ejercicio potico de 2 pisos

= 20 y𝑐𝑚altura = 50 y el módulo de elasticidad del concreto.ℎ 𝑐𝑚

I.- ESQUEMA ESTRUCTURAL

SECCION 1SECCION 2SECCION 3SECCION 4SECCION 5SECCION 6SECCION 7SECCION 8

III.- DETERMINACION DE EJES GLOBALES

IV.- RELACION ENTRE EJES GLOBALES Y EJES LOCALES

α1α2α3α4α5α6α7α8

V.- ANALISI EN C.L

V.1.- MATRIZ DE RIGIDEZ EN C.L

2.5 0 0 -2.5 0 00 0.0374659401 0.01873297 0 -0.03746594 0.01873297

K1= 0 0.01873297 2019.4709355 0 -0.01873297 977.804269-2.5 0 0 2.5 0 0

0 -0.03746594 -0.01873297 0 0.0374659401 -0.018732970 0.01873297 977.80426885 0 -0.01873297 1976.896

3.33333333 0 0 -3.33333333 0 00 0.0860719875 0.0430359937 0 -0.086071987 0.04303599

K2= 0 0.0430359937 2631.0641628 0 -0.043035994 1242.17527-3.33333333 0 0 3.33333333 0 0

0 -0.086071987 -0.043035994 0 0.0860719875 -0.043035990 0.0430359937 1242.1752739 0 -0.043035994 2533.25509

2 0 0 -2 0 00 0.0194690265 0.0097345133 0 -0.019469027 0.009734510 0.0097345133 1633.480826 0 -0.009734513 800.147493

K3= -2 0 0 2 0 00 -0.019469027 -0.009734513 0 0.0194690265 -0.009734510 0.0097345133 800.14749263 0 -0.009734513 1611.35693

3.33333333 0 0 -3.33333333 0 00 0.0860719875 0.0430359937 0 -0.086071987 0.043035990 0.0430359937 2631.0641628 0 -0.043035994 1242.17527

K4= -3.33333333 0 0 3.33333333 0 00 -0.086071987 -0.043035994 0 0.0860719875 -0.043035990 0.0430359937 1242.1752739 0 -0.043035994 2533.25509

5.2 FUERZAS DE FIJACION EN C.L. f°

0 00 0

f° 1= 0 f° 2= 00 00 00 0

6 ANALISIS EN C.GLB.6.1 MATRIZ DE RIGIDEZ

6.125742E-17 1 0 0 0-1 6.125742E-17 0 0 0

A1= 0 0 1 0 00 0 0 6.125742E-17 10 0 0 -1 6.12574E-170 0 0 0 0

6.125742E-17 -1 0 0 01 6.125742E-17 0 0 0

AT1= 0 0 1 0 00 0 0 6.125742E-17 -10 0 0 1 6.12574E-170 0 0 0 0

1.531436E-16 -0.03746594 -0.01873297 -1.53144E-16 0.037465942.5 2.295067E-18 1.14753E-18 -2.5 -2.2951E-18

AT1*K1= 0 0.01873297 2019.47094 0 -0.01873297-1.53144E-16 0.0374659401 0.01873297 1.531436E-16 -0.03746594

-2.5 -2.29507E-18 -1.1475E-18 2.5 2.29507E-180 0.01873297 977.804269 0 -0.01873297

0.0374659401 1.508485E-16 -0.01873297 -0.03746594 -1.5085E-161.508485E-16 2.5 1.14753E-18 -1.50848E-16 -2.5

K1= -0.01873297 1.147533E-18 2019.47094 0.01873297 -1.1475E-18-0.03746594 -1.50848E-16 0.01873297 0.0374659401 1.50848E-16

-1.50848E-16 -2.5 -1.1475E-18 1.508485E-16 2.5-0.01873297 1.147533E-18 977.804269 0.01873297 -1.1475E-18

6.1.1 MATRIZ DE RIGIDEZ TOTAL EMSAMBLADA

1 2 3 4 5

II.- DATOS INICIALES

E= 2213594.36G=0.44E 973981.519

B H L AREA INERCIA U ф20 50 400 1000 208333.333 1.2 0.0426136420 50 300 1000 208333.333 1.2 0.0757575820 50 500 1000 208333.333 1.2 0.0272727320 50 300 1000 208333.333 1.2 0.0757575820 50 400 1000 208333.333 1.2 0.0426136420 50 500 1000 208333.333 1.2 0.0272727320 50 500 1000 208333.333 1.2 0.0272727320 50 700 1000 208333.333 1.2 0.01391466

III.- DETERMINACION DE EJES GLOBALES

IV.- RELACION ENTRE EJES GLOBALES Y EJES LOCALES

90 1.5707963390 1.57079633

0 0270 4.71238898270 4.71238898

0 00 0

270 4.71238898

2.5 0 0 -2.5 0 00 0.03746594 0.01873297 0 -0.03746594 0.018732970 0.01873297 2019.4709355 0 -0.01873297 977.804269

K5= -2.5 0 0 2.5 0 00 -0.03746594 -0.01873297 0 0.03746594 -0.018732970 0.01873297 977.80426885 0 -0.01873297 1976.896

2 0 0 -2 0 00 0.01946903 0.0097345133 0 -0.01946903 0.009734510 0.00973451 1633.480826 0 -0.00973451 800.147493

K6= -2 0 0 2 0 00 -0.01946903 -0.009734513 0 0.01946903 -0.009734510 0.00973451 800.14749263 0 -0.00973451 1611.35693

2 0 0 -2 0 00 0.01946903 0.0097345133 0 -0.01946903 0.009734510 0.00973451 1633.480826 0 -0.00973451 800.147493

K7= -2 0 0 2 0 00 -0.01946903 -0.009734513 0 0.01946903 -0.009734510 0.00973451 800.14749263 0 -0.00973451 1611.35693

1.42857143 0 0 -1.42857143 0 00 0.0071886 0.0035943014 0 -0.0071886 0.00359430 0.0035943 1178.2228903 0 -0.0035943 582.984795

K8= -1.42857143 0 0 1.42857143 0 00 -0.0071886 -0.003594301 0 0.0071886 -0.00359430 0.0035943 582.98479502 0 -0.0035943 1170.05402

0 025000 0

f° 3= 3125000 f° 4= 0 f° 5=0 0

25000 0-3125000 0

P= 50000a= 250b= 250L= 500ф= 0.02727273

0 6.125742E-17 1 0 0 00 -1 6.12574E-17 0 0 00 A2= 0 0 1 0 00 0 0 0 6.12574E-17 10 0 0 0 -1 6.12574E-171 0 0 0 0 0

0 6.125742E-17 -1 0 0 00 1 6.12574E-17 0 0 00 AT2= 0 0 1 0 00 0 0 0 6.12574E-17 -10 0 0 0 1 6.12574E-171 0 0 0 0 0

-0.01873297 2.041914E-16 -0.08607199 -0.04303599 -2.0419E-16 0.086071991.14753E-18 3.3333333333 5.27255E-18 2.63627E-18 -3.33333333 -5.2725E-18977.804269 AT2*K2= 0 0.04303599 2631.06416 0 -0.043035990.01873297 -2.04191E-16 0.08607199 0.04303599 2.04191E-16 -0.08607199-1.1475E-18 -3.333333333 -5.2725E-18 -2.6363E-18 3.33333333 5.27255E-18

1976.896 0 0.04303599 1242.17527 0 -0.04303599

-0.01873297 0.0860719875 1.98919E-16 -0.04303599 -0.08607199 -1.9892E-161.14753E-18 1.989189E-16 3.33333333 2.63627E-18 -1.9892E-16 -3.33333333977.804269 K2= -0.043035994 2.63627E-18 2631.06416 0.04303599 -2.6363E-180.01873297 -0.086071987 -1.9892E-16 0.04303599 0.08607199 1.98919E-16-1.1475E-18 -1.98919E-16 -3.33333333 -2.6363E-18 1.98919E-16 3.33333333

1976.896 -0.043035994 2.63627E-18 1242.17527 0.04303599 -2.6363E-18

6 7 8 9 10 11 12 13

0 0 00 75000 500000 f° 6= 6250000 f° 7= 4166666.670 0 00 75000 500000 -6250000 -4166666.67

w= 300 w= 200L= 500 L= 500

0 1 0 0 0 00 0 1 0 0 00 A3= 0 0 1 0 00 0 0 0 1 00 0 0 0 0 11 0 0 0 0 0

0 1 0 0 0 00 0 1 0 0 00 AT3= 0 0 1 0 00 0 0 0 1 00 0 0 0 0 11 0 0 0 0 0

-0.04303599 2 0 0 -2 02.63627E-18 0 0.01946903 0.00973451 0 -0.019469031242.17527 AT3*K3= 0 0.00973451 1633.48083 0 -0.009734510.04303599 -2 0 0 2 0-2.6363E-18 0 -0.01946903 -0.00973451 0 0.019469032533.25509 0 0.00973451 800.147493 0 -0.00973451

-0.04303599 2 0 0 -2 02.63627E-18 0 0.01946903 0.00973451 0 -0.019469031242.17527 K3= 0 0.00973451 1633.48083 0 -0.009734510.04303599 -2 0 0 2 0-2.6363E-18 0 -0.01946903 -0.00973451 0 0.019469032533.25509 0 0.00973451 800.147493 0 -0.00973451

14 15 16 17 18 19 20 21

00

f° 8= 0000

0 -1.837723E-16 -1 0 0 00 1 -1.8377E-16 0 0 00 A4= 0 0 1 0 00 0 0 0 -1.8377E-16 -10 0 0 0 1 -1.8377E-161 0 0 0 0 0

0 -1.837723E-16 1 0 0 00 -1 -1.8377E-16 0 0 00 AT4= 0 0 1 0 00 0 0 0 -1.8377E-16 10 0 0 0 -1 -1.8377E-161 0 0 0 0 0

0 -6.125742E-16 0.08607199 0.04303599 6.12574E-16 -0.086071990.00973451 -3.3333333333 -1.5818E-17 -7.9088E-18 3.33333333 1.58176E-17800.147493 AT4*K4= 0 0.04303599 2631.06416 0 -0.04303599

0 6.1257423E-16 -0.08607199 -0.04303599 -6.1257E-16 0.08607199-0.00973451 3.3333333333 1.58176E-17 7.90882E-18 -3.33333333 -1.5818E-171611.35693 0 0.04303599 1242.17527 0 -0.04303599

0 0.0860719875 5.96757E-16 0.04303599 -0.08607199 -5.9676E-160.00973451 5.9675658E-16 3.33333333 -7.9088E-18 -5.9676E-16 -3.33333333800.147493 K4= 0.0430359937 -7.9088E-18 2631.06416 -0.04303599 7.90882E-18

0 -0.0860719875 -5.9676E-16 -0.04303599 0.08607199 5.96757E-16-0.00973451 -5.967566E-16 -3.33333333 7.90882E-18 5.96757E-16 3.333333331611.35693 0.0430359937 -7.9088E-18 1242.17527 -0.04303599 7.90882E-18

22 23 24 25 26 27 28 29

0 -1.837723E-16 -1 0 0 00 1 -1.8377E-16 0 0 00 A5= 0 0 1 0 00 0 0 0 -1.8377E-16 -10 0 0 0 1 -1.8377E-161 0 0 0 0 0

0 -1.837723E-16 1 0 0 00 -1 -1.8377E-16 0 0 00 AT5= 0 0 1 0 00 0 0 0 -1.8377E-16 10 0 0 0 -1 -1.8377E-161 0 0 0 0 0

0.04303599 -4.594307E-16 0.03746594 0.01873297 4.59431E-16 -0.03746594-7.9088E-18 -2.5 -6.8852E-18 -3.4426E-18 2.5 6.8852E-181242.17527 AT5*K5= 0 0.01873297 2019.47094 0 -0.01873297

-0.04303599 4.5943067E-16 -0.03746594 -0.01873297 -4.5943E-16 0.037465947.90882E-18 2.5 6.8852E-18 3.4426E-18 -2.5 -6.8852E-182533.25509 0 0.01873297 977.804269 0 -0.01873297

0.04303599 0.0374659401 4.52545E-16 0.01873297 -0.03746594 -4.5255E-16-7.9088E-18 4.5254547E-16 2.5 -3.4426E-18 -4.5255E-16 -2.51242.17527 K5= 0.01873297 -3.4426E-18 2019.47094 -0.01873297 3.4426E-18

-0.04303599 -0.0374659401 -4.5255E-16 -0.01873297 0.03746594 4.52545E-167.90882E-18 -4.525455E-16 -2.5 3.4426E-18 4.52545E-16 2.52533.25509 0.01873297 -3.4426E-18 977.804269 -0.01873297 3.4426E-18

30 31 32 33123456789

10111213141516171819202122232425262728

2930313233

0 1 0 0 0 00 0 1 0 0 00 A6= 0 0 1 0 00 0 0 0 1 00 0 0 0 0 11 0 0 0 0 0

0 1 0 0 0 00 0 1 0 0 00 AT6= 0 0 1 0 00 0 0 0 1 00 0 0 0 0 11 0 0 0 0 0

0.01873297 2 0 0 -2 0-3.4426E-18 0 0.01946903 0.00973451 0 -0.01946903977.804269 AT6*K6= 0 0.00973451 1633.48083 0 -0.00973451

-0.01873297 -2 0 0 2 03.4426E-18 0 -0.01946903 -0.00973451 0 0.01946903

1976.896 0 0.00973451 800.147493 0 -0.00973451

0.01873297 2 0 0 -2 0-3.4426E-18 0 0.01946903 0.00973451 0 -0.01946903977.804269 K6= 0 0.00973451 1633.48083 0 -0.00973451

-0.01873297 -2 0 0 2 03.4426E-18 0 -0.01946903 -0.00973451 0 0.01946903

1976.896 0 0.00973451 800.147493 0 -0.00973451

0 1 0 0 0 00 0 1 0 0 00 A7= 0 0 1 0 00 0 0 0 1 00 0 0 0 0 11 0 0 0 0 0

0 1 0 0 0 00 0 1 0 0 00 AT7= 0 0 1 0 00 0 0 0 1 00 0 0 0 0 11 0 0 0 0 0

0 2 0 0 -2 00.00973451 0 0.01946903 0.00973451 0 -0.01946903800.147493 AT7*K7= 0 0.00973451 1633.48083 0 -0.00973451

0 -2 0 0 2 0-0.00973451 0 -0.01946903 -0.00973451 0 0.019469031611.35693 0 0.00973451 800.147493 0 -0.00973451

0 2 0 0 -2 00.00973451 0 0.01946903 0.00973451 0 -0.01946903800.147493 K7= 0 0.00973451 1633.48083 0 -0.00973451

0 -2 0 0 2 0-0.00973451 0 -0.01946903 -0.00973451 0 0.019469031611.35693 0 0.00973451 800.147493 0 -0.00973451

0 -1.837723E-16 -1 0 0 00 1 -1.8377E-16 0 0 00 A8= 0 0 1 0 00 0 0 0 -1.8377E-16 -10 0 0 0 1 -1.8377E-161 0 0 0 0 0

0 -1.837723E-16 1 0 0 00 -1 -1.8377E-16 0 0 00 AT8= 0 0 1 0 00 0 0 0 -1.8377E-16 10 0 0 0 -1 -1.8377E-161 0 0 0 0 0

0 -2.625318E-16 0.0071886 0.0035943 2.62532E-16 -0.00718860.00973451 -1.4285714286 -1.3211E-18 -6.6053E-19 1.42857143 1.32107E-18800.147493 AT8*K8= 0 0.0035943 1178.22289 0 -0.0035943

0 2.6253181E-16 -0.0071886 -0.0035943 -2.6253E-16 0.0071886-0.00973451 1.4285714286 1.32107E-18 6.60533E-19 -1.42857143 -1.3211E-181611.35693 0 0.0035943 582.984795 0 -0.0035943

0 0.0071886028 2.61211E-16 0.0035943 -0.0071886 -2.6121E-160.00973451 2.6121075E-16 1.42857143 -6.6053E-19 -2.6121E-16 -1.42857143800.147493 K8= 0.0035943014 -6.6053E-19 1178.22289 -0.0035943 6.60533E-19

0 -0.0071886028 -2.6121E-16 -0.0035943 0.0071886 2.61211E-16-0.00973451 -2.612107E-16 -1.42857143 6.60533E-19 2.61211E-16 1.428571431611.35693 0.0035943014 -6.6053E-19 582.984795 -0.0035943 6.60533E-19

000001

000001

0.0035943-6.6053E-19582.984795-0.0035943

6.60533E-191170.05402

0.0035943-6.6053E-19582.984795-0.0035943

6.60533E-191170.05402