2 practica
DESCRIPTION
analisisTRANSCRIPT
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BARRA N SENTIDOINICIO FINAL
a b Barra 1a c Barra 2b c Barra 3a d Barra 4a e Barra 5b d Barra 6b f Barra 7c f Barra 8c d Barra 9d e Barra 10e f Barra 11f d Barra 12
Matriz de Continuidad
0 0 00 0 00 0 0
0.485 0.485 0.7280 0 0
a -0.640 0.426 0.6400 0 00 0.000 0.000
-0.137 -0.549 0.824-1.000 0.000 0.000
0 0 0-0.447 -0.894 0.000
Dx y z
Matriz de Rigidez
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0.067 0 00 0.071 00 0 0.0710 0 00 0 0
k 0 0 00 0 00 0 00 0 00 0 00 0 00 0 0
Fuerzas Externas
0 D0
-2000 E000 F000 C00 A0 B
Clculo de la Matriz Global de Rigidez
0 0 00 0 00 0 00 0 00 0 00 0 0
at 0 0 00 0 00 0 00 0.52999894 -0.52999894
]= ] ] ][ [ ^ [ [
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0 0.847998304 0.847998304-1 -0.52999894 01 0 0.52999894
0 0 00 0 00 0 00 0 0
at*k 0 0 00 0 00 0 00 0 00 0 00 0.0374531835 -0.03745318350 0.0599250936 0.0599250936
-0.0666666667 -0.037453184 00.0666666667 0 0.0374531835
0.44278485 0.12580870 -0.010906060.12580870 0.29810247 0.00644815
-0.01090606 0.00644815 0.13407424-0.33333333 0.00000000 0.000000000.00000000 0.00000000 0.000000000.00000000 0.00000000 0.00000000
K -0.05962848 -0.11925696 0.00000000-0.11925696 -0.23851392 0.000000000.00000000 0.00000000 0.00000000
-0.00172781 -0.00691122 0.01036684-0.00691122 -0.02764489 0.04146734-0.01902240 -0.01902240 -0.02853360-0.02907282 0.01938188 0.02907282
Clculo de los Desplazamientos
### 1.47313081 1.050107010.71467675 23.31516177 -2.314524170.93662275 -2.31452417 9.03829474
### 1.47313081 1.050107012.63298909 4.35560099 0.40281442
K-1 0.00000000 3.79724234 -1.29186424### 20.43269159 -1.66723158
1.34108107 13.83538138 -0.955854870.00000000 2.23948067 0.63792379
### 7.80707335 -2.72852509
[ ]= ]" [ " ^(1) ][
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1.84487766 7.11693938 -2.86962625### 8.17410714 0.02678571### 1.14285714 -1.28571429
-210.0214014575462.9048337572
-1807.6589482663-210.0214014575
-80.5628842297u 258.3728480868
333.4463165295191.1709747638
-127.5847586082545.7050175194573.9252505883
-5.3571428571257.1428571429
Clculo de los Deformaciones de las Barras
262.50778.75333.75
-1190.000.00
e -660.000.000.00
-1325.000.000.000.00
Clculo de los Esfuerzos en las Barras
17.5055.0323.58
-96.21s 0.00
-46.90
]= ] ][ [ [
]= ][[ [ ]
]= ] ][ [ [
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0.000.00
-121.340.000.000.00
COMPROBACIN
0.000.00
-200.000.000.00
F 0.000.000.000.000.000.000.000.00
Calculando Reacciones
0 0.000 0.0000.000 -0.848 0.0000.000 0 0
0 -0.485 -0.7280 -0.426 -0.6400 0 00 0 0
-0.949 0 0-0.824 0 0
0 0 00 0 00 0 0
C Az y z
0 0 0
]= ] ][ [ ^ []= ] ][ [ ^ [
[H]= [ _ ] ^ ] [
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0 -0.847998304 0Aht 0 0 0
0 0 -0.8479983040 0 0
100.00 C z0.00 A y
H 70.00 z0.00 B y
30.00 z
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E A COORDENADAST/m2 m2 Dx Dy
1 1 15 01 1 7.5 121 1 -7.5 121 1 6 61 1 9 61 1 -9 61 1 -7.5 91 1 0 -31 1 -1.5 -61 1 3 01 1 -1.5 31 1 -1.5 -3
APOYOS COORDENADASa 0 0b 15 0c 7.5 12d 6 6e 9 6f 7.5 9
0 0 0 00 0 0 00 0 0 00 0 0 0
0.640 0.426 0.640 00 0 0 00 0 0 -0.5080 0 0 0.000
0.000 0.000 0.000 0.0001.000 0.000 0.000 0.0000.447 -0.894 0.000 -0.447
0 0 0 0.447E Fx y z x
-
0 0 0 00 0 0 00 0 0 0
0.081 0 0 00 0.071 0 00 0 0.071 00 0 0 0.0680 0 0 00 0 0 00 0 0 00 0 0 00 0 0 0
0.4850712501 0 -0.6396021491 00.4850712501 0 0.4264014327 00.7276068751 0 0.6396021491 0
0 0.6396021491 0 00 0.4264014327 0 00 0.6396021491 0 00 0 0 -0.50767308260 0 0 0.60920769910 0 0 0.60920769910 0 0 0
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0 0 0 0-0.4850712501 -0.6396021491 0 0
0 0 0.6396021491 0.5076730826
0.0392156863 0 -0.0454545455 00.0392156863 0 0.0303030303 00.0588235294 0 0.0454545455 0
0 0.0454545455 0 00 0.0303030303 0 00 0.0454545455 0 00 0 0 -0.03436426120 0 0 0.04123711340 0 0 0.04123711340 0 0 00 0 0 0
-0.0392156863 -0.0454545455 0 00 0 0.0454545455 0.0343642612
-0.33333333 0.00000000 0.00000000 -0.059628480.00000000 0.00000000 0.00000000 -0.119256960.00000000 0.00000000 0.00000000 0.000000000.42203464 -0.09987508 0.02907282 -0.05962848
-0.09987508 0.25143517 0.01938188 0.119256960.02907282 0.01938188 0.02907282 0.00000000
-0.05962848 0.11925696 0.00000000 0.136702770.11925696 -0.23851392 0.00000000 -0.020934970.00000000 0.00000000 0.00000000 -0.020934970.00000000 0.00000000 0.00000000 0.000000000.00000000 0.00000000 0.00000000 0.00000000
-0.02907282 -0.01938188 -0.02907282 0.000000000.00000000 0.00000000 0.00000000 -0.01744581
### 11.05311228 -10.65781270 ###0.71467675 4.35560099 3.79724234 20.963851300.93662275 0.40281442 -1.29186424 -2.34155687
### 12.55311228 -14.65781270 ###4.03724994 36.23056579 -33.83628709 -23.52136922
-4.18176874 -33.83628709 92.60279109 33.45414989### -15.41337757 21.87006677 ###
1.34108107 18.05469341 -12.77726239 0.447027020.00000000 -2.45721262 0.45370838 5.42568913
### 0.64225418 17.97659245 ###
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1.84487766 4.34448021 -0.08382014 4.91967375### 2.87053571 20.99107143 ###### -2.28571429 15.42857143 ###
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0.000 0.000 10 0 2
-0.848 0.000 30 0 40 0 5
-0.426 -0.640 6-0.609 -0.609 7
0 0 80 0 90 0 100 0 110 0 12
By z
0 0 0 0
-
-0.4850712501 -0.4264014327 0 0-0.7276068751 -0.6396021491 0 0
0 0 -0.4264014327 -0.60920769910 0 -0.6396021491 -0.6092076991
Sz 200.00
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COORDENADAS L k = EA/L Ux UyDz m T/m0 15.000 0.067 1.000 0.0000 14.151 0.071 0.530 0.8480 14.151 0.071 -0.530 0.8489 12.369 0.081 0.485 0.4859 14.071 0.071 0.640 0.4269 14.071 0.071 -0.640 0.4269 14.773 0.068 -0.508 0.6099 9.487 0.105 0.000 -0.3169 10.920 0.092 -0.137 -0.5490 3.000 0.333 1.000 0.0000 3.354 0.298 -0.447 0.8940 3.354 0.298 -0.447 -0.894
COORDENADAS0 EJE00999
0 0 0 0 -1.0000 0 0.530 0.848 -0.5300 0 -0.530 0.848 00 0 0 0 -0.4850 0 0 0 -0.6400 0 0 0 0
0.609 0.609 0 0 0-0.316 0.949 0.000 0.316 00.000 0.000 0.137 0.549 00.000 0.000 0 0 00.894 0.000 0 0 00.894 0.000 0 0 0
C Ay z x y x
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0 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0
0.105 0 0 0 00 0.092 0 0 00 0 0.333 0 00 0 0 0.298 00 0 0 0 0.298
0 -0.1373605639 -1 0 -0.44721359550 -0.5494422558 0 0 -0.8944271910 0.8241633837 0 0 00 0 1 0.4472135955 00 0 0 -0.894427191 00 0 0 0 00 0 0 -0.4472135955 0.4472135955
-0.316227766 0 0 0.894427191 0.8944271910.9486832981 0 0 0 0
0 0.1373605639 0 0 0
-
0.316227766 0.5494422558 0 0 00 0 0 0 00 0 0 0 0
0 -0.0125786164 -0.333333333 0 -0.13333333330 -0.0503144654 0 0 -0.26666666670 0.0754716981 0 0 00 0 0.333333333 0.1333333333 00 0 0 -0.2666666667 00 0 0 0 00 0 0 -0.1333333333 0.1333333333
-0.0333333333 0 0 0.2666666667 0.26666666670.1 0 0 0 0
0 0.0125786164 0 0 00.0333333333 0.0503144654 0 0 0
0 0 0 0 00 0 0 0 0
-0.11925696 0.00000000 -0.00172781 -0.00691122 -0.01902240-0.23851392 0.00000000 -0.00691122 -0.02764489 -0.019022400.00000000 0.00000000 0.01036684 0.04146734 -0.028533600.11925696 0.00000000 0.00000000 0.00000000 -0.02907282
-0.23851392 0.00000000 0.00000000 0.00000000 -0.019381880.00000000 0.00000000 0.00000000 0.00000000 -0.02907282
-0.02093497 -0.02093497 0.00000000 0.00000000 0.000000000.51269073 -0.00650081 0.00000000 -0.01054093 0.00000000
-0.00650081 0.11999030 0.00000000 0.03162278 0.000000000.00000000 0.00000000 0.04142810 0.00691122 -0.01985015
-0.01054093 0.03162278 0.00691122 0.13981857 -0.031760240.00000000 0.00000000 -0.01985015 -0.03176024 0.134612040.02093497 0.02093497 -0.01985015 0.03176024 -0.06666667
7.40597869 -0.34681663 ### 2.44642857 ###13.83538138 2.23948067 7.62321866 7.11693938 6.90854191-0.95585487 0.63792379 -2.80986825 -2.86962625 -0.468311377.40597869 -0.34681663 ### 2.44642857 ###
18.05469341 -2.45721262 -9.47876073 4.34448021 -6.49470643-12.77726239 0.45370838 33.45414989 -0.08382014 33.45414989
5.51590413 5.12628915 ### 5.21888774 ###17.10965613 0.27934027 -0.44702702 5.73070980 0.44702702
0.27934027 10.08210073 -0.75356793 -1.85782715 -1.205708695.36752091 -1.18255256 ### 2.91517857 ###
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5.73070980 -1.85782715 2.45983688 11.30419126 4.304714546.66517857 -1.53125000 ### 5.25892857 ###0.57142857 -2.00000000 ### 0.57142857 ###
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-0.9486832981 -0.8241633837 0 0 0
-
0 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0
-
Uz
0.0000.0000.0000.7280.6400.6400.6090.9490.8240.0000.0000.000
1.000 10 2
0.530 30 40 5
0.640 60.508 7
0 80 90 100 110 12
Bx
-
-0.029072820.019381880.029072820.000000000.000000000.00000000
-0.017445810.020934970.02093497
-0.019850150.03176024
-0.066666670.13303545
###1.19112792
-1.40493412###
-11.0585541925.09061242
###-4.91729727-1.65784946
###
-
0.00000000######
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BARRA N SENTIDO E AINICIO FINAL T/m2 m2
B A Barra 1 1 1C A Barra 2 1 1C B Barra 3 1 1D B Barra 4 1 1A D Barra 5 1 1C D Barra 6 1 1
0 0 0 -0.948683298 -0.3162277660 0 0 0 0
a 0 0 0 -0.882352941 0.47058823530.4472135955 0 0.894427191 -0.447213595 0
-0.6666666667 -0.3333333333 0.666666667 0 0-0.6154574549 0.4923659639 0.615457455 0 0
D BX Y
Matriz de Rigidez
0.063 0 0 0 00 0.077 0 0 0
k 0 0 0.059 0 00 0 0 0.089 00 0 0 0 0.0670 0 0 0 0
Fuerzas Externas
200 D-350
0
-
0 B x0 y
Clculo de la Matriz Global de Rigidez
0 0 0 0.447213595 -0.66666666670 0 0 0 -0.3333333333
at 0 0 0 0.894427191 0.6666666667-0.9486832981 0 -0.882352941 -0.447213595 0
-0.316227766 0 0.470588235 0 0
0 0 0 0.04 -0.0444444444aT*k 0 0 0 0 -0.0222222222
0 0 0 0.08 0.0444444444-0.06 0 -0.051903114 -0.04 0-0.02 0 0.027681661 0 0
0.0708309558 -0.0038354111 -0.017165324 -0.017888544 0-0.0038354111 0.0223275881 0.003835411 0 0-0.0171653244 0.0038354111 0.124496587 -0.035777088 0
K -0.0178885438 0 -0.035777088 0.120606407 -0.0054513290 0 0 -0.005451329 0.0193512193
Clculo de los Desplazamientos
15.8100813687 2.1903505372 3.059102791 3.294387138 0.9280442606K-1 2.1903505372 45.352025312 -1.095175269 -7.8424E-017 0
3.0591027911 -1.0951752686 9.43459208 3.294387138 0.92804426063.2943871384 -1.37156E-016 3.294387138 9.883161415 2.78413278170.9280442606 -3.86376E-017 0.928044261 2.784132782 52.460633581
2395.4-15435.1
u 995.1658.9185.6
]= ] ] ][ [ ^ [ [
[ ]= ]" [ " ^(1) ][
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Clculo de los Deformaciones de las Barras
-683.80.0
-494.0e 1666.7
4211.5-8461.5
Clculo de los Esfuerzos en las Barras
-43.20.0
-29.1s 149.1
280.8-520.8
COMPROBACIN
200.00F -350.00
0.000.000.00
Calculando Reacciones
0.000 0.949 0.316 0.000 00 0.000 1.000 0.000 0.000
Ah 0.000 0 0 0 0.882-0.894 0 0 0 0
0 0.667 0.333 -0.667 00 0 0 0 0.615
B A CZ X Y Z X
0 0 0 -0.894427191 00.9486832981 0 0 0 0.6666666667
0.316227766 1 0 0 0.3333333333ahT 0 0 0 0 -0.6666666667
0 0 0.882352941 0 0
]= ][[ [ ]
]= ] ][ [ [
]= ] ][ [ ^ [
[H]= [ _ ] ^ ] [
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0 -1 -0.470588235 0 00 0 0 0 0
-133.33 B z146.15 A x SFx
79.91 yH -187.18 z SFy
-346.15 C x270.09 y SFz320.51 z
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COORDENADAS L k = EA/L UxDx Dy Dz m T/m15 5 0 15.811 0.063 0.9490 13 0 13.000 0.077 0.000
-15 8 0 17.000 0.059 -0.882-5 0 -10 11.180 0.089 -0.447
-10 -5 10 15.000 0.067 -0.667-10 8 10 16.248 0.062 -0.615
APOYOS COORDENADASA 15 5 0B 0 0 0 EJEC 15 -8 0D 5 0 10
123456
00000
0.062
-
-0.615457450.492365960.61545745
00
-0.037878790.030303030.03787879
00
-
0 0 1-1.000 0.000 2-0.471 0.000 3
0 0 40 0 5
-0.492 -0.615 6
Y Z
0000
0.61545745
-
-0.49236596-0.61545745
-200.00
350.00
0.00
-
Uy Uz 0
0.316 0.0001.000 0.0000.471 0.0000.000 -0.894-0.333 0.6670.492 0.615
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EJERCICIO 1EJERCICIO 2