Calculo metodo de cross
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Transcript of Calculo metodo de cross
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MEDIDAS DE VIGA
ELEMENTO
VIGAS
COLUMNAS
COMBINACIONES
KAB=KBAKBC=KCB
KDE=KEDKEF=KFEKAD=KDAKBE=KEBKCF=KFCKDG=KGDKEH=KHE
KFI=KIF
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NUDOS
NUDO A
NUDO B
NUDO C
NUDO D
NUDO E
NUDO F
NUDO G
NUDO H
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NUDO I
MOMENTOS CARGA DISTRI(W)
KG-M KG/M
4298.00
4298.00
4298.00
4298.00
4298.00
4298.00
4298.00
4298.00
0.00
0.00
0.00
0.00
0.00
MAB
MBA
MBC
MCB
MDE
MED
MEF
MFE
MAD = MDA
MBE = MEB
MCF = MFC
MDG = MGD
MEH = MHE
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0.00
Clculo
FrmulaCOMBINACIONES INERCIAS
KAB=KBA 4.63KBC=KCB 4.63
KDE=KED 4.63
KEF=KFE 4.63
KAD=KDA 1KBE=KEB 1KCF=KFC 1KDG=KGD 1KEH=KHE 1
KFI=KIF 1
MFI = MIF
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MOMENTOS
MOMENTOS RIGIDEZ
KG-M (M
0.10
0.10
0.44
0.44
0.10
0.10
0.44
0.44
0.19
0.19
CLCULO DE MOME
F!"MULA ( (MAD(KCF/(KAD
MAB
MBA
MBC
MCB
MDE
MED
MEF
MFE
MAD = MDA
MBE = MEB
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0.19
0.19
0.19
0.19
MCF = MFC
MDG = MGD
MEH = MHE
MFI = MIF
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S Y COLUMNAS C#$%&$' ) I*)+%,
MEDIDAS (m) I*)+%, ) V,
I*)+=(1/12(30(03
03000 31200
030030
I*)+%, ) C'$&*I*)+=(1/12(30(303
6500
"ELACI!N EN"E INE"CIASINE" VIGA/INE" COLUMNA
"EL=(31200/6500
4.6296296296
Frmula d I!r"#a
I*)+= ((1/12(7(3
Clculo de Rigidez
Frmula K=I/LINERCIAS N'I()!ES * RE'I!E,
4.63 6.5 0.694.63 3.2 1.42
4.63 6.5 0.694.63 3.2 1.42
1 2.3 0.431 2.3 0.431 2.3 0.431 2.3 0.431 2.3 0.43
1 2.3 0.43
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Clculo de Factore de !itri"uci#$
Frmula Fd=Ki/Knudo
COMBINACIONES RIGIDEZ FACT$ DE DISTRIBUCION
0.69 0.61
0.43 0.39100
0.69 0.250.43 0.15
1.42 0.6100
1.42 0.55
0.43 0.23100
0.43 0.28
0.69 0.44
0.43 0.28100
0.43 0.10.69 0.23
0.43 0.1
1.42 0.48100
0.43 0.19
1.42 0.62
0.43 0.19100
0.00 0.00
0.00 0.00
FDAB
FDAD
FDBAFDBE
FDBC
FDCB
FDCF
FDDAFDDEFDDG
FDEBFDED
FDEH
FDEF
FDFC
FDFEFDFI
FDGD
FDHE
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0.00 0.00
MOMENTO DISTRIBUIDO
F!"MULA ( (:(L2/12LONGITUD (L) SIGNO MOMENTO
(M KG-M
6.50 - -16058.10
6.50 ; 16058.10
3.2 - -3583.14
3.2 ; 3583.14
6.50 - -16058.10
6.50 ; 16058.10
3.2 - -3583.14
3.2 ; 3583.14
2.30 0.00 0.00
2.30 0.00 0.00
2.30 0.00 0.00
2.30 0.00 0.00
2.30 0.00 0.00
FDIF
CLCULO DE MOMENTOS
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2.30 0.00 0.00
e Rigidez
=I/L%&LON'I()!ES *m+ RE'I!E,
6.5 0.103.2 0.44
6.5 0.10
3.2 0.44
2.3 0.192.3 0.192.3 0.192.3 0.192.3 0.19
2.3 0.19
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MOMENTO KG-M
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
-10000.00
-10000.00
NTOS
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-10000.00
-10000.00
-10000.00
-10000.00
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NUDO A
A-B A-D
FAC. DIS"IBUCION 0.61 0.39
MOMENOS FI
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D>"OMEDIO
OAL EN D
E>
MCB
MCFMDAMDE
MDGMEBMEDMEH
MEFMFCMFE
MFI
MGD
MHE
MIF
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"OMEDIOOAL EN E
F>"OMEDIO
OAL EN F
NUDO AA-B A-D
FAC. DIS"IBUCION 0.61 0.39MOMENOS FI
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"OMEDIOOAL EN D
E>"OMEDIO
OAL EN E
F>"OMEDIO
OAL EN F
C?LCULO DE MOM
MFINAL= MC"OSS I
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MOMENTOS
KG-M
MABMBAMBCMCBMDEMEDMEFMFEMADMDAMBEMEBMCFMFCMDGMGDMEHMHEMFI
MIF
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ABLA DE MOMENOS
NUDO B
B-A B-E B-C
0.25 0.15 0.616058.10 0.00 -3583.14-3319.64 -2090.14 -688.184903.82 -922.12 -146.1
-681.80 -429.28 -1414.11-180.29 -98.9 1463.55
-319.82 -201.35 -663.33
16480.35 -3541.85 -12538.0
MOMENTO TOTALES
M CROSS I M CROSS II %
KG-M KG-M .-----.
-8256.81 4839.19 0.13
8256.81 -4839.19 0.1316480.35 3258.43 0.13
-3541.85 -8415.95 0.13-12538.0 139.4 0.13
CLCULO DE MOMENTOS TOTALES
MFINAL= MC"OSS I ; (>(MC"OSSII
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-.24 655.28 0.13
.24 -655.28 0.135114.62 -383.95 0.13
-11209.28 8848.69 0.13
4094.66 -4994.52 0.13-3350.30 -805.48 0.1316000.36 623.01 0.13-2110.9 -8193.48 0.13
-10660.18 10136.38 0.13-96.23 -6096.19 0.13194.62 12801.85 0.13
-98.40 -650.69 0.13
2009.9 -559.00 0.13
-1021.05 -938.5 0.13
-35.54 -866.2 0.13
C?LCULO DE FUE"@AS DE LADEO
8256.81 5114.62 G569.524653.0 LONGIUD (
-3350.30 -3541.85 H>
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-36.09-2226.92 LONGIUD (
-96.23 .24 I>-20.0-38.1 LONGIUD (
FUE"@A DE LADEO
OAL 46530-222692-380
2405.63 KG
ABLA DE MOMENOS
NUDO BB-A B-E B-C
0.25 0.15 0.60.00 -10000.00 0.00
2500.00 1500.00 600.00300.00 100.00 380.00
-2268.00 -1428.00 -4504.00-126.5 -88.5 -1809.0
1062.18 668.58 2203.04
3258.43 -8415.95 139.4
3258.43 -8415.95 139.4
C?LCULO DE FUE"@AS DE LADEO
-4839.19 -383.95 G
FLADEO
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-4346.8-4650.19 LONGIUD (
-8415.95 -805.48 H>-8235.52-5395.32 LONGIUD (
-655.28 -6096.19 I>-643.53
-6139.6 LONGIUD (
FUE"@A DE LADEO
OAL .-465019-539532-61396
-18205.16 KG
CLCULO DE %
>= .- (F SIN LADEO. . (F CONLADEO.
>= -2405.63-18205.16
>= 0.13
ENOS FINALES
MOMENTO TOTALES
FLADEO
(>(MC"OSSII
CLCULO DE MOMENTOS TOTALES
MFINAL= MC"OSS I ; (>(MC"OSSII
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M CROSS I M CROSS II %
KG-M KG-M .-----.
0.130.130.130.130.130.130.130.130.130.130.130.130.130.130.130.130.130.130.13
0.13
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ABLA DE MOMEN
NUDO C NUDO D
C-B C-F D-A D-E
0.55 0.23 0.28 0.443583.14 0.00 0.00 -16058.10-2913.01 -850.12 401.85 5054.36-3442.9 -39.40 313.23 -1413.92
2925.3 854.46 -481.95 -55.38-505.0 321.66 -11.25 -11.52
296.56 88.64 54.56 115.48
-.24 .24 5114.62 -11209.28
MOMENTO TOTAL
KG-M
-5645.52
5645.5216906.6
-4836.21-12050.36
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82.
-82.6613.61
-1008.9
344.3-4415.5516810.91-315.54
-9342.4-888.53188.85
-950.13
996.60
-2235.51
-1164.22
4094.66 2009.9302.31
2.30
-2110.9 -1021.05
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-16.832.30
-98.40 -35.54-68.052.30
ABLA DE MOMEN
NUDO C NUDO DC-B C-F D-A D-E
0.55 0.23 0.28 0.440.00 -10000.00 -10000.00 0.00
5500.00 2300.00 600.00 8800.002800.00 1900.00 190.00 2300.00
-3619.00 -1081.00 -1190.00 -1850.00-232.00 -6.2 -809.2 -1316.5
2246.28 650.95 9.28 93.44
655.28 -655.28 -383.95 8848.69
655.282 -655.282 -383.95 8848.69
-4994.52 -559.00
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-6394.862.30
-8193.48 -938.5-8556.11
2.30
-650.69 -866.2-568.45
2.30
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MOMENTO TOTAL
KG-M
0.000.000.000.000.000.000.000.000.00
0.00
0.00
0.00
0.00
0.00
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OS ABLA DE MOMEN
NUDO E
D-G E-B E-D E-H E-F
0.28 0.1 0.23 0.1 0.480.00 0.00 16058.10 0.00 -3583.14
401.85 -1844.24 -2825.84 -1844.24 -901.80.00 -104.05 335.18 0.00 -1152.55
-481.95 -195.90 -303.4 -195.90 -633.280.00 -214.64 -358.69 0.00 1049.61
54.56 -68.44 -104.9 -68.44 -219.02
4094.66 -3350.30 16000.36 -2110.9 -10660.18
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OS ABLA DE MOMEN
NUDO ED-G E-B E-D E-H E-F
0.28 0.1 0.23 0.1 0.48-10000.00 -10000.00 0.00 -10000.00 0.00600.00 3000.00 4600.00 3000.00 9600.00
0.00 80.00 4400.00 0.00 6200.00
-1190.00 -1515.0 -2633.0 -1515.0 -496.000.00 -514.00 -93.00 0.00 -1844.0
9.28 24.03 803.1 24.03 1656.88
-4994.52 -805.48 623.01 -8193.48 10136.38
-4994.52 -805.45 623.00 -8193.45 10136.38
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OS
NUDO F NUDO G NUDO H
F-C F-E F-I G-D H-E
0.19 0.62 0.19 0.00 0.000.00 3583.14 0.00 0.00 0.00
-518.80 -234.4 -518.80 0.00 0.00-43.06 -290.59 0.00 220.93 -922.12
643.31 2099.23 643.31 0.00 0.00435.23 -316.64 0.00 -240.98 -98.9
-22.91 -54.56 -22.91 0.00 0.00
-96.23 194.62 -98.40 2009.9 -1021.05
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OS
NUDO F NUDO G NUDO HF-C F-E F-I G-D H-E
0.19 0.62 0.19 0.00 0.00-10000.00 0.00 -10000.00 -10000.00 -10000.003800.00 12400.00 3800.00 0.00 0.00110.00 4800.00 0.00 2800.00 100.00
-1130.0 -3689.00 -1130.0 0.00 0.00-40.0 -2548.00 0.00 -9.00 -88.5
624.82 2038.85 624.82 0.00 0.00
-6096.19 12801.85 -650.69 -559.00 -938.5
-6096.18 12801.85 -650.68 -559 -938.5
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NUDO I
I-F
0.000.000.00
-39.40
0.00321.66
0.00
-35.54
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NUDO II-F
0.00-10000.00
0.001900.00
0.00-6.2
0.00
-866.2
-866.2
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