Calculo metodo de cross

7/26/2019 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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Calculo metodo de cross

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