Cross -Analisis Estructural I
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Transcript of Cross -Analisis Estructural I
32.65
2 4
6
5.05 112.4 1 5
Portico de dos niveles superioresDatos:
Altura de primer entrepiso (h1) = 2.4 m f´c = 210Altura de segundo entrepiso (h2) = 2.65 m Ec = 2173706512
luz del portico (L1)= 11 mCargas: Secciones:nivel 1 w1 = 3917.5 kg/m F1 = 10000 kg barra 1:nivel 2 w2 = 3917.5 kg/m F2 = 15000 kg barra 2:
I1 =Rigideces: I2 =
K1 = 0.003787879 viga 11m de longitudk2 = 0.036 columna1 2.4m de alturaK3 = 0.032603774 columna2 2.65m de altura
ESTADO 0nudo 1 2 3 4barra 1--2 2--1 2--5 2--3 3--2 3--4 4--3
Cij 0.00 0.50 0.05 0.45 0.90 0.10 0.10MEPij 0.00 0.00 -39501.46 0.00 0.00 -39501.46 39501.46
D 0.00 19643.87 2066.91 17790.68 35389.89 4111.57 -4111.57T 9821.94 0.00 -1033.45 17694.95 8895.34 -2055.78 2055.78D 0.00 -8285.68 -871.81 -7504.01 -6127.65 -711.91 711.91T -4142.84 0.00 435.90 -3063.83 -3752.00 355.95 -355.95D 0.00 1306.85 137.51 1183.56 3042.57 353.48 -353.48T 653.43 0.00 -68.75 1521.28 591.78 -176.74 176.74D 0.00 -722.34 -76.00 -654.19 -371.84 -43.20 43.20
Mij 6332.53 11942.71 -38911.16 26968.45 37668.09 -37668.09 37668.095972.4 11944.8 38873 26928.2 37629 37629 37629
M56 81513994 M54 60551970
1
43
210000 kg
5
6
20000 kg
ESTADO 1nudo 1 2 3 4barra 1--2 2--1 2--5 2--3 3--2 3--4 4--3Cij 0.00 0.50 0.05 0.45 0.90 0.10 0.10MEPij -81513994.2 -81513994 0 60551970 60551970 0 0D 0 10424308 1096834 9440882.6 -54249329 -6302641 -6302641.072629T 5212153.918 0 548416.87 -27124664 4720441.3 -3151321 -3151320.536315D 0 13216233 1390597 11969418 -1405797 -163324.2 -163324.2462938T 6608116.289 0 695298.43 -702898.25 5984709.1 -81662.12 -81662.12314688D 0 3779.35154 397.65904 3422.8089 -5288620 -614427.3 -614427.3463563T 1889.675772 0 198.82952 -2644310 1711.4045 -307213.7 -307213.6731782D 0 1314902.92 138352.58 1190855.5 273703.61 31798.654 31798.65402714Mij -69691834.3 -56554772 3870095 52684677 10588790 -10588790 -10588790.34389
M 60551970ESTADO 2
nudo 1 2 3 4barra 1--2 2--1 2--5 2--3 3--2 3--4 4--3Cij 0.00 0.50 0.05 0.45 0.90 0.10 0.10MEPij 0 0 0 -60551970 -60551970 0 0D 0 30112186 3168370 27271414 54249329 6302641 6302641.0726294T 15056093.14 0 1584185 27124664 13635707 3151321 3151320.5363147D 0 -14276765 -1502185 -12929900 -15039725 -1747303 -1747302.509426T -7138382.28 0 -751092.4 -7519863 -6464950 -873651.3 -873651.2547129D 0 4113103.76 432776.07 3725075.1 6574752.1 763849.13 763849.1298388T 2056551.878 0 216388 3287376.1 1862537.6 381924.56 381924.5649194D 0 -1742404 -183333.8 -1578026 -2010844 -233618.1 -233618.1481495Mij 9974262.739 18206121 2965108 -21171229 -7745163 7745163 7745163.3914141
kg/cm2kg/m2
base (m) altura (m)0.6 1.2 columna0.5 1 viga
0.0864 columna0.0416667 viga
5 64--5 5--4 5--2 5--6 6--50.90 0.45 0.05 0.50 0.000.00 0.00 39501.46 0.00 0.00 M1 M2 M3 M4 M5
-35389.89 -17790.68 -2066.91 -19643.87 0.00 0 39501.46 39501.46 -39501.46 -39501.46-8895.34 -17694.95 1033.45 0.00 -9821.946127.65 7504.01 871.81 8285.68 0.00 0 -16661.49 -6839.56 6839.56 16661.493752.00 3063.83 -435.90 0.00 4142.84-3042.57 -1183.56 -137.51 -1306.85 0.00 0 2627.92 3396.05 -3396.05 -2627.92-591.78 -1521.28 68.75 0.00 -653.43371.84 654.19 76.00 722.34 0.00 0 -1452.53 -415.04 415.04 1452.53
-37668.09 -26968.45 38911.16 -11942.71 -6332.5337629 26928 38873 11944 5972
4
5
5 64--5 5--4 5--2 5--6 6--50.90 0.45 0.05 0.50 0.00
60551970 60551970 0 -81513994 -81513994 M1 M2 M3 M4 M5-54249329 9440882.6 1096834 10424308 0 0 20962024-60551970 -60551970 209620244720441.3 -27124664 548416.87 0 5212153.9
-1405797 11969418 1390597 13216233 0 0 26576248 -1569121 -1569121 265762485984709.1 -702898.25 695298.43 0 6608116.3
-5288620 3422.8089 397.65904 3779.3515 0 0 7599.8195 -5903047 -5903047 7599.81951711.4045 -2644310 198.82952 0 1889.6758273703.61 1190855.5 138352.58 1314902.9 0 0 2644111 305502.3 305502.27 264411110588790 52684677 3870095 -56554772 -69691834
5 64--5 5--4 5--2 5--6 6--50.90 0.45 0.05 0.50 0.00
-60551970 -60551970 0 0 0 M1 M2 M3 M4 M554249329 27271414 3168370 30112186 0 0 60551970 60551970 60551970 6055197013635707 27124664 1584185 0 15056093
-15039725 -12929900 -1502185 -14276765 0 0 -28708849-16787028 -16787028 -28708849-6464950 -7519863 -751092.4 0 -7138382
6574752.1 3725075.1 432776.07 4113103.8 0 0 8270955 7338601 7338601 82709551862537.6 3287376.1 216388 0 2056551.9
-2010844 -1578026 -183333.8 -1742404 0 0 -3503764 -2244462 -2244462 -3503764-7745163 -21171229 2965108 18206121 9974262.7
M60
0
0
0
M60
0
0
0
M60
0
0
0
Portico de dos niveles superioresDatos:
Altura de primer entrepiso (h1) = 2.6 mAltura de segundo entrepiso (h2) = 2.6 m
luz del portico (L1)= 11 mCargas:nivel 1 w1 = 3917.5 kg/m F1 = 10000nivel 2 w2 = 3917.5 kg/m F2 = 15000
Rigideces:K1 = 0.00378787879 vigak2 = 0.03323076923 columna1K3 = 0.03323076923 columna2
ESTADO 0nudo 1 2 3barra 1--2 2--1 2--5 2--3 3--2
Cij 0.00 0.47 0.05 0.47 0.90MEPij 0.00 0.00 -39501.46 0.00 0.00
D 0.00 18685.76 2129.94 18685.76 35459.53T 9342.88 0.00 -1064.97 17729.76 9342.88D 0.00 -7883.11 -898.57 -7883.11 -6572.71T -3941.56 0.00 449.29 -3286.36 -3941.56D 0.00 1342.05 152.98 1342.05 3201.97T 671.02 0.00 -76.49 1600.99 671.02D 0.00 -721.15 -82.20 -721.15 -438.54
Mij 6072.35 11423.55 -38891.49 27467.94 37722.59V32= 25073.282733973 R02= -15000V45= -25073.28273397
1
3
210000 kg
15000 kg
V21= 6729.1908857706 R01= -10000V56= -6729.190885771
ESTADO 1nudo 1 2 3barra 1--2 2--1 2--5 2--3 3--2
Cij 0.00 0.47 0.05 0.47 0.90MEPij -166693706 -166693706.477 166693706.48 166693706.48
D 0.00 0.00 0.00 0.00 -149637017.79T 0.00 0.00 0.00 -74818508.90 0.00D 0.00 35392131.36 4034246.17 35392131.36 7655694.03T 17696065.68 0.00 2017123.09 3827847.02 17696065.68D 0.00 -2764903.40 -315163.30 -2764903.40 -16277020.57T -1382451.70 0.00 -157581.65 -8138510.29 -1382451.70D 0.00 3924381.55 447328.84 3924381.55 2073755.47
Mij -150380092.50 -130142096.97 6025953.15 124116143.82 26822731.60V32= 58053413.621273 r21= -116106827.24V45= 58053413.621273V21= -107893149.7955 r11= 331893126.834V56= -107893149.7955
ESTADO 2nudo 1 2 3barra 1--2 2--1 2--5 2--3 3--2
Cij 0.00 0.47 0.05 0.47 0.90MEPij -166693706 -166693706.48
D 0.00 78852755.07 8988196.34 78852755.07 149637017.79T 39426377.53 0.00 8988196.34 74818508.90 39426377.53D 0.00 -39643905.82 -4518893.59 -39643905.82 -43047825.39T -19821952.91 0.00 -2138284.94 -21523912.70 -19821952.91D 0.00 11193160.88 1275875.87 11193160.88 21806827.38T 5596580.44 0.00 1118294.22 10903413.69 5596580.44D 0.00 -5686746.12 -648215.66 -5686746.12 -5998137.02
Mij 25201005.06 44715264.00 13065168.58 -57780432.59 -19094818.66V32= -29567404.32496 r22= 30738040.08V45= -1170635.758247V21= 26890872.71863 r12= -8213677.447V56= -49415235.35484
r11 r12r21 r22
331893126.834 -8213677.447-116106827.24 30738040.08
3.3237212E-09 8.8814946E-10
1.2554695E-08 3.5887786E-08
ESTADO 1nudo 1 2 3barra 1--2 2--1 2--5 2--3 3--2Cij 0.00 0.50 0.05 0.45 0.90MEPij 25073.282734 25073.282733973 0 0 0D 0 -11860.66027327 -1351.9621874343 -11860.660273 0T -5930.3301366 0 -675.98109371713 0 -5930.3301366D 0 319.76595122379 36.4491912695468 319.765951224 5323.51781549T 159.882975612 0 18.2245956347734 2661.75890775 159.882975612D 0 -1267.738820195 -144.50586299219 -1267.7388202 -415.88375577T -633.8694101 0 -72.252931496094 -207.94187789 -633.8694101D 0 132.54329238311 15.1082246157798 132.543292383 590.287000939Mij 18668.9661629 12397.192884116 -2174.9200641196 -10222.27282 -906.39551046
M 0ESTADO 2
nudo 1 2 3
barra 1--2 2--1 2--5 2--3 3--2Cij 0.00 0.50 0.05 0.45 0.90MEPij 0 0 0 0 0D 0 0 0 0 0T 0 0 0 0 0D 0 0 0 0 0T 0 0 0 0 0D 0 0 0 0 0T 0 0 0 0 0D 0 0 0 0 0Mij 0 0 0 0 0
f´c = 210 kg/cm2Ec = 2173706511.9 kg/m2
Secciones: base (m) altura (m)kg tipo1 0.6 1.2 columnaskg tipo2 0.5 1 vigas
I1 = 0.0864 columnaI2 = 0.04166666667 viga
4 53--4 4--3 4--5 5--4 5--2 5--60.10 0.10 0.90 0.47 0.05 0.47
-39501.46 39501.46 0.00 0.00 39501.46 0.004041.93 -4041.93 -35459.53 -18685.76 -2129.94 -18685.76-2020.96 2020.96 -9342.88 -17729.76 1064.97 0.00-749.20 749.20 6572.71 7883.11 898.57 7883.11374.60 -374.60 3941.56 3286.36 -449.29 0.00364.98 -364.98 -3201.97 -1342.05 -152.98 -1342.05-182.49 182.49 -671.02 -1600.99 76.49 0.00-49.99 49.99 438.54 721.15 82.20 721.15
-37722.59 37722.59 -37722.59 -27467.94 38891.49 -11423.55
4
5
6
R2
R1
4 53--4 4--3 4--5 5--4 5--2 5--60.10 0.10 0.90 0.47 0.05 0.47
166693706.48 166693706.48 -166693706.48-17056688.69 -17056688.69 -149637017.79 0.00 0.00 0.00-8528344.34 -8528344.34 0.00 -74818508.90 0.00 0.00872650.31 872650.31 7655694.03 35392131.36 4034246.17 35392131.36436325.15 436325.15 17696065.68 3827847.02 2017123.09 0.00
-1855370.26 -1855370.26 -16277020.57 -2764903.40 -315163.30 -2764903.40-927685.13 -927685.13 -1382451.70 -8138510.29 -157581.65 0.00236381.36 236381.36 2073755.47 3924381.55 447328.84 3924381.55
-26822731.60 -26822731.60 26822731.60 124116143.82 6025953.15 -130142096.97
4 53--4 4--3 4--5 5--4 5--2 5--60.10 0.10 0.90 0.47 0.05 0.47
-166693706.48 -166693706.48 -166693706.4817056688.69 17056688.69 149637017.79 157705510.14 17976392.68 157705510.148528344.34 8528344.34 78852755.07 74818508.90 4494098.17 0.00-4906896.48 -8941142.66 -78439956.76 -37518018.59 -4276569.88 -37518018.59-4470571.33 -2453448.24 -18759009.30 -39219978.38 -2259446.79 0.002485696.86 2170533.56 19041923.98 19621418.36 2236588.44 19621418.361085266.78 1242848.43 9810709.18 9520961.99 637937.94 0.00-683710.20 -1131039.05 -9922518.57 -4805563.84 -547772.25 -4805563.84
19094818.66 16472785.08 -16472785.08 13429132.10 18261228.30 -31690360.40
Z1=Z2=
z1 R01z2 R02
-10000-15000
-10000 -4.655945E-05
-15000 -0.0006638637
z1 -4.655945E-05z2 -0.0006638637
4 53--4 4--3 4--5 5--4 5--2 5--60.10 0.10 0.90 0.45 0.05 0.50
0 0 0 0 0 25073.282733970 0 0 -11860.660273 -1351.9621874 -11860.66027330 0 -5930.3301366 0 -675.98109372 0
606.81232114 606.81232114 5323.51781549 319.765951224 36.44919127 319.7659512238303.40616057 303.40616057 159.882975612 2661.75890775 18.224595635 0-47.40538041 -47.40538041 -415.88375577 -1267.7388202 -144.50586299 -1267.73882019
-23.702690205 -23.702690205 -633.8694101 -207.94187789 -72.252931496 067.285099363 67.285099363 590.287000939 132.543292383 15.108224616 132.5432923831906.39551046 906.39551046 -906.39551046 -10222.27282 -2174.9200641 12397.19288412
4 5
3--4 4--3 4--5 5--4 5--2 5--60.10 0.10 0.90 0.45 0.05 0.50
0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0
66--50.000.00 M1 M2 M3 M4 M5 M60.00 0 39501.46 39501.46 -39501.46 -39501.46 0
-9342.880.00 0 -16664.80 -7321.92 7321.92 16664.80 0
3941.560.00 0 2837.07 3566.95 -3566.95 -2837.07 0
-671.020.00 0 -1524.50 -488.53 488.53 1524.50 0
-6072.35
66--50.00
-166693706.48 M1 M2 M3 M4 M5 M60.00 0 0.00 -166693706.48 -166693706.48 0.00 00.000.00 0 ### 8528344.34 8528344.34 74818508.90 0
17696065.680.00 0 ### -18132390.83 -18132390.83 -5844970.10 0
-1382451.700.00 0 ### 2310136.83 2310136.83 8296091.94 0
-150380092.50
66--50.00
-166693706.48 M1 M2 M3 M4 M5 M60.00 0 ### 166693706.48 166693706.48 333387412.95 0
78852755.070.00 0 ### -47954721.88 -87381099.41 -79312607.06 0
-18759009.300.00 0 ### 24292524.24 21212457.54 41479425.17 0
9810709.180.00 0 ### -6681847.22 -11053557.61 -10158899.92 0
-96789251.52
66--50.00
25073.28273397 M1 M2 M3 M4 M5 M60 0 -25073.28 0 0 -25073.282734 0
-5930.330136630 0 675.98109 5930.33013663 5930.33013663 675.98109372 0
159.88297561190 0 -2679.984 -463.28913618 -463.28913618 -2679.9835034 0
-633.8694100970 0 280.19481 657.572100303 657.572100303 280.19480938 0
18668.96616285
6
6--50.00
0 M1 M2 M3 M4 M5 M60 0 0 0 0 0 000 0 0 0 0 0 000 0 0 0 0 0 000 0 0 0 0 0 00
PORTICO DE DOS CRUJIAS
Datos:Altura de primer entrepiso (h1) = 2.4 m
luz portico2 (L1)= 6 mluz portico1 (L2)= 7 m
Cargas:w1 = 1000 kg/m F1 = 10000w2 = 2000 kg/m
Rigideces:K1 = 0.00694444444 barra1-2k2 = 0.036 barra2-3K3 = 0.00595238095 barra3-5
ESTADO 0nudo 1 2 3barra 1--2 2--1 2--3 3--2 3--4
Cij 0.000 0.162 0.838 0.736 0.142MEPij 0.000 0.000 -3000.000 3000.000 0.000
D 0.000 485.123 2514.877 3803.928 733.782T 242.561 0.000 1901.964 1257.439 0.000D 0.000 -307.562 -1594.402 270.121 52.107T -153.781 0.000 135.061 -797.201 0.000D 0.000 -21.840 -113.220 19.182 3.700T -10.920 0.000 9.591 -56.610 0.000D 0.000 -1.551 -8.040 1.362 0.263
Mij 77.860 154.170 -154.170 7498.221 789.852V2 = 96.68V3= 493.60V5= -3723.33 R0p= -6866.956
-3133.044ESTADO 1
1 4
32
K1
K2
K1
1 4
32F1 = 10000 kg
K1
tipo1tipo1v
tipo2
nudo 1 2 3barra 1--2 2--1 2--3 3--2 3--4
Cij 0.000 0.162 0.838 0.736 0.142MEPij -81513994.197 -81513994.197 0.000 0.000 -81513994.197
D 0.000 13181435.025 68332559.172 60014198.617 11576813.005T 6590717.513 0.000 30007099.308 34166279.586 0.000D 0.000 -4852376.990 -25154722.318 -4261680.230 -822083.378T -2426188.495 0.000 -2130840.115 -12577361.159 0.000D 0.000 344573.110 1786267.004 302627.025 58377.127T 172286.555 0.000 151313.512 893133.502 0.000D 0.000 -24468.550 -126844.963 -21489.908 -4145.430
Mij -77177178.625 -72864831.602 72864831.602 78515707.433 -70705032.873Z x Mij -3118.5985774 -2944.34396573 2944.34396573 3172.68625089 -2857.070171
V2 = -62517504.261V3= -61171864.039V5= -46249878.051 r11= 169939246.351
-169939246.351MIJ= -3040.74 -2790.17 2790.17 10670.91 -2067.22
f´c = 210 kg/cm2Ec = 2173706511.93 kg/m2
Secciones: base (m) altura (m) Inercia (m4) EIkg tipo 1: 0.6 1.2 0.086 187808242.63
tipo 2: 0.5 1 0.042 90571104.664
4 5 63--5 4--3 5--3 5--6 6--5
0.122 0.000 0.462 0.538 0.000-8166.667 0.000 8166.667 0.000 0.000 M1628.956 0.000 -3769.231 -4397.436 0.000 0.000
-1884.615 366.891 314.478 0.000 -2198.71844.663 0.000 -1014.793 -1183.925 0.000 242.561
-507.396 26.053 22.331 0.000 -591.9633.172 0.000 -273.213 -318.749 0.000 -153.781
-136.607 1.850 1.586 0.000 -159.3750.225 0.000 -73.557 -85.817 0.000 -10.920
-10018.269 394.795 3374.267 -5985.927 -2950.055
5
4
3
6
K3
K1
5
4
3
6
tipo1 tipo1
tipo2
4 5 63--5 4--3 5--3 5--6 6--5
0.122 0.000 0.462 0.538 0.0000.000 -81513994.197 0.000 -81513994.197 -81513994.197 M1
9922982.576 0.000 37621843.476 43892150.722 0.000 81513994.19718810921.738 5788406.502 4961491.288 0.000 21946075.361-704642.895 0.000 -10128957.859 -11817117.502 0.000 -6590717.513
-5064478.929 -411041.689 -352321.448 0.000 -5908558.75150037.537 0.000 2727027.116 3181531.635 0.000 2426188.495
1363513.558 29188.563 25018.769 0.000 1590765.818-3553.226 0.000 -734199.608 -856566.209 0.000 -172286.555
24374780.358 -76107440.820 34119901.733 -47113995.552 -63885711.770984.94343412 -3075.3722914 1378.72722096 -1903.7964606 -2581.5129989
Z1= 4.04083E-05
-9033.33 -2680.58 4752.99 -7889.72 -5531.57
columnasvigas
M2 M3 M4 M5 M63000.000 5166.667 0.000 -8166.667 0.000
-1901.964 627.177 366.891 -314.478 -2198.718
-135.061 1304.597 26.053 -22.331 -591.963
-9.591 193.217 1.850 -1.586 -159.375
M2 M3 M4 M5 M681513994.197 81513994.197 81513994.197 81513994.197 81513994.197
-30007099.308 -52977201.324 -5788406.502 -4961491.288 ###
2130840.115 17641840.088 411041.689 352321.448 5908558.751
-151313.512 -2256647.060 -29188.563 -25018.769 -1590765.818