18,69 31,93 33,592 86,761 48/84Proiect la Arhitectur Naval 0 3 611 7,04 5,800 6,90625,59940,832 46,572 133,33312 7,68 6,257 7,71633,31548,054 56,887 190,220P8,9556,99916,90150,21762,676141,181 331,400D9,2950,000 2,38052,596 0,000 21,310 352,710cupla 1,5 x= -47,60WL z y a AT zy My MyT0 0,00 0,334 0,000 0,000 0,000 0,000 0,0001 0,64 0,758 0,699 0,699 0,485 0,310 0,3102 1,28 0,953 1,095 1,794 1,220 1,091 1,4023 1,92 1,143 1,341 3,135 2,195 2,185 3,5874 2,56 1,373 1,610 4,746 3,515 3,654 7,2415 3,20 1,676 1,951 6,697 5,363 5,682 12,9236 3,84 2,100 2,417 9,114 8,064 8,593 21,5167 4,48 2,660 3,04612,16011,917 12,788 34,3048 5,12 3,556 3,97816,13818,207 19,279 53,5839 5,76 4,570 5,20121,33926,323 28,499 82,08210 6,40 5,816 6,64727,98637,222 40,669 122,75111 7,04 6,510 7,88935,87545,830 53,154 175,90512 7,68 6,926 8,59944,47453,192 63,374 239,279P 8,857,50016,87861,35266,375139,893 379,172D9,2020,000 2,64063,992 0,000 23,364 402,536 49/84Proiect la Arhitectur Naval cupla 2 x= -44,80WL z y a AT zy My MyT0 0,00 0,530 0,000 0,000 0,000 0,000 0,0001 0,64 1,180 1,094 1,094 0,755 0,483 0,4832 1,28 1,500 1,715 2,810 1,920 1,712 2,1953 1,92 1,830 2,131 4,941 3,514 3,478 5,6734 2,56 2,150 2,547 7,488 5,504 5,771 11,4445 3,20 2,580 3,02710,515 8,256 8,806 20,2516 3,84 3,133 3,65614,17212,031 12,984 33,2347 4,48 3,781 4,42518,59616,939 18,541 51,7758 5,12 4,548 5,33123,92723,286 25,744 77,5189 5,76 5,603 6,49730,42432,273 35,558 113,07610 6,40 6,513 7,75438,17841,683 47,332 160,40811 7,04 7,090 8,70646,88449,914 58,622 219,03012 7,68 7,519 9,35056,23457,746 68,902 287,932P8,7727,93316,87473,10769,588139,049 426,981D9,1260,000 2,80875,915 0,000 24,634 451,616cupla 3 x= -39,20WL z y a AT zy My MyT0 0,00 1,388 0,000 0,000 0,000 0,000 0,0001 0,64 2,396 2,422 2,422 1,533 0,981 0,9812 1,28 2,87 3,375 5,796 3,683 3,338 4,320 50/84Proiect la Arhitectur Naval 73 1,92 3,362 3,993 9,789 6,455 6,488 10,8084 2,56 3,867 4,62714,416 9,900 10,467 21,2755 3,20 4,453 5,32519,74114,250 15,455 36,7306 3,84 5,115 6,12425,86419,642 21,690 58,4207 4,48 5,787 6,97732,84225,926 29,163 87,5848 5,12 6,446 7,82940,67133,004 37,715 125,2989 5,76 7,038 8,63049,30040,539 47,067 172,36510 6,40 7,580 9,35658,65648,512 56,993 229,35811 7,04 8,037 9,99568,65156,580 67,259 296,61712 7,68 8,29110,45079,10163,675 76,963 373,581P8,6598,50516,44395,54473,645134,436 508,017D9,0170,000 3,04598,589 0,000 26,365 534,381cupla 4 x= -33,60WL z y a AT zy My MyT0 0,00 2,680 0,000 0,000 0,000 0,000 0,0001 0,64 3,920 4,224 4,224 2,509 1,606 1,6062 1,28 4,510 5,395 9,619 5,773 5,300 6,9063 1,92 5,050 6,118 15,738 9,696 9,900 16,8064 2,56 5,64 6,842 22,579 14,43 15,446 32,252 51/84Proiect la Arhitectur Naval 0 85 3,20 6,230 7,597 30,17619,936 22,000 54,2526 3,84 6,820 8,352 38,52826,189 29,520 83,7717 4,48 7,360 9,075 47,60332,973 37,863 121,6358 5,12 7,740 9,664 57,26739,629 46,465 168,1009 5,76 8,06010,112 67,37946,426 55,075 223,17510 6,40 8,33010,490 77,86953,312 63,832 287,00711 7,04 8,49010,765 88,63459,770 72,372 359,37912 7,68 8,60010,938 99,57166,048 80,523 439,902P8,5498,60014,947114,51873,521121,286 561,188D8,8020,000 2,176116,694 0,000 18,601 579,789cupla 5 x= -28,00WL z y a AT zy My MyT0 0,00 4,093 0,000 0,000 0,000 0,000 0,0001 0,64 5,468 6,119 6,119 3,500 2,240 2,2402 1,28 6,183 7,457 13,576 7,914 7,305 9,5443 1,92 6,778 8,295 21,87113,014 13,394 22,9384 2,56 7,262 8,986 30,85618,591 20,227 43,1655 3,20 7,707 9,580 40,43624,662 27,682 70,8476 3,84 8,09310,112 50,54831,077 35,673 106,5217 4,48 8,38610,547 61,09537,569 43,934 150,4548 5,12 8,54510,836 71,93143,750 52,045 202,4999 5,76 8,60010,973 82,90449,536 59,703 262,20210 6,40 8,60 11,00 93,912 55,04 66,929 329,131 52/84Proiect la Arhitectur Naval 0 8 011 7,04 8,60011,008104,92060,544 73,974 403,10512 7,68 8,60011,008115,92866,048 81,019 484,123P8,4258,60012,814128,74272,455103,185 587,308D8,6230,000 1,703130,444 0,000 14,346 601,654cupla 6 x= -22,40WL z y a AT zy My MyT0 0,00 5,370 0,000 0,000 0,000 0,000 0,0001 0,64 6,770 7,770 7,770 4,333 2,773 2,7732 1,28 7,520 9,146 16,915 9,626 8,933 11,7063 1,92 8,060 9,971 26,88615,47516,065 27,7714 2,56 8,33010,490 37,37621,32523,552 51,3235 3,20 8,52710,788 48,16427,28631,111 82,4346 3,84 8,60010,961 59,12633,02438,599 121,0337 4,48 8,60011,008 70,13438,52845,793 166,8268 5,12 8,60011,008 81,14244,03252,838 219,6649 5,76 8,60011,008 92,15049,53659,884 279,54810 6,40 8,60011,008103,15855,04066,929 346,47711 7,04 8,60011,008114,16660,54473,974 420,45012 7,68 8,60 11,00 125,17 66,04 81,01 501,469 53/84Proiect la Arhitectur Naval 0 8 4 8 9P8,3038,60010,716135,88971,40685,634 587,103D8,4860,000 1,574137,463 0,00013,067 600,170cupla 7 x= -16,80WL z y a AT zy My MyT0 0,00 6,327 0,000 0,000 0,000 0,000 0,0001 0,64 7,645 8,942 8,942 4,893 3,131 3,1312 1,28 8,25010,173 19,11510,560 9,890 13,0213 1,92 8,55010,752 29,86716,41617,265 30,2864 2,56 8,60010,976 40,84322,01624,596 54,8825 3,20 8,60011,008 51,85127,52031,703 86,5856 3,84 8,60011,008 62,85933,02438,748 125,3347 4,48 8,60011,008 73,86738,52845,793 171,1278 5,12 8,60011,008 84,87544,03252,838 223,9659 5,76 8,60011,008 95,88349,53659,884 283,84910 6,40 8,60011,008106,89155,04066,929 350,77711 7,04 8,60011,008117,89960,54473,974 424,75112 7,68 8,60011,008128,90766,04881,019 505,770P8,2038,600 8,996137,90270,54671,439 577,209D 8,390,000 1,608139,511 0,00013,192 590,401 54/84Proiect la Arhitectur Naval cupla 8 x= -11,20WL z y a AT zy My MyT0 0,00 6,980 0,000 0,000 0,000 0,000 0,0001 0,64 8,170 9,696 9,696 5,229 3,346 3,3462 1,28 8,54010,694 20,39010,93110,342 13,6893 1,92 8,60010,970 31,36016,51217,564 31,2524 2,56 8,60011,008 42,36822,01624,658 55,9105 3,20 8,60011,008 53,37627,52031,703 87,6136 3,84 8,60011,008 64,38433,02438,748 126,3627 4,48 8,60011,008 75,39238,52845,793 172,1558 5,12 8,60011,008 86,40044,03252,838 224,9939 5,76 8,60011,008 97,40849,53659,884 284,87710 6,40 8,60011,008108,41655,04066,929 351,80511 7,04 8,60011,008119,42460,54473,974 425,77912 7,68 8,60011,008130,43266,04881,019 506,798P8,1358,600 7,826138,25869,96161,884 568,682D8,3360,000 1,729139,987 0,00014,062 582,744cupla 9 x= -5,60WL z y a AT zy My MyT0 0,00 7,372----- 1 0,64 8,340 10,056 10,056 5,338 3,416 3,416 2 1,28 8,600 10,842 20,897 11,008 10,461 13,877 3 1,92 8,600 11,008 31,905 16,512 17,613 31,490 55/84Proiect la Arhitectur Naval 4 2,56 8,600 11,008 42,913 22,016 24,658 56,148 5 3,20 8,600 11,008 53,921 27,520 31,703 87,851 6 3,84 8,600 11,008 64,929 33,024 38,748 126,599 7 4,48 8,600 11,008 75,937 38,528 45,793 172,392 8 5,12 8,600 11,008 86,945 44,032 52,838 225,231 9 5,76 8,600 11,008 97,953 49,536 59,884 285,114 10 6,40 8,600 11,008 108,961 55,040 66,929 352,043 11 7,04 8,600 11,008 119,969 60,544 73,974 426,017 12 7,68 8,600 11,008 130,977 66,048 81,019 507,036 P8,1018,600 7,241 138,218 69,669 57,137 564,172 D8,321- 1,892 140,110- 15,327 579,499 cupla 10 x= 0,00WL z y a AT zy My MyT0 0,00 7,480 0,000 0,000 0,000 0,000 0,0001 0,64 8,51010,234 10,234 5,446 3,486 3,4862 1,28 8,60010,950 21,18411,00810,531 14,0173 1,92 8,60011,008 32,19216,51217,613 31,6294 2,56 8,60011,008 43,20022,01624,658 56,2875 3,20 8,60011,008 54,20827,52031,703 87,990 56/84Proiect la Arhitectur Naval 6 3,84 8,60011,008 65,21633,02438,748 126,7387 4,48 8,60011,008 76,22438,52845,793 172,5328 5,12 8,60011,008 87,23244,03252,838 225,3709 5,76 8,60011,008 98,24049,53659,884 285,25410 6,40 8,60011,008109,24855,04066,929 352,18211 7,04 8,60011,008120,25660,54473,974 426,15612 7,68 8,60011,008131,26466,04881,019 507,175P 8,18,600 7,224138,48869,66056,997 564,172D8,3460,000 2,116140,604 0,00017,136 581,309cupla 11 x= 5,60WL z y a AT zy My MyT0 0,00 7,301 0,000 0,000 0,000 0,000 0,0001 0,64 8,38010,036 10,036 5,363 3,432 3,4322 1,28 8,60010,867 20,90311,00810,478 13,9103 1,92 8,60011,008 31,91116,51217,613 31,5234 2,56 8,60011,008 42,91922,01624,658 56,1815 3,20 8,60011,008 53,92727,52031,703 87,8846 3,84 8,60011,008 64,93533,02438,748 126,6327 4,48 8,60011,008 75,94338,52845,793 172,4258 5,12 8,60011,008 86,95144,03252,838 225,2649 5,76 8,60011,008 97,95949,53659,884 285,14710 6,40 8,60011,008108,96755,04066,929 352,07611 7,04 8,60011,008119,97560,54473,974 426,050 57/84Proiect la Arhitectur Naval 12 7,68 8,60011,008130,98366,04881,019 507,068P8,1348,600 7,809138,79269,95261,744 568,813D 8,410,000 2,374141,165 0,00019,307 588,119cupla 12 x= 11,20WL z y a AT zy My MyT0 0,00 6,980 0,000 0,000 0,000 0,000 0,0001 0,64 8,170 9,696 9,696 5,229 3,346 3,3462 1,28 8,50810,674 20,37010,89010,316 13,6633 1,92 8,56910,929 31,29916,45217,499 31,1624 2,56 8,60010,988 42,28722,01624,620 55,7825 3,20 8,60011,008 53,29527,52031,703 87,4856 3,84 8,60011,008 64,30333,02438,748 126,2337 4,48 8,60011,008 75,31138,52845,793 172,0268 5,12 8,60011,008 86,31944,03252,838 224,8659 5,76 8,60011,008 97,32749,53659,884 284,74810 6,40 8,60011,008108,33555,04066,929 351,67711 7,04 8,60011,008119,34360,54473,974 425,65112 7,68 8,60011,008130,35166,04881,019 506,669P8,2068,600 9,047139,39970,57271,862 578,531 58/84Proiect la Arhitectur Naval D8,5120,000 2,632142,030 0,00021,595 600,126cupla 13 x= 16,80WL z y a AT zy My MyT0 0,00 6,608 0,000 0,000 0,000 0,000 0,0001 0,64 7,935 9,308 9,308 5,078 3,250 3,2502 1,28 8,34310,418 19,72510,67910,085 13,3353 1,92 8,45010,748 30,47316,22417,218 30,5534 2,56 8,50510,851 41,32421,77324,318 54,8715 3,20 8,53510,906 52,23027,31231,414 86,2856 3,84 8,55310,936 63,16632,84438,500 124,7857 4,48 8,57410,961 74,12738,41245,603 170,3888 5,12 8,59210,986 85,11443,99152,738 223,1269 5,76 8,60011,003 96,11649,53659,857 282,98310 6,40 8,60011,008107,12455,04066,929 349,91111 7,04 8,60011,008118,13260,54473,974 423,88512 7,68 8,60011,008129,14066,04881,019 504,904P8,3188,60010,974140,11471,53587,778 592,682D8,6510,000 2,864142,978 0,00023,821 616,503cupla 14 x= 22,40 59/84Proiect la Arhitectur Naval WL z y a AT zy My MyT0 0,00 5,910 0,000 0,000 0,000 0,000 0,0001 0,64 7,410 8,525 8,525 4,742 3,035 3,0352 1,28 7,840 9,760 18,28510,035 9,458 12,4933 1,92 8,02710,155 28,44015,412 16,286 28,7794 2,56 8,11010,328 38,76720,762 23,151 51,9305 3,20 8,17010,419 49,18726,144 30,020 81,9496 3,84 8,21710,488 59,67431,553 36,926 118,8767 4,48 8,24610,536 70,21136,942 43,837 162,7138 5,12 8,27010,570 80,78142,342 50,742 213,4559 5,76 8,30010,605 91,38647,808 57,696 271,15110 6,40 8,33010,643102,02953,312 64,717 335,86811 7,04 8,38710,699112,72859,044 71,908 407,77612 7,68 8,45610,780123,50764,942 79,351 487,127P8,4748,54413,498137,00572,402109,051 596,179D8,8320,000 3,059140,064 0,000 25,920 622,098 cupla 15 x= 28,00WL z y a AT zy My MyT0 0,00 4,640 0,000 0,000 0,000 0,000 0,0001 0,64 6,341 7,028 7,028 4,058 2,597 2,5972 1,28 6,893 8,470 15,498 8,823 8,244 10,8413 1,92 7,189 9,012 24,51013,803 14,481 25,3224 2,56 7,311 9,280 33,79018,716 20,812 46,1345 3,20 7,41 9,423 43,213 23,72 27,160 73,294 60/84Proiect la Arhitectur Naval 3 26 3,84 7,481 9,532 52,74628,727 33,567 106,8617 4,48 7,542 9,615 62,36033,788 40,010 146,8718 5,12 7,600 9,691 72,05138,912 46,528 193,3999 5,76 7,650 9,760 81,81144,064 53,105 246,50410 6,40 7,700 9,824 91,63549,280 59,740 306,24411 7,04 7,766 9,898101,53354,673 66,530 372,77412 7,68 7,88210,015111,54860,534 73,732 446,506P8,6798,12515,991127,53970,517130,920 577,425D9,1130,000 3,526131,065 0,000 30,604 608,030cupla 16 x= 33,60WL z y a AT zy My MyT0 0,00 3,220 0,000 0,000 0,000 0,000 0,0001 0,64 4,955 5,232 5,232 3,171 2,030 2,0302 1,28 5,500 6,691 11,923 7,040 6,535 8,5653 1,92 5,889 7,289 19,21211,307 11,742 20,3074 2,56 6,072 7,655 26,86715,544 17,185 37,4925 3,20 6,230 7,873 34,74019,936 22,707 60,1996 3,84 6,348 8,050 42,79024,376 28,360 88,5597 4,48 6,44 8,186 50,977 28,86 34,074 122,633 61/84Proiect la Arhitectur Naval 3 58 5,12 6,550 8,316 59,29233,536 39,936 162,5699 5,76 6,660 8,454 67,74738,362 46,014 208,58410 6,40 6,770 8,595 76,34243,328 52,281 260,86511 7,04 6,914 8,758 85,10048,675 58,882 319,74712 7,68 7,066 8,947 94,04754,267 65,883 385,629P8,9417,51418,385112,43267,183153,148 538,777D9,2930,000 2,645115,077 0,000 23,648 562,426cupla 17 x= 39,20WL z y a AT zy My MyT0 0,00 2,080 0,000 0,000 0,000 0,000 0,0001 0,64 3,420 3,520 3,520 2,189 1,401 1,4012 1,28 4,002 4,750 8,270 5,123 4,679 6,0803 1,92 4,300 5,31313,583 8,256 8,562 14,6424 2,56 4,478 5,61819,20111,464 12,621 27,2635 3,20 4,625 5,82625,02714,800 16,809 44,0726 3,84 4,767 6,01131,03818,305 21,187 65,2597 4,48 4,930 6,20637,24422,086 25,851 91,1108 5,12 5,067 6,39843,64225,943 30,739 121,8499 5,76 5,236 6,59450,23630,159 35,906 157,75410 6,40 5,416 6,81757,05334,662 41,486 199,24011 7,04 5,641 7,07664,13039,713 47,600 246,84012 7,68 5,878 7,37271,50245,143 54,308 301,148P 9,26 6,55 19,73 91,23 60,77 168,08 469,236 62/84Proiect la Arhitectur Naval 7 8 6 8 3 9D9,6080,000 2,23693,474 0,000 20,724 489,960cupla 18 x= 44,80WL z y a AT zy My MyT0 0,00 1,070 0,000 0,000 0,000 0,000 0,0001 0,64 2,360 2,195 2,195 1,510 0,967 0,9672 1,28 2,790 3,296 5,491 3,571 3,252 4,2193 1,92 3,010 3,712 9,203 5,779 5,984 10,2034 2,56 3,060 3,88513,088 7,834 8,712 18,9155 3,20 3,080 3,93017,018 9,856 11,321 30,2376 3,84 3,110 3,96220,97911,942 13,951 44,1887 4,48 3,220 4,05125,03014,426 16,876 61,0638 5,12 3,349 4,20429,23517,147 20,206 81,2709 5,76 3,528 4,40133,63620,321 23,980 105,24910 6,40 3,760 4,66438,30024,064 28,407 133,65611 7,04 3,970 4,94743,24727,949 33,288 166,94412 7,68 4,190 5,22248,47032,179 38,482 205,426P 9,655,29318,68267,15151,077164,016 369,441D9,9550,000 1,61468,766 0,000 15,579 385,020 63/84Proiect la Arhitectur Naval cupla 18,5 x= 47,60WL z y a AT zy My MyT0 0,00 0,547 0,000 0,000 0,000 0,000 0,0001 0,64 2,095 1,691 1,691 1,341 0,858 0,8582 1,28 2,461 2,916 4,607 3,150 2,874 3,7323 1,92 2,613 3,247 7,854 5,017 5,227 8,9594 2,56 2,574 3,32011,174 6,589 7,428 16,3875 3,20 2,405 3,18714,360 7,696 9,143 25,5306 3,84 2,326 3,02817,388 8,932 10,642 36,1727 4,48 2,388 3,01720,40510,698 12,563 48,7358 5,12 2,484 3,11823,52312,718 14,986 63,7219 5,76 2,597 3,25226,77514,959 17,713 81,43510 6,40 2,803 3,45630,23117,939 21,055 102,48911 7,04 3,014 3,72333,95421,219 25,061 127,55012 7,68 3,245 4,00637,96024,922 29,530 157,080P 9,8534,38516,58054,54043,205148,040 305,120D10,1390,000 1,25455,794 0,000 12,357 317,477cupla 19 x= 50,40WL z y a AT zy My MyT0 0,00 0,000 0,000 0,000 0,000 0,000 0,000 64/84Proiect la Arhitectur Naval 1 0,64 1,930 1,235 1,235 1,235 0,791 0,7912 1,28 2,250 2,675 3,910 2,880 2,634 3,4243 1,92 2,310 2,918 6,829 4,435 4,682 8,1064 2,56 2,150 2,854 9,683 5,504 6,361 14,4675 3,20 1,820 2,54112,224 5,824 7,250 21,7176 3,84 1,660 2,22714,451 6,374 7,807 29,5247 4,48 1,610 2,09316,544 7,213 8,696 38,2208 5,12 1,630 2,07418,618 8,346 9,957 48,1779 5,76 1,720 2,14420,762 9,907 11,682 59,85910 6,40 1,880 2,30423,06612,032 14,041 73,90011 7,04 2,040 2,50925,57414,362 16,892 90,79212 7,68 2,250 2,74628,32017,280 20,251 111,043P 10,063,37413,38541,70533,942121,909 232,952D10,2930,000 0,78642,491 0,000 7,909 240,861cupla 19,5 x=53,20WL z y a AT zy My MyT0 0,00 0,0000,000 0,000 0,000 0,000 0,0001 0,64 1,7681,132 1,132 1,132 0,724 0,7242 1,28 2,0682,455 3,587 2,647 2,418 3,1423 1,92 2,0052,607 6,193 3,850 4,158 7,3004 2,56 1,6912,365 8,559 4,329 5,234 12,5355 3,20 1,3041,91710,476 4,173 5,441 17,9766 3,84 0,9031,41211,888 3,468 4,890 22,866 65/84Proiect la Arhitectur Naval 7 4,48 0,8161,10012,988 3,656 4,559 27,4248 5,12 0,8591,07214,060 4,398 5,154 32,5799 5,76 0,9251,14215,202 5,328 6,225 38,80310 6,40 0,9921,22716,429 6,349 7,473 46,27711 7,04 1,0761,32417,752 7,575 8,911 55,18812 7,68 1,2461,48619,238 9,56910,972 66,160P10,2662,1198,70227,94021,75481,001 147,161D10,4370,0000,36228,303 0,000 3,720 150,881cupla 20 x=56,00WL z y a AT zy My MyT0 0,00 0,0000,000 0,000 0,000 0,000 0,0001 0,64 1,5500,992 0,992 0,992 0,635 0,6352 1,28 1,8802,195 3,187 2,406 2,175 2,8103 1,92 1,6602,266 5,453 3,187 3,580 6,3904 2,56 1,2281,848 7,301 3,144 4,052 10,4425 3,20 0,7821,286 8,588 2,502 3,613 14,0556 3,84 0,2100,635 9,222 0,806 2,118 16,1737 4,48 0,0000,134 9,357 0,000 0,516 16,6898 5,12 0,00 0,00 9,357 0,000 0,000 16,689 66/84Proiect la Arhitectur Naval 0 09 5,76 0,0000,000 9,357 0,000 0,000 16,68910 6,40 0,2100,134 9,491 1,344 0,860 17,54911 7,04 0,2600,301 9,792 1,830 2,032 19,58112 7,68 0,3200,37110,163 2,458 2,744 22,325P10,4671,1284,03614,19911,80739,755 62,080D10,6010,0000,15114,350 0,000 1,582 63,6629.5 Centralizator Bonjean 0 0,5 1 1,5 2 3 4 5 6 7 8 90 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,001 0,00 0,00 0,41 0,70 1,09 2,42 4,22 6,12 7,77 8,94 9,70 10,062 0,00 0,00 1,00 1,79 2,81 5,80 9,62 13,58 16,92 19,11 20,39 20,903 0,00 0,00 1,70 3,14 4,94 9,79 15,74 21,87 26,89 29,87 31,36 31,9140,00 0,00 2,56 4,75 7,4914,42 22,58 30,86 37,38 40,84 42,37 42,9150,00 0,00 3,62 6,7010,5219,74 30,18 40,44 48,16 51,85 53,38 53,9260,00 0,00 4,95 9,1114,1725,86 38,53 50,55 59,13 62,86 64,38 64,9370,00 0,00 6,7412,1618,6032,84 47,60 61,10 70,13 73,87 75,39 75,9480,00 0,65 9,3516,1423,9340,67 57,27 71,93 81,14 84,87 86,40 86,9590,96 2,9213,2221,3430,4249,30 67,38 82,90 92,15 95,88 97,41 97,9510 3,85 7,1218,6927,9938,1858,66 77,87 93,91103,16106,89108,42 108,9611 8,3912,8825,6035,8746,8868,65 88,63104,92114,17117,90119,42 119,971214,0219,6333,3244,4756,2379,10 99,57115,93125,17128,91130,43 130,98P30,8336,5750,2261,3573,1195,54114,52128,74135,89137,90138,26 138,22D32,7738,7252,6063,9975,9298,59116,69130,44137,46139,51139,99 140,11 67/84Proiect la Arhitectur Naval 10 11 12 13 14 15 16 17 18 18,5 19 19,5 200,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,0010,23 10,04 9,70 9,31 8,52 7,03 5,23 3,52 2,20 1,69 1,24 1,13 0,9921,18 20,90 20,37 19,73 18,28 15,50 11,92 8,27 5,49 4,61 3,91 3,59 3,1932,19 31,91 31,30 30,47 28,44 24,51 19,2113,58 9,20 7,85 6,83 6,19 5,4543,20 42,92 42,29 41,32 38,77 33,79 26,8719,2013,0911,17 9,68 8,56 7,3054,21 53,93 53,30 52,23 49,19 43,21 34,7425,0317,0214,3612,2210,48 8,5965,22 64,94 64,30 63,17 59,67 52,75 42,7931,0420,9817,3914,4511,89 9,2276,22 75,94 75,31 74,13 70,21 62,36 50,9837,2425,0320,4116,5412,99 9,3687,23 86,95 86,32 85,11 80,78 72,05 59,2943,6429,2323,5218,6214,06 9,3698,24 97,96 97,33 96,12 91,39 81,81 67,7550,2433,6426,7820,7615,20 9,36109,25108,97108,34107,12102,03 91,64 76,3457,0538,3030,2323,0716,43 9,49120,26119,98119,34118,13112,73101,53 85,1064,1343,2533,9525,5717,75 9,79131,26130,98130,35129,14123,51111,55 94,0571,5048,4737,9628,3219,24 10,16138,49138,79139,40140,11137,01127,54112,4391,2467,1554,5441,7127,94 14,20140,60141,17142,03142,98140,06131,07115,0893,4768,7755,7942,4928,30 14,3510. Predicia de ncrcareTipul navei se determina funcie de rapoartele intre dimensiuni(L/B, B/d) i coeficientul bloc (CB). Hotrm ca nava este un cargou multifuncional. Poate care marfa generala, vrac uor i containere, putnd ncrca la nevoie pana la doua rnduri de containere pe punte.10.1 Calcularea grupelor de maseIn lipsa unui jurnal de greuti sau a unei nave prototip, evaluarea grupelor de mase se face pe baze statistice. Statistica se face funcie de tipul navei, de rapoartele intre dimensiuni(L/B, B/d) i coeficientul bloc (CB), lund n considerare nave apropiate. Pentru tipuri de nave, lungimi i clase exista urmtorii coeficieni statisticia) Coeficientul de utilizare al deplasamentului WTUCla CWL 68/84abProiect la Arhitectur Naval Pentru acest tip de nava:CU=(0,7 0,75). Vom adopta CU=0,7=> WT6236,01 tb) Coeficientul de pondere al rezervelor WTrezrPC. Acesta depinde de autonomie i de viteza. Considernd o autonomie A=8 10.000 mile marine i o viteza V= 14.5 knts adoptam Cr=0.1.0 + WT = 8908,586 trez U WTP P+ 0 1781,717 trezP890,8586 tUP6236,01 t10.2 Calculul diferitelor situaii de ncrcare ale navei1. 100%UP, 100%rezPMasa: 8908,586 tm 5,005 uPz;m 2,43 rPz;m 4,881 Gz;m 3,765 r; m 2,273 h;2. 100%UP, 10%rezPMasa: 8106,813 tm 5,005 uPz;m 2,43 rPz;m 5,123 Gz;m 3,994 r; m 2,260 h; 3. 0%UP, 100%rezPMasa: 2672,576 tm 0 uPz;m 2,43 rPz;m 4,59 Gz;m 9,903 r; m 8,701 h;4. 0%UP, 10%rezPMasa: 1870,803 tm 0 uPz;m 2,43 rPz;m 5,516 Gz; m 13,652 r; m 11,525 h11. Calculul stabilitii la unghiuri mari de inclinarePentru a calcula diagrama de stabilitate vom utiliza metoda izocarenelor i integrarea Cebev.11.1Relaii de bazAria plutirii( )+ LWdx b a A Momentul de inerie n raport cu axa x( )dx b a ILx+ 3 33111.2 Metoda numeric de calcul: metoda Cebev 69/84Proiect la Arhitectur Naval ( )+ ii i Wb anLA( )+ ii i xb anLI2 2unde: n numrul de staii Cebev.11.3 Calculul efectivPentru calculul efectiv vom folosi planul de forme i voma alege plutirea de calcul ca fiind plutirea de plin ncrcare (CWL).Vom alege 7 staii Cebev. Deci, n=7.Pe baza coeficienilor ik, luai din ndrumarul de proiectare, vomcalcula absiseleix:2CWLi iLk x m 114,9 CWLLki xi0,3239 18,60,5297 30,40,8839 50,8Poziionmix pe orizontalul i longitudinalul planului de forme. Vom extrage semilimi i nlimi din planul de forme.0 1 2 3 4 5 6-50,80,1910,3890,4470,5310,6830,817 1,069-30,43,4904,8195,4806,0596,6097,132 7,619-18,66,0597,4058,0768,4658,5838,600 8,6000,07,4808,5108,6008,6008,6008,600 8,60018,66,4387,8158,2298,3618,4168,456 8,48230,44,0155,7806,3606,6876,8356,964 7,05150,80,2161,9092,2232,2682,0871,743 1,558 70/84Proiect la Arhitectur Naval 7 8 9 10 11 12 PD1,4742,3073,4244,8615,6876,163 6,9178,0328,2918,3938,5928,6008,600 8,6008,6008,6008,6008,6008,6008,600 8,6008,6008,6008,6008,6008,6008,600 8,6008,5098,5368,5618,5858,6008,600 8,6007,1237,2027,2767,3487,4397,565 7,8961,4891,5121,5991,7481,8972,105 3,201Se construiete un caroiaj de tipul transversalului planului de forme.Se deseneaz cuplele Cebev conform tabelelor de mai sus.Observaii: 1. Cuplele se vor desena n ambele borduri i cu curbura transversal a punii.2. Dac o anumit cupl intersecteaz zona cu suprastructuri etane, seciunea suprastructurii se poziioneaz pe cupl.3. n cazul n care marfa de pe punte poate fi considerat etan se include n transversal.Construcie sistem de plutiri nclinate: (0) 1. Trasare CWL W02. Extragerei ib a , pe0W3. Calcul caracteristici la0W:( )+ LWdx b a A; ( ) L Wdx b aA2 221 1; ( )+ Lxdx b a I3 331; W x F xA I I2 ; VIrF x3m 8639,5 CWLV4. Verificri:Se verific n raport cu rezultatele calculului de carene drepte. Se verific WA i r.Eroarea laWA < 2%Eroarea la r < 4 cm(10) 1. Trasare 10W prin0F cu (=10o)2. Extragerei ib a , pe 10W3. Calcul caracteristici la 10W:WA, ,xI, F xI , r, 71/84W10W'10W'20W0F10eProiect la Arhitectur Naval 4. Determinare10W (2 )5. Poziionare10F........... /2(90) 1. Trasare 90W prin 80F cu (=90o)2. Extragere i ib a , pe 90W3. Calcul caracteristici la 90W:WA, ,xI, F xI , r, 4. Determinare90W (2 )5. Poziionare90F0 a b a2 b2 a3 b3-3 4,861 4,861 23,626 23,626 114,835 114,835-2 8,592 8,592 73,830 73,830 634,380 634,380-1 8,600 8,600 73,960 73,960 636,056 636,0560 8,600 8,600 73,960 73,960 636,056 636,0561 8,585 8,585 73,700 73,700 632,705 632,7052 7,348 7,348 53,986 53,986 396,662 396,6623 1,748 1,748 3,056 3,056 5,341 5,341 48,33348,333376,117376,1173056,035 3056,03510 a b a2 b2 a3 b3-3 3,534 6,105 12,489 37,271 227,540 44,137-2 8,357 8,733 69,839 76,265 666,025 583,648-1 8,733 8,733 76,265 76,265 666,025 666,0250 8,733 8,733 76,265 76,265 666,025 666,0251 8,658 8,733 74,961 76,265 666,025 649,0122 7,314 7,696 53,495 59,228 455,822 391,2593 1,702 1,848 2,897 3,415 6,311 4,930 72/84Proiect la Arhitectur Naval 47,03150,581366,212404,9763353,772 3005,03620 a b a2 b2 a3 b3-3 2,764 7,564 7,640 57,214 432,767 21,116-2 7,789 6,090 60,669 37,088 225,867 472,547-1 8,942 5,466 79,959 29,877 163,309 714,9970 8,942 5,560 79,959 30,914 171,880 714,9971 8,796 6,107 77,370 37,295 227,763 680,5432 7,297 7,395 53,246 54,686 404,403 388,5383 1,511 2,258 2,283 5,099 11,513 3,450 46,04140,440361,126252,1731637,501 2996,18730 a b a2 b2 a3 b3-3 1,958 6,003 3,834 36,036216,324 7,507-2 6,932 4,848 48,053 23,503113,943 333,101-1 8,848 4,270 78,287 18,233 77,854 692,6840 9,090 4,296 82,628 18,456 79,285 751,0891 8,794 4,866 77,334 23,678115,217 680,0792 7,070 5,799 49,985 33,628195,011 353,3933 0,989 3,344 0,978 11,182 37,394 0,967 43,68133,426341,099164,716835,029 2818,821 73/84Proiect la Arhitectur Naval 40 a b a2 b2 a3 b3-3 0,972 5,520 0,945 30,470168,197 0,918-2 5,919 4,582 35,035 20,995 96,198 207,370-1 7,797 4,108 60,793 16,876 69,325 474,0050 8,508 4,081 72,386 16,655 67,967 615,8611 8,061 4,597 64,980 21,132 97,146 523,8022 6,519 5,340 42,497 28,516152,273 277,0403 0,083 5,782 0,007 33,432193,301 0,001 37,85934,010276,643168,075844,407 2098,99650 a b a2 b2 a3 b3-3 0,394 5,155 0,155 26,574136,989 0,061-2 5,403 4,351 29,192 18,931 82,370 157,727-1 6,812 3,994 46,403 15,952 63,712 316,1000 6,841 3,904 46,799 15,241 59,502 320,1541 6,841 4,364 46,799 19,044 83,110 320,1542 6,076 4,996 36,918 24,960124,700 224,3123 -0,540 6,345 0,292 40,259255,444 -0,157 31,82733,109206,559160,962805,827 1338,35060 a b a2 b2 a3 b3-3 0,157 4,783 0,025 22,877109,421 0,004-2 5,300 4,064 28,090 16,516 67,121 148,877-1 5,870 3,744 34,457 14,018 52,482 202,2620 5,870 3,662 34,457 13,410 49,108 202,2621 5,870 4,076 34,457 16,614 67,718 202,2622 5,721 4,639 32,730 21,520 99,833 187,2473 -0,913 5,915 0,834 34,987206,949 -0,761 27,87530,883165,049139,942652,632 942,153 74/84Proiect la Arhitectur Naval 70 a b a2 b2 a3 b3-3 0,027 4,526 0,001 20,485 0,000 92,714-2 5,233 3,860 27,384 14,900143,302 57,512-1 5,310 3,566 28,196 12,716149,721 45,3470 5,310 3,491 28,196 12,187149,721 42,5451 5,310 7,674 28,196 58,890149,721 451,9242 5,310 4,393 28,196 19,298149,721 84,7783 -1,300 5,587 1,690 31,215 -2,197 174,396 25,20033,097141,859169,691739,990 949,216 75/84Proiect la Arhitectur Naval 80 a b a2 b2 a3 b3-3 -0,123 4,444 0,015 19,749 -0,002 87,765-2 4,946 3,808 24,463 14,501120,994 55,219-1 4,946 3,533 24,463 12,482120,994 44,0990 4,946 3,462 24,463 11,985120,994 41,4941 4,946 3,816 24,463 14,562120,994 55,5682 4,946 4,318 24,463 18,645120,994 80,5103 -2,014 5,434 4,056 29,528 -8,169 160,457 22,59328,815126,386121,453596,797 525,11290 a b a2 b2 a3 b3-3 -0,164 4,381 0,027 19,193 -0,004 84,085-2 4,861 3,756 23,629 14,108114,862 52,988-1 4,861 3,495 23,629 12,215114,862 42,6920 4,861 3,427 23,629 11,744114,862 40,2481 4,861 3,763 23,629 14,160114,862 53,2852 4,861 4,259 23,629 18,139114,862 77,2543 -3,067 5,306 9,406 28,154 -28,850 149,383 21,07428,387127,580117,713545,457 499,935Centralizatorul sistemului de plutiri nclinate:AW /2 Ix IxF r 01586,684 0,000 0,00033441,02733441,0273,871 0,000101602,196-0,201-0,10034791,00734726,5964,020 0,018201419,493 0,564 0,28225352,34224901,5302,882 0,05330 1265,62 0,912 0,456 19991,34 18937,91 2,19 0,161 76/84Proiect la Arhitectur Naval 9 1 8 2401179,653 0,562 0,28116104,26615732,2691,821 0,077501065,855 0,236 0,11811731,45511672,1691,351 0,02760 964,450 0,130 0,065 8725,566 8709,3021,008 0,01370 956,883-0,144-0,072 9242,168 9222,3381,067 0,01480 843,807 0,026 0,013 6138,311 6137,7620,710 0,00290 811,849 0,051 0,026 5719,659 5717,5450,662 0,005 Pe baza acestui centralizator vomtrasa diagrama razei metacentrice i vom calcula braul stabilitii.11.4 Calculul braului stabilitii( ) ( ) sin sin cos0 0 B G B B B sz z z z y l + ,unde: d r yB0cos; ( ) d r z zB B 00sin;Gz dat; 0 Bz din diagrama de carene drepte la CWL 77/84Proiect la Arhitectur Naval (rad) r sin cos r cos r cos Y br sin r sin Z b- Zbo lf lg ls00,000 3,8710,0001,0003,871 0,000 0,0000,000 0,000 0,000 0,0000,0000,000100,175 4,0200,1740,9853,958 7,829 0,6830,698 0,698 0,061 0,6830,2810,403200,349 2,8820,3420,9402,708 14,496 1,2650,986 2,382 0,208 1,2600,5530,707300,524 2,1920,5000,8661,898 19,103 1,6671,096 4,464 0,390 1,6380,8090,830400,698 1,8210,6430,7661,395 22,396 1,9541,171 6,730 0,587 1,8751,0390,835500,873 1,3510,7660,6430,868 24,660 2,1521,035 8,936 0,780 1,9811,2390,742601,047 1,0080,8660,5000,504 26,032 2,2720,873 10,844 0,946 1,9551,4000,555701,222 1,0670,9400,3420,365 26,901 2,3481,003 12,720 1,110 1,8461,5190,326801,396 0,7100,9850,1740,123 27,390 2,3900,700 14,422 1,259 1,6551,5920,062901,571 0,6621,0000,0000,000 27,513 2,4010,662 15,784 1,377 1,3771,617-0,240 78/84Proiect la Arhitectur Naval 12. Calculul criteriilor de stabilitate IMO in situaia de plina ncrcareI.Aria de sub curba braului de ndreptare GZ nu trebuie sa fie mai mica dect 0.055 metri radiani pana la =30o unghi de inclinare si nu mai mic de 0.03 metri radiani la =40o unghi de inclinare sau unghiul de inclinare fdaca acesta este mai mic de 40o. De asemenea aria de sub curba braului de ndreptare intre unghiurile de inclinare 30o si 40o sau intre 30o si fdac acesta este mai mic dect 40o, nu trebuie sa fie mai mica dect 0.03 metri radianiA30o = 0,272m rad A35,525 o = 0,353m rad A30o-35,525 o = 0,081m radII.Braul de redresare GZ trebuie sa fie cel puin egal cu 0.2 metri la un unghi de inclinare mai mare sau egal cu 30o.GZ = 0,845mIII. Braul maxim de ndreptare trebuie sa apar de preferina la un unghi de inclinare de peste 30o dar nu mai puin de 25o.omax35,525 IV. Razametacentrica iniiala GMo nu trebuie sa fie mai mica de 0,15 metri.h= 0,687mCriteriul de vnt puternic si nclinri (Criterii de vreme)Criterii recomandate pentru vreme V. Abilitatea unei nave de a rezista efectelor combinate ale vntului si nclinrii trebuie demonstrate pentru fiecare din condiiile standard de ncrcare considerate urmtoarele:1. nava este supusa unei presiuni constante a vntului care acioneaz perpendicular pe planul diametral navei rezultnd un bra de inclinarepentru vnt constant lw1.2. din unghiul de echilibru rezultat (o) se presupune ca nava se inclina sub aciunea valurilor cu unghiul de inclinare (1) in vnt. Efectul vntului constant se va considera cu atenie astfel nct sa nu rezulte unghiuri de inclinare exagerate.3. nava este supusa unei rafale de vnt de unde rezulta un bra de inclinare al rafalei de vnt lw2.4. n aceste circumstane aria b trebuie sa fie egal sau mai mare cu aria a. o este unghiul de inclinare sub aciunea unui vnt constant 1 este unghiul de inclinare in vnt sub aciunea valurilor 2 este unghiul minim dintreunghiul fde inundare si 50o .VI. Braele de inclinare ale vntului (lw1 si lw2) sunt valori constante la toate unghiurile de inclinare si vor fi calculate dup cum urmeaz: 79/84Proiect la Arhitectur Naval ) ( 5 , 1) (10001 21m l lmgPAZlw wwunde P=504 NmA=aria proiectata a poriunii navei plus ncrctura de pe punte de deasupra liniei de plutire .Z=distanta verticala de la centrul lui A pana la centrul ariei laterale imersate sau aproximativ pana la un punct care se afla la jumtatea pescajului. deplasamentul navei (t) t 8908,586 g=9.81 m/s2m 074 , 30vz 80/84Proiect la Arhitectur Naval Denumirea Arii [mm] k Arii efective[m] Zc[mm](chila) Z Ms Lw1 lw2Corp nava345494394,03 1 345,494 7777 7,77392685,8479 0,0155 0,0232duneta 20624317,82 1 20,624 10617 10,6139 218,9050 0,0013 0,0019parapet duneta 8401225,68 1 8,401 12267 12,2639 103,0320 0,0006 0,0009suprastructura E1 30314359,61 1 30,314 10347 10,3439 313,5695 0,0018 0,0027suprastructura E2 26219637,66 1 26,220 12743 12,7399 334,0362 0,0019 0,0029suprastructura E3 11842513,59 1 11,843 14898 14,8949 176,3934 0,0010 0,0015suprastructura E4 12700953,16 1 12,701 13664 13,6609 173,5068 0,0010 0,0015catarg pupa 1487472,38 1 1,487 20172 20,1689 30,0007 0,0002 0,0003cos fum 10322036,38 1 10,322 16846 16,8429 173,8533 0,0010 0,0015capac magazie pupa 16101149,73 1 16,101 9361 9,3579 150,6734 0,0009 0,0013capac magazie centrala 23132953,19 1 23,133 9202 9,1989 212,7983 0,0012 0,0018capac magazie prova 16114644,64 1 16,115 9809 9,8059 158,0190 0,0009 0,0014Macara pupa 4444866,10 1 4,445 15880 15,8769 70,5708 0,0004 0,0006Macara prova 4444866,10 1 4,445 16085 16,0819 71,4820 0,0004 0,0006teuga 24496651,99 1 24,497 11335 11,3319 277,5942 0,0016 0,0024parapet teuga 25166409,31 1 25,166 13237 13,2339 333,0504 0,0019 0,0029catarg prova 584356,38 1 0,584 16392 16,3889 9,5770 0,0001 0,0001balustrada 7312971,08 1 7,313 9676 9,6729 70,7378 0,0004 0,0006Suma 589205778,8 589,2057788 9,44265563,6477 0,0321 0,0481 0,032085765 0,048128647desen1,283430593 1,92514589 81/84Proiect la Arhitectur Naval 82/84Proiect la Arhitectur Naval VII. Unghiul de inclinare 1 va fi calculat astfel:1=109k X1X2rs (grade)unde :X1 X2 factori luati din tabelele de mai jos. k=1r=0,73t0,6 OG/dOG= distanta intre centrul de greutate si linia de plutire d= pescajul1= 24,71X1=0,95; X2=1;r= 0,599;OG=- -1,395 md=6,4 m.s= 0,095Valori ale factorului sValori ale factorului X1Valori ale factorului X2Perioada rotaiei ) (2sGMCBT Unde C=0,373+0,023(b/d)-0,043(L/100)Simbolurile din tabelele de deasupra si formula pentru perioada de rotaie sunt definite dup cum urmeaz:L=114,9 lungimea navei la linia de plutire (m)B=17,2 limea navei (m)d=6,4 pescajul navei (m)CB=0,7 coeficientul blockGM=3,045m nlimea metacentrica corectata cu efectul de suprafee libere.T= 15,951sC= 0,331 83/84T S20 0,035B/d X13,5 0,8Cb X20,7 1Proiect la Arhitectur Naval 13. Bibliografie1 - ndrumar de proiectare pentru teoria navei Ion Bidoae, Nicolae Srbu, Ionel Chiric, Ovidiu Iona Univ.Galai, 19862 Tabele FormData .....3 Teoria navei; Statica navei Ion Bidoae Univ.Galai 19854 Tehnici de calcul n construcii navale Partea I Metode numerice generaleOvidiu Iona, Leonard Domnioru, Ionel Gavrilescu, Dumitru DragomirEditura EVRIKA Brila, 19995 Lucrri de tehnici de calcul numeric n ingineria asistat de calculatorDumitru Dragomir, Ovidiu Iona, Leonard Domnioru, Ionel GavrilescuEditura EVRIKA Brila, 1999 84/84