VIGA

ANALISIS ESTRUCTURAL - VIGA DE 4 LUCES Y 5 APOYOS (METODO PENDIENTE DFLEXION)

UNIDADES DE LONGITUDmUNIDADES DE FUERZAkg

INGRESAR DATOS:E2.00E+10E2.00E+10E2.00E+10E2.00E+10I0.0040I0.0040I0.0040I0.0060L5.00L8.00L8.00L10.00MEPi-166.67MEPi-640.00MEPi-117.19MEPi-250.00MEPj250.00MEPj426.67MEPj70.31MEPj250.00

P=100.00Q=200.00w=200.00a=3.00a=5.00b=5.00b=5.00

A BCDEK1 = 2EI/LK2 = 2EI/LK3 = 2EI/LK4 = 2EI/L

LLLL

MATRIZ DE RIGIDECESGIROS2 MIEMBROMEC. PEND. DEFLEX.2EI/LMEP2K1K1A-(MEPAB)AB2EI/L(2 A + B - 3) + MEP32,000,000-166.667K12(K1 + K2)K2B-(MEPBA + MEPBC)BA2EI/L( A + 2B - 3) + MEP250.000K22(K2 + K3)K3C-(MEPCB + MEPCD)BC2EI/L(2 B + C - 3) + MEP20,000,000-640.000K32(K3 + K4)K4D-(MEPDC + MEPDE)CB2EI/L( B + 2C - 3) + MEP426.667K42K4E-(MEPED)CD2EI/L( 2C+ D - 3) + MEP20,000,000-117.188DC2EI/L( C+ 2D - 3) + MEP70.313DE2EI/L( 2D+ E - 3) + MEP24,000,000-250.000ED2EI/L( D+ 2E - 3) + MEP250.000

MATRIZ DE RIGIDECESGIROS2 MIEMBROGIROS64,000,00032,000,0000.00.00.0A166.6671.18E-07A32,000,000104,000,00020,000,0000.00.0B390.0004.97E-06B0.020,000,00080,000,00020,000,0000.0C-309.479-6.54E-06C0.00.020,000,00088,000,00024,000,000D179.6885.73E-06D0.00.00.024,000,00048,000,000E-250.000-8.07E-06E

RESOLVIENDO EL SISTEMA DE ECUACIONES CON METODOS ITERATIVOS - METODOS DE SOBRERELAJACION =1.10x(k+1)i = x(k)i + r(k)iKABCDE0.000000r(k)1 = (b1 - a11 x(k)1 - a12 x (k)2 - a13 x(k)3 - a14 x(k)4 - a15 x(k)5) / a1112.86E-063.16E-06-5.12E-063.53E-06-7.67E-06r(k)2 = (b2 - a21 x(k+1)1 - a22 x (k)2 - a23 x(k)3 - a24 x(k)4 - a25 x(k)5 / a2228.43E-074.61E-06-5.98E-065.69E-06-8.09E-06r(k)3 = (b3 - a31 x(k+1)1 - a32 x (k+1)2 - a33 x(k)3 - a34 x(k)4 - a35x (k)5 / a3332.46E-074.85E-06-6.55E-065.74E-06-8.08E-06r(k)4 = (b4 - a41 x(k+1)1 - a42 x (k+1)2 - a43 x(k+1)3 - a44 x(k)4 - a45x(k)5) / a4441.75E-074.97E-06-6.55E-065.73E-06-8.07E-06r(k)5 = (b5 - a51 x(k+1)1 - a52 x (k+1)2 - a53 x(k+1)3 - a54 x(k+1)4 - a55x(k)5) / a5551.15E-074.97E-06-6.54E-065.73E-06-8.07E-0661.17E-074.97E-06-6.54E-065.73E-06-8.07E-0671.18E-074.97E-06-6.54E-065.73E-06-8.07E-0681.18E-074.97E-06-6.54E-065.73E-06-8.07E-0691.18E-074.97E-06-6.54E-065.73E-06-8.07E-06101.18E-074.97E-06-6.54E-065.73E-06-8.07E-06

MMATRIZ DE MOMENTOS (DEBIDO A GIROS)MATRIZ DE MOMENTOS (DEBIDO A GIROS)M FINALESAB2K1K164,000,00032,000,0000.00.00.0-0.00ABBAK12K132,000,00064,000,0000.00.00.0572.00BABC2K2K20.040,000,00020,000,0000.00.0-572.00BCCBK22K20.020,000,00040,000,0000.00.0264.34CBCD2K3K30.00.040,000,00020,000,0000.0-264.34CDDCK32K30.00.020,000,00040,000,0000.0168.68DCDE2K4K40.00.00.048,000,00024,000,000-168.68DEEDK42K40.00.00.024,000,00048,000,0000.00ED