ejemplo de muro de corte

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Page 1: Ejemplo de Muro de Corte

ANALISIS DE MUROS DE CORTE

10 TON 0.5

0.3 0.31.5 1.5

MATRIZ DE RIGIDEZ PARA PLACA

ELEMENTO 01

B= 30 cm Inercia = 8437500 cm4h= 150 cm As = 3750 cm2H= 425 cm E = 217370.6512 kG/CM2

5.00 mt.

1.50mt.1.50 mt.

0.50mt

4.25mt

0.30

1

7

5

2

68 11 9

10

4 5

3

01 02

030 75 0.75

H 425 cm E 217370.6512 kG/CM2AREA= 4500 cm2 G = 86948.26048

F'c= 210 Kg/cm2 O = 0.373702422

matriz local

6 7 8 5 1 26 208706.7447 0 -44350183.24 -208706.7447 0 -44350183.247 0 2301571.601 0 0 -2301571.601 08 -44350183.2 0 13739860690 44350183.24 0 51089671875 -208706.745 0 44350183.24 208706.7447 0 44350183.241 0 -2301571.601 0 0 2301571.601 02 -44350183.2 0 5108967187 44350183.24 0 13739860690

ELEMENTO 02

B= 30 cm Inercia = 8437500 cm4h= 150 cm As = 3750 cm2H= 425 cm E = 217370.6512 kG/CM2

AREA= 4500 cm2 G = 86948.26048F'c= 210 Kg/cm2 O = 0.373702422

hEI

hEI

hEI

hEI

hEA

hEA

hEI

hEI

hEI

hEI

hEI

hEA

hEI

kplaca

)1()4(0

)1(6

)1()2(0

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2

3

Page 2: Ejemplo de Muro de Corte

matriz local

9 10 11 5 3 49 208706.7447 0 -44350183.24 -208706.7447 0 -44350183.24

10 0 2301571.601 0 0 -2301571.601 011 -44350183.2 0 13739860690 44350183.24 0 51089671875 -208706.745 0 44350183.24 208706.7447 0 44350183.243 0 -2301571.601 0 0 2301571.601 04 -44350183.2 0 5108967187 44350183.24 0 13739860690

MATRIZ DE RIGIDEZ PARA LA VIGA

DATOS:B (cm) = 30 E (Kg/cm2) = 217370.6512h (cm) = 50 I (cm4) = 312500L (cm) = 500 a (cm) = 75

F'c (Kg/cm2) = 210 b (cm) = 75

MATRIZ LOCAL:1 2 3 4

1 6521.119536 2119363.849 -6521.119536 2119363.8492 2119363.849 824649908 -2119363.849 5529365943 -6521.11954 -2119363.849 6521.119536 -2119363.8494 2119363.849 552936594 -2119363.849 824649908

MATRIZ GLOBAL ENSAMBLADA:

hEI

hEI

hEI

hEI

hEA

hEA

hEI

hEI

hEI

hEI

hEI

hEA

hEI

kplaca

)1()4(0

)1(6

)1()2(0

)1(6

000

)1(12

)1(60

)1(12

)1()4(0

)1(6

0

)1(12

22

322

2

3

63533121

52423121

SSSSSSSS

SSSSSSSS

Kviga

232

32

232

32

32

3

12)2(646

12)(625

12)2(644

1263

1262

121

bLEIb

LEI

LEIS

abLEIba

LEI

LEIS

aLEIa

LEI

LEIS

bLEI

LEIS

aLEI

LEIS

LEIS

1 2 3 4 5 6 7 8 9 10 111 2308092.72 2119363.849 -6521.119536 2119363.849 0 0 -2301571.601 02 2119363.849 14564510598 -2119363.849 552936594 44350183.24 -44350183.24 0 51089671873 -6521.11954 -2119363.849 2308092.72 -2119363.849 0 0 -2301571.601 04 2119363.849 552936594 -2119363.849 14564510598 44350183.24 -44350183.24 0 51089671875 0 44350183.24 0 44350183.24 417413.4893 -208706.7447 0 44350183.24 -208706.7447 0 44350183.246 0 -44350183.24 -208706.7447 208706.7447 0 -44350183.247 -2301571.6 0 0 0 2301571.601 08 0 5108967187 44350183.24 -44350183.24 0 137398606909 0 -44350183.24 -208706.7447 208706.7447 0 -44350183.24

10 -2301571.601 0 0 0 2301571.601 011 0 5108967187 44350183.24 -44350183.24 0 13739860690

MATRIZ INVERSA DE Kff:

1 2 3 4 51 4.33557E-07 -1.61056E-10 9.29167E-10 -1.61056E-10 3.42243E-082 -1.6106E-10 1.23631E-10 1.61056E-10 5.22618E-11 -1.86886E-083 9.29167E-10 1.61056E-10 4.33557E-07 1.61056E-10 -3.42243E-084 -1.6106E-10 5.22618E-11 1.61056E-10 1.23631E-10 -1.86886E-085 3.42243E-08 -1.86886E-08 -3.42243E-08 -1.86886E-08 6.36704E-06

Page 3: Ejemplo de Muro de Corte

CALCULO DE Qf:

1 02 0

Qf = 3 04 05 10000

1 0.000342243 cm2 -0.00018689 cm

Df = 3 -0.00034224 cm klateral del portico 157058.7867 K/cm4 -0.00018689 cm 15705.87867 T/m5 0.063670427 cm

MATRIZ Krf:

0 -44350183.24 0 0 -208706.7447-2301571.6 0 0 0 0

Krf = 0 5108967187 0 0 44350183.240 0 0 -44350183.24 -208706.74470 0 -2301571.601 0 00 0 0 5108967187 44350183.24

CALCULO DE LAS REACCIONES DEL ESTADO COMPLEMENTARIO Y PRIMARIO:

-5000 6 0 6-787.697082 7 0 7

R comp = 1868998.449 8 R primario = 0 8-5000 9 0 9

787.6970815 10 0 101868998.449 11 0 11

-5000 -5 ton 6-787.697082 -0.787697082 ton 7

R Finales = 1868998.449 = 18.68998449 ton-m 8-5000 -5 ton 9

787.6970815 0.787697082 ton 101868998.449 18.68998449 ton-m 11

Page 4: Ejemplo de Muro de Corte

diagrama de corte diagrama de momento