resolucion de examen para capu

7/24/2019 Resolucion de Examen Para Capu

1/33

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


2/33

|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

][= # # #[ ^ [ [


3/33

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

#[ = #[ [

#[ = #[ #[


4/33

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

#[ = #[ ^ #[

#[ = #[_ ^ #[


5/33

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


6/33

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


7/33

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/ #[


8/33

#


9/33

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


10/33

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


11/33

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


12/33

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


13/33


14/33

AB

BD

CD

AC

AF

EB

AE

FBCE

FD

CF

EF

ED

0 0 0 0 0


15/33

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


16/33

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


17/33


18/33


19/33


20/33


21/33

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


22/33


23/33


24/33


25/33


26/33

0

0

00

0

0

0

0

0

0

0

0

0.03296902


27/33


28/33


29/33


30/33


31/33

NUDOS COORDENADAS

X Y Z 1

A 2

B 3C 4

D 5

E 6

F 7

8

9


32/33

BARRAS +X +Y +Z ,

AD


33/33

resolucion de examen para capu

Documents