Flexibilidad VigaVec. Desp. RealesV. Desp. VirtualesMatriz de DesplazamientosMatriz de FlexibilidadInversa de la Matriz de Flexibilidad

0--1.4656=1.46561.46560.04670.02729-1=43.73-38.19-0.06-0.87470.81470.81470.027290.03125-38.1965.35Inversa de la Matriz de FlexibilidadMatriz de Desplazamientos

Rby=43.7289-38.1875x1.46561.4656Rcy-38.187565.34840.81470.8147

Rby=32.98TonRcy-2.73Ton

Rigidez Armadura-2x=xa - xby=ya - ybLLLong de la barra =LNxNyFxFy Coordenada Xa=xaAEx2x*y -x2 -x*yNx Coordenada Xb=xbx*yy2 -x*y -y2NyCoordenada ya=yaL -x2 -x*yx2x*yFxCoordenada yb=yb -x*y -y2x*y y2Fy

Matriz de Rigidez Local para la Barra No. 112345678910x=1y=00000000000100000000002Long de la barra =4.57836000.2222222222000-0.22222222220003 Coordenada Xa=00.22222222220-0.22222222220700000000004 Coordenada Xb=4.50000800000000005Coordenada ya=0-0.222222222200.22222222220300000000006Coordenada yb=00000600-0.22222222220000.222222222200070000000000800000000009000000000010Matriz de Rigidez Local para la Barra No. 212345678910x=1y=00000000000100000000002Long de la barra =4.53645000.2222222222-0.22222222220000003 Coordenada Xa=4.50.22222222220-0.22222222220300-0.22222222220.22222222220000004 Coordenada Xb=90000600000000005Coordenada ya=0-0.222222222200.22222222220400000000006Coordenada yb=000005000000000070000000000800000000009000000000010Matriz de Rigidez Local para la Barra No. 312345678910x=1y=00.22222222220000000-0.22222222220100000000002Long de la barra =4.59101200000000003 Coordenada Xa=00.22222222220-0.22222222220900000000004 Coordenada Xb=4.500001000000000005Coordenada ya=4.5-0.222222222200.22222222220100000000006Coordenada yb=4.5000020000000000700000000008-0.222222222200000000.222222222209000000000010Matriz de Rigidez Local para la Barra No. 412345678910x=0y=10000000000100000000002Long de la barra =4.57891000000000003 Coordenada Xa=00000700000000004 Coordenada Xb=000.22222222220-0.2222222222800000000005Coordenada ya=00000900000000006Coordenada yb=4.50-0.222222222200.2222222222100000000000700000000.22222222220-0.22222222228000000000090000000-0.222222222200.222222222210Matriz de Rigidez Local para la Barra No. 512345678910x=0.7075471698y=0.70754716980.07871430780.07871430780000-0.0787143078-0.07871430780010.07871430780.07871430780000-0.0787143078-0.0787143078002Long de la barra =6.36781200000000003 Coordenada Xa=00.07871430780.0787143078-0.0787143078-0.0787143078700000000004 Coordenada Xb=4.50.07871430780.0787143078-0.0787143078-0.0787143078800000000005Coordenada ya=0-0.0787143078-0.07871430780.07871430780.0787143078100000000006Coordenada yb=4.5-0.0787143078-0.07871430780.07871430780.07871430782-0.0787143078-0.078714307800000.07871430780.0787143078007-0.0787143078-0.078714307800000.07871430780.078714307800800000000009000000000010Matriz de Rigidez Local para la Barra No. 612345678910x=0y=10000000000100.2222222222000-0.222222222200002Long de la barra =4.5361200000000003 Coordenada Xa=4.50000300000000004 Coordenada Xb=4.500.22222222220-0.2222222222600000000005Coordenada ya=0000070-0.22222222220000.222222222200006Coordenada yb=4.50-0.222222222200.22222222222000000000070000000000800000000009000000000010Matriz de Rigidez Local para la Barra No. 712345678910x=0.7075471698y=0.70754716980.07871430780.07871430780-0.0787143078-0.07871430780000010.07871430780.07871430780-0.0787143078-0.0787143078000002Long de la barra =6.36124500000000003 Coordenada Xa=4.50.07871430780.0787143078-0.0787143078-0.07871430781-0.0787143078-0.078714307800.07871430780.0787143078000004 Coordenada Xb=90.07871430780.0787143078-0.0787143078-0.07871430782-0.0787143078-0.078714307800.07871430780.0787143078000005Coordenada ya=0-0.0787143078-0.07871430780.07871430780.0787143078400000000006Coordenada yb=4.5-0.0787143078-0.07871430780.07871430780.07871430785000000000070000000000800000000009000000000010MATRIZ DE RIGIDZ GLOBALEcuacin de Compatibilidad

12345678910Q1112Du0.37965083780.15742861560-0.0787143078-0.07871430780-0.0787143078-0.0787143078-0.2222222222010 = AE0.13535635630.0353563563000-0.1-0.0353563563-0.0353563563*D10.15742861560.37965083780-0.0787143078-0.0787143078-0.2222222222-0.0787143078-0.078714307800200.03535635630.13535635630-0.100-0.0353563563-0.0353563563D2Qu2122D000.4444444444-0.222222222200-0.222222222200032000.1353556062-0.03535560620.0353556062-0.0353556062-0.10D3-0.0787143078-0.0787143078-0.22222222220.300936530.0787143078000004-40-0.1-0.03535560620.1353556062-0.03535560620.035355606200D4-0.0787143078-0.078714307800.07871430780.07871430780000050000.0353556062-0.03535560620.1353556062-0.03535560620-0.1D5Donde:0-0.22222222220000.222222222200006Bx-0.10-0.03535560620.0353556062-0.03535560620.1353556062000Q=Cargas Conocidas-0.0787143078-0.0787143078-0.22222222220000.300936530.0787143078007Ax-0.0353563563-0.0353563563-0.10000.13535635630.03535635630D=Desplazamientos Conocidos-0.0787143078-0.078714307800000.07871430780.300936530-0.22222222228Ay-0.0353563563-0.035356356300-0.100.03535635630.13535635630Qu=Cargas Desconocidas-0.222222222200000000.222222222209Du=Desplazamientos Desconocidos0000000-0.222222222200.222222222210k11-1D1 =1/AE17.92903441598.964455076-6.03557599-1.035544924-5.000031066-1.035544924D2-68.6385427308-6.0355759923.10627169783.9644240119.14184768773.96442401Q=11*Du + 12*DD3-2.0709655841-1.0355449243.964424018.9644550764.999968934-1.035544924D4-86.5675771467-5.00003106619.14184768774.99996893424.14187875374.999968934Qu=21*Du + 22*DD5-22.0709655841-1.0355449243.96442401-1.0355449244.9999689348.964455076

Bx =AE-4Fuerza en cada BarraAx2DxAy4q= AE/L -x - y + x + y1DyAEFxFyBarra 117.9290344159q 1= AE/4.5-10101-68.6385427308AE0-22.0709655841q 1=-3.9842298702

Barra 217.9290344159q 2= AE/4.5-10101-68.6385427308AE00q 2=-3.9842298702

Hoja2x=xa - xby=ya - ybLLLong de la barra =LNxNyFxFy Coordenada Xa=xaAEx2x*y -x2 -x*yNx Coordenada Xb=xbx*yy2 -x*y -y2NyCoordenada ya=yaL -x2 -x*yx2x*yFxCoordenada yb=yb -x*y -y2x*y y2Fy

Matriz de Rigidez Local para la Barra No. 1123456780.250-0.25000001x=1y=0000000002-0.2500.25000003Long de la barra =43412000000004 Coordenada Xa=00.250-0.2503000000005 Coordenada Xb=400004000000006Coordenada ya=3-0.2500.2501000000007Coordenada yb=300002000000008

Matriz de Rigidez Local para la Barra No. 2123456780.11807146170.118071461700-0.1180714617-0.1180714617001x=0.7075471698y=0.70754716980.11807146170.118071461700-0.1180714617-0.1180714617002000000003Long de la barra =4.245612000000004 Coordenada Xa=10.11807146170.1180714617-0.1180714617-0.11807146175-0.1180714617-0.1180714617000.11807146170.1180714617005 Coordenada Xb=40.11807146170.1180714617-0.1180714617-0.11807146176-0.1180714617-0.1180714617000.11807146170.1180714617006Coordenada ya=0-0.1180714617-0.11807146170.11807146170.11807146171000000007Coordenada yb=3-0.1180714617-0.11807146170.11807146170.11807146172000000008

Matriz de Rigidez Local para la Barra No. 3123456780.085733882-0.1286008230000-0.0857338820.1286008231x=-0.5555555556y=0.8333333333-0.1286008230.192901234600000.128600823-0.19290123462000000003Long de la barra =3.67812000000004 Coordenada Xa=60.085733882-0.128600823-0.0857338820.1286008237000000005 Coordenada Xb=4-0.1286008230.19290123460.128600823-0.19290123468000000006Coordenada ya=0-0.0857338820.1286008230.085733882-0.1286008231-0.0857338820.12860082300000.085733882-0.1286008237Coordenada yb=30.128600823-0.1929012346-0.1286008230.192901234620.128600823-0.19290123460000-0.1286008230.1929012346812345678123456780.4538053437-0.0105293614-0.250-0.1180714617-0.1180714617-0.0857338820.1286008231120.4538053437-0.0105293614-0.250-0.1180714617-0.1180714617-0.0857338820.1286008231D1-0.01052936140.310972696200-0.1180714617-0.11807146170.128600823-0.1929012346220.78-0.01052936140.310972696200-0.1180714617-0.11807146170.128600823-0.19290123462D2-0.2500.25000003Rax-0.2500.250000030000000004Ray =AE000000004x0-0.1180714617-0.1180714617000.11807146170.1180714617005Rbx-0.1180714617-0.1180714617000.11807146170.11807146170050-0.1180714617-0.1180714617000.11807146170.1180714617006Rby-0.1180714617-0.1180714617000.11807146170.11807146170060-0.0857338820.12860082300000.085733882-0.1286008237Rcx-0.0857338820.12860082300000.085733882-0.128600823700.128600823-0.19290123460000-0.1286008230.19290123468Rcy0.128600823-0.19290123460000-0.1286008230.192901234680D128.01550792972.20532052110.074670918D267.77117625260.0746709183.2182447178Fuerza en cada BarraRax-7.0038769824DxRay0q= AE/L -x - y + x + y1DyRbx-11.3096738105AEFxRby-11.3096738105FyRcx6.313550793Rcy-9.4703261895Barra 103q 1= AE/4-1010104AE28.0155079297167.77117625262q 1=7.0038769824

Rigidez Armadura x=xa - xby=ya - ybLLLong de la barra =LNxNyFxFy Coordenada Xa=xaAEx2x*y -x2 -x*yNx Coordenada Xb=xbx*yy2 -x*y -y2NyCoordenada ya=yaL -x2 -x*yx2x*yFxCoordenada yb=yb -x*y -y2x*y y2Fy

Matriz de Rigidez Local para la Barra No. 112345678x=1y=00.10000-0.1001000000002Long de la barra =101265000000003 Coordenada Xa=00.10-0.101000000004 Coordenada Xb=1000002000000005Coordenada ya=0-0.100.106-0.100000.1006Coordenada yb=000005000000007000000008

Matriz de Rigidez Local para la Barra No. 212345678x=0.7071135624y=0.70711356240.03535635630.03535635630000-0.0353563563-0.035356356310.03535635630.03535635630000-0.0353563563-0.03535635632Long de la barra =14.1421278000000003 Coordenada Xa=00.03535635630.0353563563-0.0353563563-0.03535635631000000004 Coordenada Xb=100.03535635630.0353563563-0.0353563563-0.03535635632000000005Coordenada ya=0-0.0353563563-0.03535635630.03535635630.03535635637000000006Coordenada yb=10-0.0353563563-0.03535635630.03535635630.03535635638-0.0353563563-0.035356356300000.03535635630.03535635637-0.0353563563-0.035356356300000.03535635630.03535635638

Matriz de Rigidez Local para la Barra No. 312345678x=0y=100000000100.10-0.100002Long de la barra =101234000000003 Coordenada Xa=0000010-0.100.100004 Coordenada Xb=000.10-0.12000000005Coordenada ya=000003000000006Coordenada yb=100-0.100.14000000007000000008

Matriz de Rigidez Local para la Barra No. 412345678x=1y=0000000001000000002Long de la barra =103478000.1000-0.103 Coordenada Xa=00.10-0.103000000004 Coordenada Xb=1000004000000005Coordenada ya=10-0.100.107000000006Coordenada yb=100000800-0.10000.107000000008

Matriz de Rigidez Local para la Barra No. 512345678x=0.7071085624y=-0.7071085624000000001000000002Long de la barra =14.14213465000.0353556062-0.03535560620.0353556062-0.0353556062003 Coordenada Xa=00.0353556062-0.0353556062-0.03535560620.0353556062300-0.03535560620.0353556062-0.03535560620.0353556062004 Coordenada Xb=10-0.03535560620.03535560620.0353556062-0.03535560624000.0353556062-0.03535560620.0353556062-0.0353556062005Coordenada ya=10-0.03535560620.03535560620.0353556062-0.0353556062600-0.03535560620.0353556062-0.03535560620.0353556062006Coordenada yb=00.0353556062-0.0353556062-0.03535560620.03535560625000000007000000008

Matriz de Rigidez Local para la Barra No. 612345678x=0y=1000000001000000002Long de la barra =106578000000003 Coordenada Xa=1000006000000004 Coordenada Xb=1000.10-0.1500000.100-0.15Coordenada ya=000007000000006Coordenada yb=100-0.100.180000000070000-0.1000.18MATRIZ DE RIGIDZ GLOBALEcuacin de Compatibilidad

12345678Q1112Du0.13535635630.0353563563000-0.1-0.0353563563-0.035356356313 = AE0.13535635630.0353563563000-0.1-0.0353563563-0.0353563563*D10.03535635630.13535635630-0.100-0.0353563563-0.0353563563200.03535635630.13535635630-0.100-0.0353563563-0.0353563563D2Qu2122D000.1353556062-0.03535560620.0353556062-0.0353556062-0.1030000.1353556062-0.03535560620.0353556062-0.0353556062-0.10D30-0.1-0.03535560620.1353556062-0.03535560620.035355606200400-0.1-0.03535560620.1353556062-0.03535560620.035355606200D4000.0353556062-0.03535560620.1353556062-0.03535560620-0.150000.0353556062-0.03535560620.1353556062-0.03535560620-0.1D5Donde:-0.10-0.03535560620.0353556062-0.03535560620.1353556062006Bx-0.10-0.03535560620.0353556062-0.03535560620.1353556062000Q=Cargas Conocidas-0.0353563563-0.0353563563-0.10000.13535635630.03535635637Ax-0.0353563563-0.0353563563-0.10000.13535635630.03535635630D=Desplazamientos Conocidos-0.0353563563-0.035356356300-0.100.03535635630.13535635638Ay-0.0353563563-0.035356356300-0.100.03535635630.13535635630Qu=Cargas DesconocidasDu=Desplazamientos DesconocidosD1 =AE26.8933652288.964455076-6.03557599-1.035544924-5.000031066-1.035544924D2-18.1067279699-6.0355759923.10627169783.9644240119.14184768773.96442401Q=11*Du + 12*DD3-3.106634772-1.0355449243.964424018.9644550764.999968934-1.035544924D4-15.0000931979-5.00003106619.14184768774.99996893424.14187875374.999968934Qu=21*Du + 22*DD5-3.106634772-1.0355449243.96442401-1.0355449244.9999689348.964455076