pendiente deflexion - vigas

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

UNIDADES DE LONGITUDmUNIDADES DE FUERZAkgINGRESAR DATOS:E2.00E+10E2.00E+10E2.00E+10E2.00E+10I0.004I0.004I0.004I0.006L5.00L8.00L8.00L10.00MEPi-166.67MEPi-640.00MEPi-117.19MEPi-250.00MEPj250.00MEPj426.67MEPj70.31MEPj250.00P=100.00Q=200.00w=200.00a=3.00a=5.00b=5.00b=5.00ABCDEK1 = 2EI/LK2 = 2EI/LK3 = 2EI/LK4 = 2EI/LLLLLMATRIZ DE RIGIDECESGIROS2 MIEMBROMEC. PEND. DEFLEX.2EI/LMEP2K1K1A-(MEPAB)AB2EI/L(2 A + B - 3) + MEP-166.667K12(K1 + K2)K2B-(MEPBA + MEPBC)BA2EI/L( A + 2B - 3) + MEP32,000,000250.000K22(K2 + K3)K3C-(MEPCB + MEPCD)BC2EI/L(2 B + C - 3) + MEP-640.000K32(K3 + K4)K4D-(MEPDC + MEPDE)CB2EI/L( B + 2C - 3) + MEP20,000,000426.667K42K4E-(MEPED)CD2EI/L( 2C+ D - 3) + MEP-117.188DC2EI/L( C+ 2D - 3) + MEP20,000,00070.313DE2EI/L( 2D+ E - 3) + MEP-250.000ED2EI/L( D+ 2E - 3) + MEP24,000,000250.000MATRIZ DE RIGIDECESGIROS2 MIEMBROGIROS64,000,00032,000,000---A166.6671.18E-07A32,000,000104,000,00020,000,000--B390.0004.97E-06B-20,000,00080,000,00020,000,000-C-309.479-6.54E-06C--20,000,00088,000,00024,000,000D179.6885.73E-06D---24,000,00048,000,000E-250.000-8.07E-06E

RESOLVIENDO EL SISTEMA DE ECUACIONES CON METODOS ITERATIVOS - METODOS DE SOBRERELAJACION(k+1) =1.10xi= x(k)i + r(k)iKABCDE(k)(k)-00000r1 = (b1 - a11 x(k)1 - a12 x (k)2 - a13 x(k)3 - a14 x(k)4 - a15 x5) / a11(k)12.86E-063.16E-06-5.12E-063.53E-06-7.67E-06r2 = (b2 - a21 x(k+1)1 - a22 x (k)2 - a23 x(k)3 - a24 x(k)4 - a25 x(k)5 / a22(k)28.43E-074.61E-06-5.98E-065.69E-06-8.09E-06r3 = (b3 - a31 x(k+1)1 - a32 x (k+1)2 - a33 x(k)3 - a34 x(k)4 - a35x (k)5 / a33(k)32.46E-074.85E-06-6.55E-065.74E-06-8.08E-06r4 = (b4 - a41 x(k+1)1 - a42 x (k+1)2 - a43 x(k+1)3 - a44 x(k)4 - a45x(k)5) / a44(k)41.75E-074.97E-06-6.55E-065.73E-06-8.07E-06r5 = (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-06MMATRIZ DE MOMENTOS (DEBIDO A GIROS)MATRIZ DE MOMENTOS (DEBIDO A GIROS)M FINALESAB2K1K164,000,00032,000,000---0.00ABBAK12K132,000,00064,000,000---572.00BABC2K2K2-40,000,00020,000,000---572.00BCCBK22K2-20,000,00040,000,000--264.34CBCD2K3K3--40,000,00020,000,000--264.34CDDCK32K3--20,000,00040,000,000-168.68DCDE2K4K4---48,000,00024,000,000-168.68DEEDK42K4---24,000,00048,000,0000.00ED

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