DESARROLLO DE HERRAMIENTAS - FI-UAEMex

DESARROLLO DE HERRAMIENTAS - FI-UAEMex DESARROLLO DE HERRAMIENTAS - FI-UAEMex

08.05.2013 Views

ANÁLISIS MATRICIAL DE ESTRUCTURAS RETICULARES 130 Estado II Para cada barra se muestran sus longitudes, vectores unitarios, vectores de rigideces diagonal Además su matriz de continuidad de acuerdo a los grados de libertad de los nudos que los definen. Barra : 1 -0.71 0 0.71 L = 4.24 m Ux´ = 0 Uy´ = -1 Uz´ = 0 0.71 0 0.71 1 2 3 4 5 6 0.472 0.167 0 0.167 0 0 0 0.472 0.334 0 0.334 0 -1 0 0.472 0.167 0 0.167 0 -1 0 0.943 EI A = 0 0.236 0 0 0 0 0.943 0 0.472 0 0.707 0 0.707 0.943 0 0.236 0 0.707 0 0.707 3.538 -0.707 0 0.707 0 0 0 0.047 0 0 0 -0.707 0 0.707 k = Barra : 2 0.71 -0.71 0 L = 4.24 m Ux´ = 0.71 Uy´ = 0.71 Uz´ = 0 0 0 1 1 2 3 4 5 6 7 8 9 10 11 12 0.472 0 0 -0.236 -0.707 0.707 0 0 0 0.236 0 0 0 0.472 0 0 -0.472 -0.707 0.707 0 0 0 0.472 -0.707 0.707 0 0.472 0 0 -0.236 0 0 0 0 0 0.236 -0.707 0.707 0 0.943 -0.167 0.167 0 0 0 1 0.167 -0.167 0 0 0 0 0.943 EI A = -0.334 0.334 0 0 0 1 0.334 -0.334 0 0 0 1 0.943 -0.167 0.167 0 0 0 0 0.167 -0.167 0 0 0 1 3.538 -0.707 -0.707 0 0 0 0 0.707 0.707 0 0 0 0 0.047 0 0 0 -0.707 -0.707 0 0 0 0 0.707 0.707 0 k = Barra : 3 0.577 -0.71 -0.408 DESARROLLO DE HERRAMIENTAS DE ANÁLISIS ESTRUCTURAL PARA SU USO DESDE LA INTERNET

ANÁLISIS MATRICIAL DE ESTRUCTURAS RETICULARES 131 L = 5.2 m Ux´ = 0.577 Uy´ = 0.71 Uz´ = 0.408 0.577 0 0.816 7 8 9 10 11 12 0.385 -0.079 -0.079 0.157 0 0 0 0.385 -0.158 -0.158 0.314 -0.707 0.71 0 0.385 -0.079 -0.079 0.157 -0.707 0.71 0 0.769 0.136 -0.136 0 0 0 0 k = 0.769 EI A = 0.271 -0.271 0 -0.408 -0.408 0.816 0.769 0.136 -0.136 0 -0.408 -0.408 0.816 2.887 0.577 0.577 0.577 0 0 0 0.038 0 0 0 0.577 0.577 0.577 Barra : 4 0.71 -0.71 0 L = 4.24 m Ux´ = 0.71 Uy´ = 0.71 Uz´ = 0 0 0 1 7 8 9 10 11 12 0.472 0.167 0 -0.167 0 -1 0 0.472 0.334 0 -0.334 0 -1 0 0.472 0.167 0 -0.167 0 0 0 0.943 0 -0.236 0 -0.707 0 0.707 k = 0.943 EI A = 0 -0.472 0 -0.707 0 0.707 0.943 0 -0.236 0 0 0 0 3.538 0.707 0 0.707 0 0 0 0.047 0 0 0 0.707 0 0.707 Barra : 5 0 1 0 L = 3.0 m Ux´ = 0 Uy´ = 0 Uz´ = 1 1 0 0 13 14 7 8 9 10 11 12 0.667 1 0 0 0.333 0 0 0 0 0.667 1 0 0 0.667 0 1 0 0 0.667 0 0 0 0.333 0 1 0 0 1.333 0 1 -0.333 0 0 0 0 0 1.333 EI A = 0 1 -0.667 0 0 0 1 0 1.333 0 0 -0.333 0 0 0 1 0 5 0 0 0 0 1 0 0 0 k = DESARROLLO DE HERRAMIENTAS DE ANÁLISIS ESTRUCTURAL PARA SU USO DESDE LA INTERNET

ANÁLISIS MATRICIAL <strong>DE</strong> ESTRUCTURAS RETICULARES 130<br />

Estado II<br />

Para cada barra se muestran sus longitudes, vectores unitarios, vectores de rigideces diagonal Además su matriz de continuidad de<br />

acuerdo a los grados de libertad de los nudos que los definen.<br />

Barra : 1 -0.71 0 0.71<br />

L = 4.24 m Ux´ = 0 Uy´ = -1 Uz´ = 0<br />

0.71 0 0.71<br />

1 2 3 4 5 6<br />

0.472 0.167 0 0.167 0 0 0<br />

0.472 0.334 0 0.334 0 -1 0<br />

0.472 0.167 0 0.167 0 -1 0<br />

0.943 EI A = 0 0.236 0 0 0 0<br />

0.943 0 0.472 0 0.707 0 0.707<br />

0.943 0 0.236 0 0.707 0 0.707<br />

3.538 -0.707 0 0.707 0 0 0<br />

0.047 0 0 0 -0.707 0 0.707<br />

k =<br />

Barra : 2<br />

0.71 -0.71 0<br />

L = 4.24 m Ux´ = 0.71 Uy´ = 0.71 Uz´ = 0<br />

0 0 1<br />

1 2 3 4 5 6 7 8 9 10 11 12<br />

0.472 0 0 -0.236 -0.707 0.707 0 0 0 0.236 0 0 0<br />

0.472 0 0 -0.472 -0.707 0.707 0 0 0 0.472 -0.707 0.707 0<br />

0.472 0 0 -0.236 0 0 0 0 0 0.236 -0.707 0.707 0<br />

0.943 -0.167 0.167 0 0 0 1 0.167 -0.167 0 0 0 0<br />

0.943 EI A = -0.334 0.334 0 0 0 1 0.334 -0.334 0 0 0 1<br />

0.943 -0.167 0.167 0 0 0 0 0.167 -0.167 0 0 0 1<br />

3.538 -0.707 -0.707 0 0 0 0 0.707 0.707 0 0 0 0<br />

0.047 0 0 0 -0.707 -0.707 0 0 0 0 0.707 0.707 0<br />

k =<br />

Barra : 3 0.577 -0.71 -0.408<br />

<strong><strong>DE</strong>SARROLLO</strong> <strong>DE</strong> <strong>HERRAMIENTAS</strong> <strong>DE</strong> ANÁLISIS ESTRUCTURAL<br />

PARA SU USO <strong>DE</strong>S<strong>DE</strong> LA INTERNET

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