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NUDOS COORDENADAS
X Y Z 1
A 0 6 0 2B 42 6 0 3
C 0 -6 0 4
D 42 -6 0 5
E 14 0 10 6
F 28 0 10 7
8
9
10
11
1213
B C
X Y Y
1.000000 0.000000 0.000000
0.000000 1.000000 0.000000
0.000000 0.000000 0.0000000.000000 0.000000 -1.000000
0.000000 0.000000 0.000000
|a|= 0.923133 0.197814 0.000000
0.000000 0.000000 0.000000
0.768350 0.329293 0.000000
0.000000 0.000000 -0.329293
0.000000 0.000000 0.000000
0.000000 0.000000 -0.197814
0.000000 0.000000 0.000000
0.000000 0.000000 0.000000
1 0 0
0 1 0
0 0 0
0 0 1
0 0 0
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|a|t= 0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
Paso N 2 = Matriz global de rigidez
0.0238095238 0 0
0 0.0833333333 0
0 0 0
0 0 0.0238095238
|a|t |!|= 0 0 0
0 0 0
0 0 00 0 0
0 0 0
0 0 0
0.0843051593 0.0199062705 0
0.0199062705 0.0905744999 0
0 0 0.0905744999
0 0 0
|"|= |a|t |!| |a|= -0.0280953419 -0.0060204304 -0.0138858401
-0.0060204304 -0.0012900922 -0.00595107430.0100340507 0.0021501537 -0.0099184572
-0.0324002936 -0.0138858401 -0.0060204304
-0.0138858401 -0.0059510743 -0.0012900922
0.0231430669 0.0099184572 -0.0021501537
Paso N 3 = Calculo de los desplazamiento
29.233239264 -0.8346669079 0.8346669079
-0.8346669079 11.923604353 0.07639564660.8346669079 0.0763956466 11.9236043534
10.012544321 0.8346669079 -0.8346669079
|"|-1 = 11.188554104 0.8571428571 0.8571428571
8.2588366623 0.3995956581 5.6004043419
-16.830340825 -1.177081306 2.377081306
8.434337689 0.8571428571 0.8571428571
18.160411516 3.3058700129 2.6941299871
-16.830340825 -2.377081306 1.177081306
][= # # #[ ^ [ [
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0B
0
0 C
0 D
|F|= 1
E-2-3
0
F-4
-5
56.671961313
2.2511219372
-34.136836223
238.99700125
|$| =|F| |"|-1 = 93.144975512-227.72034583
-217.56257748
47.213938078
-453.12998717
-265.99309144
Paso N 4 = Calculo de las deformaciones
56.671961313
2.2511219372238.99700125
34.136836223
45.524922735
-59.906079796
|%| = 27.151614303
11.238107593
-111.58070347
-147.83862533
-126.99336757
-45.93103743417.866206393
Paso N 5 = Calculo de los esfuerzos
1.3493324122
0.1875934948
5.6904047917
#[ = #[ [
#[ = #[ #[
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2.8447363519
1.5009122552
|S|= -1.9750449628
1.4901384258
0.6167712818
-6.1237866726
-8.1136986535-4.1868473412
-3.2807883881
0.5890313815
Paso N 6 = Comprobacion
1.054712E-015
2.220446E-016
-7.77156E-016
-1.99840E-015|F| = 1
-2
-3
-2.66454E-015
-4
-5
Paso N 7 = eacciones
A
X Y Z
-1 0 0
0 0 0
0 0 0
0 1 0
|a&| = -0.9231326628 0.197814142 -0.3296902367
0 0 0
-0.7683498199 0.32929278 -0.5488212999
0 0 00 0 0
0 0 0
0 0 0
0 0 0
0 0 0
-1 0 0
#[ = #[ ^ #[
#[ = #[_ ^ #[
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0 0 0
0 0 0
|a&|t = 0 0 0
0 0 -1
0 0 0
0 -1 0
0 0 0
-3.87982113
a
3.6323298467
-1.3126558246
|'|= 0.3126558246 (
2.87982113
)4.7412272532
2.3676701533
*4.2587727468
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BARRAS +X +Y +Z ,
AB 42 0 0 42
BD 0 -12 0 12CD 42 0 0 42
AC 0 -12 0 12
AF 28 -6 10 30.332
EB 28 6 -10 30.332
AE 14 -6 10 18.221
FB 14 6 -10 18.221
CE 14 6 10 18.221
FD 14 -6 -10 18.221
CF 28 6 10 30.332
EF 14 0 0 14ED 28 -6 -10 30.332
D E
X X Y Z X
0.000000 0.000000 0.000000 0.000000 0.000000
0.000000 0.000000 0.000000 0.000000 0.000000
1.000000 0.000000 0.000000 0.000000 0.0000000.000000 0.000000 0.000000 0.000000 0.000000
0.000000 0.000000 0.000000 0.000000 0.923133
0.000000 -0.923133 -0.197814 0.329690 0.000000
0.000000 0.768350 -0.329293 0.548821 0.000000
0.000000 0.000000 0.000000 0.000000 -0.768350
0.000000 0.768350 0.329293 0.548821 0.000000
0.768350 0.000000 0.000000 0.000000 -0.768350
0.000000 0.000000 0.000000 0.000000 0.923133
0.000000 -1.000000 0.000000 0.000000 1.000000
0.923133 -0.923133 0.197814 0.329690 0.000000
0 0 0.9231326628 0 0.7683498199
0 0 0.197814142 0 0.32929278
-1 0 0 0 0
0 0 0 0 0
0 0 -0.9231326628 0.7683498199 0
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0 0 -0.197814142 -0.32929278 0
0 0 0.3296902367 0.5488212999 0
0 0.9231326628 0 0 -0.7683498199
0 -0.197814142 0 0 -0.32929278
0 0.3296902367 0 0 0.5488212999
0 0 0.0304347826 0 0.0421686747
0 0 0.0065217391 0 0.0180722892
-0.0833333333 0 0 0 0
0 0 0 0 0
0 0 -0.0304347826 0.0421686747 0
0 0 -0.0065217391 -0.0180722892 0
0 0 0.0108695652 0.0301204819 00 0.0304347826 0 0 -0.0421686747
0 -0.0065217391 0 0 -0.0180722892
0 0.0108695652 0 0 0.0301204819
0 -0.0280953419 -0.0060204304 0.0100340507 -0.0324002936
0 -0.0060204304 -0.0012900922 0.0021501537 -0.0138858401
0 -0.0138858401 -0.0059510743 -0.0099184572 -0.0060204304
0.0843051593 -0.0280953419 0.0060204304 0.0100340507 -0.0324002936
-0.0280953419 0.1924198425 0 0.0262180324 -0.0714285714
0.0060204304 0 0.0144823331 0 00.0100340507 0.0262180324 0 0.0402287032 0
-0.0324002936 -0.0714285714 0 0 0.1924198425
0.0138858401 0 0 0 0
0.0231430669 0 0 0 -0.0262180324
10.012544321 11.1885541037 8.2588366623 -16.830340825 8.434337689
0.8346669079 0.8571428571 0.3995956581 -1.177081306 0.8571428571-0.8346669079 0.8571428571 5.6004043419 2.377081306 0.8571428571
29.233239264 11.1885541037 -8.2588366623 -17.33114097 8.434337689
11.188554104 13.3402906254 0.4285714286 -14.110091028 7.7173988328
-8.2588366623 0.4285714286 78.2530984505 1.0801213026 0.4285714286
-17.33114097 -14.110091028 1.0801213026 43.223485018 -9.0715728225
8.434337689 7.7173988328 0.4285714286 -9.0715728225 10.5860742107
-18.160411516 0.4285714286 16.5004374847 0.2082389961 0.4285714286
-17.33114097 -8.0091680749 0.4801213026 14.157766562 -2.9706498697
#[ = ] #[ #[ = ]^( 1/ #[
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#
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B C D
Z X Z Y Z
0 0 0 0 0
0 0 0 -1 0
0 -1 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3296902367 0 0 0 0
0 0 0 0 0
-0.5488212999 0 0 0 00 -0.7683498199 -0.5488212999 0 0
0 0 0 -0.32929278 -0.5488212999
0 -0.9231326628 -0.3296902367 0 0
0 0 0 0 0
0 0 0 -0.197814142 -0.3296902367
0 -0.9231326628 0 -0.7683498199 0
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1 0.197814142 0 0.32929278 0
0 -0.3296902367 0 -0.5488212999 0
0 0 -0.3296902367 0 -0.5488212999
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
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1 0 0
0 -1 01 0 0
0 -1 0
0.923 -0.198 0.330 |!|=
0.923 0.198 -0.330
0.768 -0.329 0.549
0.768 0.329 -0.549
0.768 0.329 0.549
0.768 -0.329 -0.549
0.923 0.198 0.330
1 0 00.923 -0.198 -0.330
F
Y Z
0.000000 0.000000 AB
0.000000 0.000000 BD
0.000000 0.000000 CD0.000000 0.000000 AC
-0.197814 0.329690 AF
0.000000 0.000000 EB
0.000000 0.000000 AE
-0.329293 0.548821 FB
0.000000 0.000000 CE
0.329293 0.548821 FD
0.197814 0.329690 CF
0.000000 0.000000 EF
0.000000 0.000000 ED
0 0 0 0 0
0 0 0 0 0
-0.32929278 0 -0.19781414 0 0
0 0.7683498199 0 0 0.92313266
0.7683498199 0 0 -1 -0.92313266
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0.32929278 0 0 0 0.19781414
0.5488212999 0 0 0 0.32969024
0 -0.7683498199 0.92313266 1 0
0 0.32929278 0.19781414 0 0
0 0.5488212999 0.32969024 0 0
0 0 0 0 0
0 0 0 0 0
-0.0180722892 0 -0.00652174 0 0
0 0.0421686747 0 0 0.03043478
0.0421686747 0 0 -0.07142857 -0.03043478
0.0180722892 0 0 0 0.00652174
0.0301204819 0 0 0 0.010869570 -0.0421686747 0.03043478 0.07142857 0
0 0.0180722892 0.00652174 0 0
0 0.0301204819 0.01086957 0 0
-0.0138858401 0.0231430669
-0.0059510743 0.0099184572
-0.0012900922 -0.0021501537
0.0138858401 0.0231430669
0 0
0 00 0
0 -0.0262180324
0.0144823331 0
0 0.0402287032
18.1604115165 -16.830340825
3.3058700129 -2.3770813062.6941299871 1.177081306
-18.160411516 -17.33114097
0.4285714286 -8.0091680749
16.5004374847 0.4801213026
0.2082389961 14.157766562
0.4285714286 -2.9706498697
105.472942915 -0.3917610039
-0.3917610039 43.223485018
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AB
BD
CD
AC
AF
EB
AE
FBCE
FD
CF
EF
ED
0 0 0 0 0
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0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.7683498199 0 -0.92313266 0 0
-0.5488212999 0 -0.32969024 0 0
0 -0.32929278 0 0 -0.19781414
0 -0.5488212999 0 0 -0.32969024
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0.02380952 0 0 0 0 0
0 0.08333333 0 0 0 0
0 0 0.02380952 0 0 00 0 0 0.08333333 0 0
0 0 0 0 0.03296902 0
0 0 0 0 0 0.03296902
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
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0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 00 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0.05488213 0 0 0 0 0
0 0.05488213 0 0 0 0
0 0 0.05488213 0 0 0
0 0 0 0.05488213 0 0
0 0 0 0 0.03296902 0
0 0 0 0 0 0.07142857
0 0 0 0 0 0
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0
0
00
0
0
0
0
0
0
0
0
0.03296902
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NUDOS COORDENADAS
X Y Z 1
A 2
B 3C 4
D 5
E 6
F 7
8
9
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BARRAS +X +Y +Z ,
AD
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