CALCULO-MATRICIAL

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Análisis Matricial de Estructuras.

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Hoja1

1) Esquema Estructural.

2) Datos Iniciales.

E=200000kg/cm2G=88000

5569.355

252525

=1.2

* Frmulas a Utilizar:BARRA 1L=600cmA=1375cm2I=346614.583cm4=0.02291667

BARRA 2L=600cmA=1732.5cm2I=693359.494cm4=0.0363825

BARRA 3L=750cmA=1375cm2I=346614.583cm4=0.0146667

3) Determinacin de ejes globales:

4) Relacin entre E.G y E.L

seno90=1seno0=0seno 307-0.79863551=307coseno90=0coseno01coseno 307=0.6018150232=5.3581608036En Radianes=90=0=1.5707963268En Radianes=0En Radianes010000-100000A1=001000000010000-1005) Anlisis en C.L000001

5.1 Matriz de Rigidez en Coordenadas Locales (K)1234562.2900-2.2900110000000.025.650-0.025.65201000005.652271.940-5.651116.563E=200000Kg/cm2001000-2.29002.29004A2=0001000-0.02-5.6500.02-5.65500001005.651116.560-5.652271.946000001

4567890.6018150232-0.7986355100002.8900-2.890040.798635510.6018150232000000.0411.150-0.0411.155001000011.154500.690-11.152189.506E=200000Kg/cm2A3=0000.6018150232-0.798635510-2.89002.890070000.798635510.601815023200-0.04-11.1500.04-11.158000001011.152189.500-11.154500.699

7891011121.8300-1.8300700.013.640-0.013.64803.641828.570-3.64904.269E=200000Kg/cm2-1.83001.8300100-0.01-3.6400.01-3.641103.64904.260-3.641828.5712

5.2 Fuerzas de fijacion en C.L00-100000100000F10A1.transp=00100000000-1000001000000001

03000100000F230000001000000010003000A2.transp=000100-300000000010000001

00.60181502320.7986355100000-0.798635510.60181502320000F30A3.transp.=00100000000.60181502320.7986355100000-0.798635510.601815023200000001

6) Analisis de Corrdenadas Globales

6.1. Matriz de Rigidez en C.G

AT*K:0-0.0188249604-5.6474881195-00.0188249604-5.64748811952.887500-2.8875001.10332754240.00776013922.9100521898-1.1033275424-0.00776013922.91005218982.291666666700-2.2916666667-0000.037167717411.1503152190-0.037167717411.150315219-1.46416510180.00584768432.19288161361.4641651018-0.00584768432.192881613605.64748811952271.93740806740-5.64748811951116.555463623011.1503152194500.6937219630-11.1503152192189.49540946303.64378011391828.57032048470-3.6437801139904.2647649292-00.01882496045.64748811950-0.01882496045.6474881195-2.8875002.887500-1.1033275424-0.0077601392-2.91005218981.10332754240.0077601392-2.9100521898-2.2916666667-0-02.29166666670-00-0.0371677174-11.15031521900.0371677174-11.1503152191.4641651018-0.0058476843-2.1928816136-1.46416510180.0058476843-2.192881613605.64748811951116.5554636230-5.64748811952271.9374080674011.1503152192189.4954094630-11.1503152194500.69372196303.6437801139904.26476492920-3.64378011391828.5703204847

AT*K*A=K1234564567897891011120.01882496040-5.6474881195-0.0188249604-0-5.647488119512.887500-2.88750040.6701966132-0.87648638632.9100521898-0.67019661320.87648638632.9100521898702.29166666670-0-2.29166666670200.037167717411.1503152190-0.037167717411.1503152195-0.87648638631.17285346712.19288161360.8764863863-1.17285346712.19288161368-5.647488119502271.93740806745.6474881195-01116.5554636233011.1503152194500.6937219630-11.1503152192189.49540946362.91005218982.19288161361828.5703204847-2.9100521898-2.1928816136904.26476492929-0.0188249604-05.64748811950.018824960405.64748811954-2.8875002.8875007-0.67019661320.8764863863-2.91005218980.6701966132-0.8764863863-2.910052189810-0-2.2916666667-002.2916666667-050-0.0371677174-11.15031521900.0371677174-11.15031521980.8764863863-1.1728534671-2.1928816136-0.87648638631.1728534671-2.192881613611-5.647488119501116.5554636235.6474881195-02271.93740806746011.1503152192189.4954094630-11.1503152194500.69372196392.91005218982.1928816136904.2647649292-2.9100521898-2.19288161361828.570320484712

Matriz Total o Ensamblada

1234567891011120.01882496040-5.6474881195-0.0188249604-0-5.6474881195000000102.29166666670-0-2.291666666700000002-5.64748811953.4595E-162271.93740806745.6474881195-01116.5554636230000003-0.0188249604-05.64748811952.906324960405.6474881195-2.8875000004-0-2.2916666667-002.328834384111.1503152190-0.037167717411.1503152190005-5.647488119501116.5554636235.647488119511.1503152196772.63113003040-11.1503152192189.4954094630006600-2.8875003.5576966132-0.87648638632.9100521898-0.67019661320.87648638632.910052189870000-0.0371677174-11.150315219-0.87648638631.2100211845-8.95743360540.8764863863-1.17285346712.19288161368000011.1503152192189.4954094632.9100521898-8.95743360546329.2640424477-2.9100521898-2.1928816136904.26476492929000000-0.67019661320.8764863863-2.91005218980.6701966132-0.8764863863-2.9100521898100000000.8764863863-1.1728534671-2.1928816136-0.87648638631.1728534671-2.1928816136110000002.91005218982.1928816136904.2647649292-2.9100521898-2.19288161361828.570320484712

306-300002110-011061167730-1121890-3004-1330-0-11-11-9201121893-96329904000329041829