Práctica Excel Mef 002

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    INTRODUCCIN DE DATOS PRTICO Unidades

    Altura Pilar 1 5 mAltura Pilar 2 6 m

    Luz Jcena 1 m!n"ul# al$a %&&66'6525 rad

    NUDOS CI(

    Car"a re)arti*a CP +2 KN/ml

    ,ient# 1 nu*#2 2 KN,ient# 1 nu*#- KN

    1

    2

    -

    .

    5

    6/

    '

    &

    1

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    2 . 6 ' 1 12 1.

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    0ARRAS

    1 PILAR 2 12 6

    2 J!CENA 2 612 /

    - PILAR 12 /12 1

    CAR3AS L4nea #riz#ntal 7

    1 2 &2 12 &

    L4nea ,ertical iz7 7

    1 2 /2 2 &L4nea ,ertical *c8a 7

    1 12 /2 12 &

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    NODOS

    1 2 12 2 6

    - 12 /. 12 1

    ,IENTO NODO 2

    1 62 2 6

    ,IENTO NODO -

    1 12 /2 12 /

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    0arra N#*# i N#*# 9 (aterial E :

    1 1 2 #r;i"

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    8 A I L#n"itu* !n"ul# Ra*

    - & 6/5 5 & 1%5//&6-26'6 1' 5. 1.&%'/6 5%/15&-1-/5 %&&66'6525

    - & 6/5 6 +& +1%5//&6-26'

    mm mm mm4 mm =

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    ,ECTOR EN COORD LOCALES (ATRI> RO

    NUDO 22? &&5%-/1&21 %&&5-/2,2? +11.&%-/&-.1.1& %&&5-/(2? +16666666%666666/

    NUDO --? +&&5%-/1&21 %&&5-/2,-? +&&5%-/1&2&&& %&&5-/

    (-? 16666666%666666/

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    IN,

    IENTO

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    NUDO -

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    En e@ta )e@taa *eBni;#@ l#@ ect#re@ *e $uerza@ n#*ale@ e7*e en@a;:la9e "eneral *e la e@tructura% P#r e@te ;#ti#G la@"l#:ale@% Para c#nertirla@G ;ulti)lica;#@ *ic8# ect#r )#r la

    $?K

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    ACIN 0ARRA 2 ,ECTOR COORD 3LO0ALES

    +%&&5. 2%&&5-/2 +1

    1 +16666666%666666/

    +%&&5. 1%1-6'6'-//2E+1-%&&5-/2 +1

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    uialente@ SO0RE NUDOS7ue *e@)uF@ utilizare;#@ en la ;atrizuerza@ actuante@ tienen 7ue e@tar eH)re@a*a@ en c##r*ena*a@;atriz *e r#taci

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    La@ )e@taa@ 0ARRA n#@ @iren )ara *eBnir la@ ;atrice@ *e ri"i*e

    A & I 6/5 E

    (ATRI> RI3IDE> 0ARRA EJES LOCALES[K'] D1 *1 "ir#1 D2

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    *e ca*a :arraG en e9e@ LOCALES M e9e@ 3LO0ALES

    2/- ngulo 1%5//&6-- L 5

    (ATRI> DE ROTACIN*2 "ir#2 [T] D1 *1

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    "ir#1 D2 *2 "ir#2 [T]t

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    D1 *1 "ir#1 D2 *2 "ir#2

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    [T]*[K'] D1 *1 "ir#1 D2

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    1 .&1. 1%'-/E+1- 2%/&2E+1 +.&1.

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    2 +.&1. +1%'.E+1- +2%/&E+1 .&1.

    (2 ..226 /-/1

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    (ATRI> DE RI3IDE> 0ARRA*2 "ir#2 [K] D1 *1

    1/6&%. +..226 N1 1/6&%. 2%&&&.E+11

    +1%'.E+1- 2%/&2E+1 1 2%&&&.E+11 .&1.

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    +1/6&%. ..226 N2 +1/6&%. +2%&&&E+11

    1%'-/E+1- +2%/&E+1 2 +2%&&&E+11 +.&1.

    +..226 1%./.E1 (2 +..226 2%/&2E+1

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    EJES 3LO0ALES"ir#1 D2 *2 "ir#2

    +..226 +1/6&%. +2%&&&E+11 +..226

    2%/&1/E+1 +2%&&&E+11 +.&1. 2%/&1/E+1

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    /-/1 ..226 +2%/&E+1 1./.2

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    La@ )e@taa@ 0ARRA n#@ @iren )ara *eBnir la@ ;atrice@ *e ri"i*e

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    ,-? +1/.2%'-22/ +'/5/62-%/6

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    *e ca*a :arraG en e9e@ LOCALES M e9e@ 3LO0ALES

    2/- n"ul# %&&66'65 L 1.&%'/56

    *- "ir#- [T] D2 *2

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    "ir#2 D- *- "ir#- [T]t

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    D2 *2 "ir#2 D- *- "ir#-

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    [T]*[K'] D2 *2 "ir#2 D-

    N1 .'65-.%65- +1/-%.1'2&2 +'/1.16%1-. +.'65-.%65-

    1 .'65-%.65- 1/-.%1'2&2 '/1.161%-. +.'65-%.65-

    (1 '/5/62-%/6 5%'6'E1

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    (2 '/5/62-%/6 2%&-.E1

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    (ATRI> DE RI3IDE> 0ARRA

    *- "ir#- [K] D2 *2

    1/-%.1'2&2 +'/1.16%1-. N1 .'.1-/%--- .'2-&%..&'

    +1/-.%1'2&2 '/1.161%-. 1 .'2-&%..&' 6566%///2.'

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    +'/5/62-%/6 5%'6'E1 (2 +'/1.16%1-. '/1.161%-.1

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    EJES 3LO0ALES

    "ir#2 D- *- "ir#-

    +'/1.16%1-.1 +.'.1-/%-- +.'2-&%..&' +'/1.16%1-.1

    '/1.161%-.1. +.'2-&%..&' +6566%///25 '/1.161%-.1.

    5'6/5-5--2 '/1.16%1-.1 +'/1.161%-. 2&--/6/6516

    '/1.16%1-.1. .'.1-/%--- .'2-&%..&' '/1.16%1-.1.

    +'/1.161%-.1 .'2-&%..&' 6566%///2.' +'/1.161%-.1

    2&--/6/6516 '/1.16%1-.1 +'/1.161%-. 5'6/5-5--2

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    La@ )e@taa@ 0ARRA n#@ @iren )ara *eBnir la@ ;atrice@ *e ri"i*e

    A & I 6/5 E

    (ATRI> RI3IDE> 0ARRA EJES LOCALES

    [K'] D- *- "ir#- D.

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    *e ca*a :arraG en e9e@ LOCALES M e9e@ 3LO0ALES

    2/- n"ul# +1%5//&6-- L 6

    *. "ir#. [T] D- *-

    N1 % 1%

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    N2 % %

    12-%/5 +-/125 2 % %

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    "ir#- D. *. "ir#. [T]t

    % % % % N1

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    D- *- "ir#- D. *. "ir#.

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    [T]*[K'] D- *- "ir#- D.

    N1 2%5'5E+11 12-%/5 -/125 +2%5'E+11

    1 +.&5 6%2/12E+1. 1%''1.E+1 .&5

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    2 .&5 +6%2/1E+1. +1%''1E+1 +.&5

    (2 -/125 61.25

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    (ATRI> DE RI3IDE> 0ARRA

    *. "ir#. [K] D- *-

    +12-%/5 -/125 N1 12-%/5 +2%52E+11

    +6%2/1E+1. 1%''1.E+1 1 +2%52E+11 .&5

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    +-/125 1%22&E1 (2 -/125 1%''1.E+1

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    EJES 3LO0ALES

    "ir#- D. *. "ir#.

    -/125 +12-%/5 2%522E+11 -/125

    1%''1-/E+1 2%522E+11 +.&5 1%''1-/E+1

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    +-/125 12-%/5 +2%52E+11 +-/125

    +1%''1-/E+1 +2%52E+11 .&5 +1%''1-/E+1

    61.25 +-/125 +1%''1E+1 122'5

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    (ATRI> DE RI3IDE> DE LA ESTRUCTURA EN COO

    1 Q1 1 2

    1 1/6&%. 2%&&&-5E+11 +..226 +1/6&%.

    ,1 -%E+11 .&1. 2%/1E+1 +-%E+11

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    - 1%1-6'/E+1- +.'.1-/%-

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    DENADAS 3LO0ALES

    Q2 2 - Q- - .

    +2%&&&-5E+11 +..226

    +.&1. 2%/&1/1E+1

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    ESULTANTE

    .'2-&%..&'2 -5511'-%'65& +.'.1-/%- +.'2-&%.5 +'/1.16%1-.1.

    .&/&66%///25 '/1.161%-.1. +.'2-&%.5 +6566%/// '/1.161%-.1.

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    +.'2-&%..&'2 '/1.16%1-.1. .'5161%' .'2-&%.5 21&&'--%'65&

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    K H

    ESULTANTE

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    +1%'5./E+1 +/%2-2'E+12 -%E+& +5%E+1 1%/2.'-E+11 -

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    Q. .

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    (O,I(IENTOS EJES 3LO0ALES

    2

    Q2

    2

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    -

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    0ARRA 1

    TKt

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    % % % % +1%

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    COORDENADAS 3LO0ALES COORDENADAS LOCALES

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    0ARRA 1

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    (O,I(IENTOS (ULTIPLICACIN REACCIONES EN 0ARRAS

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    . +1/.&-%6&' N.?

    +-/125 Q. +2565%5&5'2 ,.?

    1%22&E1 . 6.26./%2- (.?

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    ESUER>OS

    EJES LOCALES

    &/1/%.1'./--5

    155%5/112&-

    2125'6-%'1/2.

    +&/1/%.1'./--5

    +155%5/112&

    +1-.'-2'%/6/&

    ESUER>OS

    EJES LOCALES

    2'2%25'-&'22&

    &.'5%65''61/--

    1-.'-2'%/6/'&

    +'12%1'.1/'&

    1.15%'.&.2./

    +61'6-/%15&&

    ESUER>OS

    EJES LOCALES

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    1/.&-%6&'/16

    2565%5&5'16/61

    '&6/52/%6/6.2

    +1/.&-%6&'/2

    +2565%5&5'16/6

    6.26./%22&&2-

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    ESCALA DE REPRESENTACIN %1

    MOMENTOS PILAR IZQ. JCENA PILAR DER.

    Kn Knm Kn

    +2%126 +1%-.' +6%.26L' +2%2& &%115 +.%52L. +1%&-1 16%.22 +2%5/'-L' +1%'-. 2%5/2 +%65-L2 +1%/-/ 21%56/ 1%2/15L' +1%6. 1&%.5 -%1&5

    -L. +1%5.- 1.%'6 5%11&/L' +1%..6 5%612 /%.-

    L +1%-.' +6%1& '%&6'

    Tra;#@ Re@ulta*# 0arra 0arra Recta entre*e :arra ;#;ent#@ c##r*ena*a c##r*ena*a ;#;ent#@

    a:@#luta "rBc# eHter;#@

    Knm m m +1%-.' 2% +1%-.'

    L' 1%256 -%25 +1%&-2L. 2%512 .%5 +2%516-L' -%/6& 5%/5 +-%1L2 5%25 /% +-%6'-5L' 6%2'1 '%25 +.%26/-L. /%5-/ &%5 +.%'51/L' '%/&. 1%/5 +5%.-5

    L +6%1& 1%5 12% +6%1&

    0ARRA 1Tra;#@ Re@ulta*# Recta entre Recta entre L4nea*e :arra ;#;ent#@ ;#;ent#@ ;#;ent#@ *e cierre

    eHter;#@ eHter;#@ in$eri#r

    Knm Knm gr!" inici# +2%126 +2%126 1%/& H

    L' +2%2& 2%L. +1%&-1 M

    +2

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    -L' +1%'-. 1%L2 +1%/-/ Bnal5L' +1%6. H-L. +1%5.- 1%/'//L' +1%..6 M

    L +1%-.' +1%-.' 1%'/ 1%

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    0ARRA 2(#;ent# (#;ent# 0arra (#;ent# L4nea L4nea)ar:#la al#re@ c##r*ena*a c##r*ena*a *e cierre *e cierrei@#@ttica "rBc# "rBc# iz7uier*a *erec8a

    #Nm m inici# inici#% +1%-.' 6% 6%1-5 H H

    11%./ &%115 6%125 5%21. 2% 12%1'%&-' 16%.22 6%25 .%6' M M2-%6/2 2%5/2 6%-/5 .%-1' 6% /%25%25 21%56/ 6%5 .%-.- Bnal Bnal2-%6/2 1&%.5 6%625 .%6'5 H H1'%&-' 1.%'6 6%/5 5%-.1 2% 12%11%./ 5%612 6%'/5 6%-1. M M% +6%1& /% /%62 6%1-5 /%62

    0ARRA -L4nea Re@ulta*# Recta entre Recta entre L4nea L4nea

    *e cierre ;#;ent#@ ;#;ent#@ ;#;ent#@ *e cierre *e cierre@u)eri#r eHter;#@ eHter;#@ in$eri#r @u)eri#r

    inici# Knm Knm gr!" inici# inici#H +6%.26 +6%.26 11%-6 H H

    2% +.%52 12% 12%M +2%5/' M M

    2 . 6 ' 1 12 1.

    1

    2

    -

    .

    5

    6

    /

    '

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    6% +%65- 1% /%Bnal 1%2/1 Bnal Bnal

    H -%1&5 H H1%'65 5%11& 11%-5/ 12%'&/

    M /%.- M M6% '%&6' '%&6' 12%& 1% /%

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    AILES

    ESCALA DE REPRESENTACIN %1

    MOMENTOS PILAR IZQ. JCENA PILAR DER.

    Kn Kn Kn

    &%/1/ 2%'2L' &%/1/L. &%/1/-L' &%/1/L2 &%/1/

    5L' &%/1/-L. &%/1//L' &%/1/

    L &%/1/

    0ARRA 1 0ARRA 2

    Recta *e aHil 2%&/ 1% Recta *e aHil

    2%&/ 6%Cierre N#*# 1 2% 1% Cierre N#*# 2

    2%&/ 1%Cierre N#*# 2 2% 6% Cierre N#*# -

    2%&/ 6%

    +2

    1

    2

    -

    .

    5

    6

    /

    '

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    0ARRA -

    2% 6%2' Recta *e aHil

    Cierre N#*# -

    Cierre N#*# .

    . 6 ' 1 12 1.

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