8/17/2019 Matriz 13x13

1/7

matriz de rigidez

0.5 0 -0.25 0 0 0 0 0

0 0.25 0 0 0 0 0 0

-0.25 0 0.6768 0 -0.25 0 0 -0.0884

0 0 0 0.3196 0 0 0 -0.0884

0 0 -0.25 0 0.5 0 -0.25 0

0 0 0 0 0 0.25 0 0

0 0 0 0 -0.25 0 0.3384 -0.0884

0 0 -0.0884 -0.0884 0 0 -0.0884 0.3048

0 0 -0.0884 -0.0884 0 -0.25 0.0884 -0.096

0 0 0 0 0 0 0 -0.128

0 0 0 -0.1429 0 0 0 0.096

0 0 -0.0884 0.0884 0 0 0 0

0 -0.25 0.0884 -0.0884 0 0 0 0

inversa de la matriz de rigidez

1 2 3 4 5 6 7 8

4.0004 -3.00289 4.0008016 -2.004011 4.001202 -1.00289 4.001603 2.999845

-3.0029 21.1047 -6.0057842 14.46044 -7.008676 9.44864 -8.01157 -1.39916

4.0008 -6.00578 8.0016032 -4.008022 8.002405 -2.00578 8.003206 5.999689

-2.004 14.4604 -4.008022 20.05503 -6.012033 14.4604 -8.01604 0.77694

4.0012 -7.00868 8.0024048 -6.012033 12.00361 -5.00868 12.00481 6.999534

-1.0029 9.44864 -2.0057842 14.46044 -5.008676 21.1047 -8.01157 0.600837

4.0016 -8.01157 8.0032064 -8.016044 12.00481 -8.01157 16.00641 7.999378

2.99984 -1.39916 5.9996892 0.77694 6.999534 0.60084 7.999378 11.42783

-1.0029 9.44864 -2.0057842 14.46044 -5.008676 17.1047 -8.01157 0.600837

2.2508 -2.13474 4.5016032 -4.008022 6.252405 -5.87682 8.003206 7.077744

-2.0028 11.4527 -4.0056179 14.0448 -6.008427 11.4527 -8.01124 -2.22263

3.00176 -8.61241 6.0035172 -8.792984 7.005276 -6.61241 8.007034 4.227657

-3.0029 17.1047 -6.0057842 14.46044 -7.008676 9.44864 -8.01157 -1.39916

8/17/2019 Matriz 13x13

2/7

0 0 0 0 0

0 0 0 0 -0.25

-0.0884 0 0 -0.0884 0.0884

-0.0884 0 -0.1429 0.0884 -0.0884

0 0 0 0 0

-0.25 0 0 0 0

0.0884 0 0 0 0

-0.096 -0.128 0.096 0 0

0.4988 0.096 -0.072 0 0

0.096 0.256 0 -0.128 -0.096

-0.072 0 0.2869 -0.096 -0.072

0 -0.128 -0.096 0.3048 0.096

0 -0.096 -0.072 0.096 0.4988

9 10 11 12 13

-1.002892 2.250801604 -2.002809 3.0017586 -3.0028921   1

9.4486388 -2.13474345 11.452663 -8.6124056 17.1047475  2

-2.005784 4.501603209 -4.0056179 6.0035172 -6.0057842   3

14.460436 -4.00802201 14.044805 -8.7929845 4.4634888   4

-5.008676 6.252404813 -6.0084269 7.0052758 -7.0086763   5

17.104747 -5.8768249 11.452663 -6.6124056 9.44863885  6

-8.011568 8.003206418 -8.0112358 8.0070344 -8.0115683   7

0.6008372 7.077743522 -2.2226258 4.2276565 -1.3991628   8

17.104747 -5.8768249 11.452663 -6.6124056 9.44863885  9

-5.876825 12.38918805 -4.0056179 7.0815715 -2.1347435   10

11.452663 -4.00561792 15.036081 -5.78861 11.4526625  11

-6.612406 7.081571492 -5.78861 11.435486 -8.6124056   12

9.4486388 -2.13474345 11.452663 -8.6124056 17.1047475  13

8/17/2019 Matriz 13x13

3/7

fuerzas u (hallado !dl

0 240.41418564   1

-30 -1784.22777477   2

0 480.82837134   3

-60 -2070.9282792   4

0 721.24255698   5

-30 -1784.22777477   6

0 961.65674262   7

0 -22.666660752   8

0 -1664.22777477   9

0 480.82837134   10

0 -1529.8480464   11

0 984.32340336   12

0 -1664.22777477   13

"#$$# %& %'

#" 240.41418564 -1784.22777477

# 984.32340336 -1664.22777477

" 743.90921772 120

") 240.4141857 -286.70050443

) 503.49503202 406.70050443

! -503.49503202 134.37972837

)! 0 541.0802328

)* -503.495032092 406.70050443

)+ 240.41418564 286.70050443

*! 503.495032092 134.37972837

+* -743.909217732 120

+, 240.41418564 1784.22777477

,* -984.323403372 -1664.22777477

8/17/2019 Matriz 13x13

4/7

u (rogram

2.400E+02

-1.781E+03

4.800E+02

-2.067E+03

7.200E+02

-1.781E+03

9.600E+02

-2.258E+01

-1.661E+03

4.800E+02

-1.527E+03

9.826E+02

-1.661E+03

 % %/

4 0 4 60.10354641 60

4 4 5.65685425 -84.9880464263 -84.8528137

0 4 4 30 30

4 0 4 60.103546425 60

-4 4 5.65685425 -12.0993159488 -12.1218305

4 3 5 -64.4336377188 -64.2857143

0 7 7 77.2971761143 77.1428571

4 4 5.65685425 -12.0993159578 -12.1218305

4 0 4 60.10354641 60

-4 3 5 -64.4336377303 -64.2857143

0 4 4 30 30

4 0 4 60.10354641 60

-4 4 5.65685425 -84.9880464248 -84.8528137

8/17/2019 Matriz 13x13

5/7

8/17/2019 Matriz 13x13

6/7

!+ ") #" +, )+ " +* )! # )* ! ,* )

1 1 0 5 3 1 5 3 0 3 12 7 3

2 2 0 6 4 2 6 4 0 4 13 0 4

3 3 1 7 5 12 8 10 12 8 10 8 12

4 4 2 0 6 13 9 11 13 9 11 9 13

8/17/2019 Matriz 13x13

7/7

*!

8

9

10

11