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Contenido elegido para ti
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BARRA 1 Nodo X Y Elemento A I BARRA 1 1 0 0 Viga 0.2 0.0072 2 0 22 Columna 0.16 0.0021333333 3 11.2 22 E 20000000.00 tn/m2 4 11.2 0 A 0.16 m2 0 0 I 0.0021333333 m4 0 0 0 0 Nodo X Y 0 0 Inicio 1 0 0 Final 2 0 22 L 22 α Datos-Matriz cos(α) 0 AE 3200000 L^3 10648 sen(α) 1 EI 42666.6666666667 L^2 484 L 22 Matriz de rigidez en coordenadas locales x'1 y'1 θ'1 x'2 y'2 θ'2 x'1 145454.545454545 0 0 -145454.545454545 0 0 y'1 0 48.0841472577 528.9256198347 0 -48.0841472577 528.9256198347 [k] θ'1 0 528.9256198347 7757.5757575758 0 -528.9256198347 3878.7878787879 x'2 -145454.545454545 0 0 145454.545454545 0 0 y'2 0 -48.0841472577 -528.9256198347 0 48.0841472577 -528.9256198347 θ'2 0 528.9256198347 3878.7878787879 0 -528.9256198347 7757.5757575758 Matriz de transformación coordenadas 0 -1 0 0 0 0 1 0 0 0 0 0 [H] 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 0 1 0 0 0 0 0 0 0 1 Matriz de rigidez en coordenadas locales X'1 Y'1 Ɵ'1 X'2 Y'2 Ɵ'2 X'1 48.0841472577 0 -528.9256198347 -48.0841472577 0 -528.9256198347 Y'1 0 145454.545454545 0 0 -145454.545454545 0 [K] Ɵ'1 -528.9256198347 0 7757.5757575758 528.9256198347 0 3878.7878787879 X'2 -48.0841472577 0 528.9256198347 48.0841472577 0 528.9256198347 Y'2 0 -145454.545454545 0 0 145454.545454545 0 Ɵ'2 -528.9256198347 0 3878.7878787879 528.9256198347 0 7757.5757575758 BARRA 2 Nodo X Y Elemento A I BARRA 2 1 0 0 Viga 0.2 0.0072 2 0 22 Columna 0.16 0.0021333333 3 11.2 22 E 20000000.00 tn/m2 4 11.2 0 A 0.2 m2 0 0 I 0.0072 m4 0 0 0 0 Nodo X Y 0 0 Inicio 3 11.2 22 Final 4 11.2 0 L 22 α Datos-Matriz cos(α) 0 AE 4800000 L^3 10648 sen(α) -1 EI 144000 L^2 484 L 22 Matriz de rigidez en coordenadas locales x'3 y'3 θ'3 x'4 y'4 θ'4 x'3 218181.818181818 0 0 -218181.818181818 0 0 y'3 0 162.2839969947 1785.1239669421 0 -162.2839969947 1785.1239669421 [k] θ'3 0 1785.1239669421 26181.8181818182 0 -1785.1239669421 13090.9090909091 x'4 -218181.818181818 0 0 218181.818181818 0 0 y'4 0 -162.2839969947 -1785.1239669421 0 162.2839969947 -1785.1239669421 θ'4 0 1785.1239669421 13090.9090909091 0 -1785.1239669421 26181.8181818182 Matriz de transformación coordenadas 0 1 0 0 0 0 -1 0 0 0 0 0 [H] 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 0 0 0 1 Matriz de rigidez en coordenadas locales X'3 Y'3 Ɵ'3 X'4 Y'4 Ɵ'4 X'3 162.2839969947 0 1785.1239669421 -162.2839969947 0 1785.1239669421 Y'3 0 218181.818181818 0 0 -218181.818181818 0 [K] Ɵ'3 1785.1239669421 0 26181.8181818182 -1785.1239669421 0 13090.9090909091 X'4 -162.2839969947 0 -1785.1239669421 162.2839969947 0 -1785.1239669421 Y'4 0 -218181.818181818 0 0 218181.818181818 0 Ɵ'4 1785.1239669421 0 13090.9090909091 -1785.1239669421 0 26181.8181818182 BARRA 3 Nodo X Y Elemento A I BARRA 3 1 0 0 Viga 0.2 0.0072 2 0 22 Columna 0.16 0.0021333333 3 11.2 22 E 20000000.00 tn/m2 4 11.2 0 A 0.16 m2 0 0 I 0.0021333333 m4 0 0 0 0 Nodo X Y 0 0 Inicio 2 0 22 Final 3 11.2 22 L 11.2 α Datos-Matriz cos(α) 1 AE 3200000 L^3 1404.928 sen(α) 0 EI 42666.6666666667 L^2 125.44 L 11.2 Matriz de rigidez en coordenadas locales x'2 y'2 θ'2 x'3 y'3 θ'3 x'2 285714.285714286 0 0 -285714.285714286 0 0 y'2 0 364.4314868805 2040.8163265306 0 -364.4314868805 2040.8163265306 [k] θ'2 0 2040.8163265306 15238.0952380952 0 -2040.8163265306 7619.0476190476 x'3 -285714.285714286 0 0 285714.285714286 0 0 y'3 0 -364.4314868805 -2040.8163265306 0 364.4314868805 -2040.8163265306 θ'3 0 2040.8163265306 7619.0476190476 0 -2040.8163265306 15238.0952380952 Matriz de transformación coordenadas 1 0 0 0 0 0 0 1 0 0 0 0 [H] 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 Matriz de rigidez en coordenadas locales X'2 Y'2 Ɵ'2 X'3 Y'3 Ɵ'3 X'2 285714.285714286 0 0 -285714.285714286 0 0 Y'2 0 364.4314868805 2040.8163265306 0 -364.4314868805 2040.8163265306 [K] Ɵ'2 0 2040.8163265306 15238.0952380952 0 -2040.8163265306 7619.0476190476 X'3 -285714.285714286 0 0 285714.285714286 0 0 Y'3 0 -364.4314868805 -2040.8163265306 0 364.4314868805 -2040.8163265306 Ɵ'3 0 2040.8163265306 7619.0476190476 0 -2040.8163265306 15238.0952380952 BARRA 4 Nodo X Y Elemento A I BARRA 4 1 0 0 Viga 0.2 0.0072 2 0 22 Columna 0.16 0.0021333333 3 11.2 22 Diagonal 0.49 0.0200083333 E 20000000.00 tn/m2 4 11.2 0 A 0.16 m2 0 0 I 0.0200083333 m4 0 0 0 0 Nodo X Y 0 0 Inicio 2 0 22 Final 4 11.2 0 L 24.6868385987 α Datos-Matriz cos(α) 0.4536830407 AE 3200000 L^3 15045.1469156132 sen(α) -0.8911631156 EI 400166.666666667 L^2 609.44 L 24.6868385987 Matriz de rigidez en coordenadas locales x'2 y'2 θ'2 x'4 y'4 θ'4 x'2 129623.725905672 0 0 -129623.725905672 0 0 y'2 0 319.1726891691 3939.6823313206 0 -319.1726891691 3939.6823313206 [k] θ'2 0 3939.6823313206 64838.8678957328 0 -3939.6823313206 32419.4339478664 x'4 -129623.725905672 0 0 129623.725905672 0 0 y'4 0 -319.1726891691 -3939.6823313206 0 319.1726891691 -3939.6823313206 θ'4 0 3939.6823313206 32419.4339478664 0 -3939.6823313206 64838.8678957328 Matriz de transformación coordenadas 0.4536830407 0.8911631156 0 0 0 0 -0.8911631156 0.4536830407 0 0 0 0 [H] 0 0 1 0 0 0 0 0 0 0.4536830407 0.8911631156 0 0 0 0 -0.8911631156 0.4536830407 0 0 0 0 0 0 1 Matriz de rigidez en coordenadas locales X'2 Y'2 Ɵ'2 X'4 Y'4 Ɵ'4 X'2 26933.709239901 -52278.5539389378 3510.8995808598 -26933.709239901 52278.5539389378 3510.8995808598 Y'2 -52278.5539389378 103009.18935494 1787.3670593468 52278.5539389378 -103009.18935494 1787.3670593468 [K] Ɵ'2 3510.8995808598 1787.3670593468 64838.8678957328 -3510.8995808598 -1787.3670593468 32419.4339478664 X'4 -26933.709239901 52278.5539389378 -3510.8995808598 26933.709239901 -52278.5539389378 -3510.8995808598 Y'4 52278.5539389378 -103009.18935494 -1787.3670593468 -52278.5539389378 103009.18935494 -1787.3670593468 Ɵ'4 3510.8995808598 1787.3670593468 32419.4339478664 -3510.8995808598 -1787.3670593468 64838.8678957328 matriz ensamblada X'1 Y'1 Ɵ'1 X'2 Y'2 Ɵ'2 X'3 Y'3 Ɵ'3 X'4 Y'4 Ɵ'4 X'1 48.0841472577 0 -528.9256198347 -48.0841472577 0 -528.9256198347 Y'1 0 145454.545454545 0 0 -145454.545454545 0 Ɵ'1 -528.9256198347 0 7757.5757575758 528.9256198347 0 3878.7878787879 X'2 -48.0841472577 0 528.9256198347 312696.079101444 -52278.5539389378 4039.8252006945 -285714.285714286 0 0 -26933.709239901 52278.5539389378 3510.8995808598 Y'2 0 -145454.545454545 0 -52278.5539389378 248828.166296366 3828.1833858774 0 -364.4314868805 2040.8163265306 52278.5539389378 -103009.18935494 1787.3670593468 Ɵ'2 -528.9256198347 0 3878.7878787879 4039.8252006945 3828.1833858774 87834.5388914038 0 -2040.8163265306 7619.0476190476 -3510.8995808598 -1787.3670593468 32419.4339478664 X'3 -285714.285714286 0 0 285876.569711281 0 1785.1239669421 -162.2839969947 0 1785.1239669421 Y'3 0 -364.4314868805 -2040.8163265306 0 218546.249668699 -2040.8163265306 0 -218181.818181818 0 Ɵ'3 0 2040.8163265306 7619.0476190476 1785.1239669421 -2040.8163265306 41419.9134199134 -1785.1239669421 0 13090.9090909091 X'4 -26933.709239901 52278.5539389378 -3510.8995808598 -162.2839969947 0 -1785.1239669421 27095.9932368958 -52278.5539389378 -5296.0235478019 Y'4 52278.5539389378 -103009.18935494 -1787.3670593468 0 -218181.818181818 0 -52278.5539389378 321191.007536758 -1787.3670593468 Ɵ'4 3510.8995808598 1787.367059346832419.4339478664 1785.1239669421 0 13090.9090909091 -5296.0235478019 -1787.3670593468 91020.686077551 vector de fuerzas MEP Desplazamientos Fx1 Fx1 Fex1 0 Ux1 0 Fy1 Fy1 Fey1 0 Uy1 0 M1 M1 Me1 0 θ1 0 Fx2 30.5 Fex2 0 Ux2 Ux3 Fy2 0 Fey2 51.52 Uy2 Uy3 M2 0 Me2 96.175 θ2 θ3 Fx3 0 Fex3 0 Ux3 Ux4 Fy3 0 Fey3 51.52 Uy3 Uy4 M3 0 Me3 -96.171 θ3 θ4 Fx4 Fx4 Fex4 0 Ux4 0 Fy4 Fy4 Fey4 0 Uy4 0 M4 M4 Me4 0 θ4 0 X'1 Y'1 Ɵ'1 X'2 Y'2 Ɵ'2 X'3 Y'3 Ɵ'3 X'4 Y'4 Ɵ'4 Fx1 48.0841472577 0 -528.9256198347 -48.0841472577 0 -528.9256198347 0 0 0 0 0 0 0 0 Fy1 0 145454.545454545 0 0 -145454.545454545 0 0 0 0 0 0 0 0 0 M1 -528.9256198347 0 7757.5757575758 528.9256198347 0 3878.7878787879 0 0 0 0 0 0 0 0 30.5 -48.0841472577 0 528.9256198347 312696.079101444 -52278.5539389378 4039.8252006945 -285714.285714286 0 0 -26933.709239901 52278.5539389378 3510.8995808598 0.0012867566 0 0 0 -145454.545454545 0 -52278.5539389378 248828.166296366 3828.1833858774 0 -364.4314868805 2040.8163265306 52278.5539389378 -103009.18935494 1787.3670593468 0.0000636319 51.52 0 -528.9256198347 0 3878.7878787879 4039.8252006945 3828.1833858774 87834.5388914038 0 -2040.8163265306 7619.0476190476 -3510.8995808598 -1787.3670593468 32419.4339478664 -0.0013795771 96.175 0 0 0 0 -285714.285714286 0 0 285876.569711281 0 1785.1239669421 -162.2839969947 0 1785.1239669421 0.0012703737 0 0 0 0 0 0 -364.4314868805 -2040.8163265306 0 218546.249668699 -2040.8163265306 0 -218181.818181818 0 -0.0002251087 51.52 0 0 0 0 0 2040.8163265306 7619.0476190476 1785.1239669421 -2040.8163265306 41419.9134199134 -1785.1239669421 0 13090.9090909091 0.0025066451 -96.171 Fx4 0 0 0 -26933.709239901 52278.5539389378 -3510.8995808598 -162.2839969947 0 -1785.1239669421 27095.9932368958 -52278.5539389378 -5296.0235478019 0 0 Fy4 0 0 0 52278.5539389378 -103009.18935494 -1787.3670593468 0 -218181.818181818 0 -52278.5539389378 321191.007536758 -1787.3670593468 0 0 M4 0 0 0 3510.8995808598 1787.3670593468 32419.4339478664 1785.1239669421 0 13090.9090909091 -5296.0235478019 -1787.3670593468 91020.686077551 0 0 Matriz de riguidez reducida 30.5 312696.079101444 -52278.5539389378 4039.8252006945 -285714.285714286 0 0 0.0012867566 0 0 -52278.5539389378 248828.166296366 3828.1833858774 0 -364.4314868805 2040.8163265306 0.0000636319 51.52 0 4039.8252006945 3828.1833858774 87834.5388914038 0 -2040.8163265306 7619.0476190476 -0.0013795771 96.175 0 -285714.285714286 0 0 285876.569711281 0 1785.1239669421 0.0012703737 0 0 0 -364.4314868805 -2040.8163265306 0 218546.249668699 -2040.8163265306 -0.0002251087 51.52 0 0 2040.8163265306 7619.0476190476 1785.1239669421 -2040.8163265306 41419.9134199134 0.0025066451 -96.171 Ux1 0 Fx1 0.6678210897 Uy1 0 Fy1 -9.255549422 θ1 0 M1 -4.6704884808 Ux2 0.0012867566 Fx2 30.5 Uy2 0.0000636319 Fy2 0 θ2 -0.0013795771 M2 0 Ux3 0.0012703737 Fx3 0 Uy3 -0.0002251087 Fy3 0 θ3 0.0025066451 M3 -0 Ux4 0 Fx4 -31.1678210897 Uy4 0 Fy4 112.295549422 θ4 0 M4 -5.0116650454
