metodo de hardy cross

May 3, 2019 | Author: Raul Del Castillo Perez | Category: Stiffness, Física y matemáticas, Physics, Mechanics, Mechanical Engineering
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HCROSS , programa de hardy cross incluyendo los desplazamientos de nudos....

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HCROSS UNIVERSIDAD NACIONAL DE SAN CRISTÓBAL DE HUAMANGA

Ejemplo N° 1 Para la estructura que se muestra dibujar los diagramas de momentos flectores y fuerzas cortantes.

Lo primero que hacemos es enumerar los nudos, barras, y propiedades.

Ingresamos al Programa HCROSS.

CORAS ESCALANTE, Hilmer

1

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En el Menú Datos ingresamos:

En el Menú MEP ingresamos:

Primero los Momentos de Empotramiento Perfecto debido a las Cargas:

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Damos clic en terminar si ya ingresamos todas las cargas q existe en la estructura.

Obteniéndose lo siguiente:

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Ahora ingresamos los Momentos de Empotramiento Perfecto debido a Desplazamientos

Primer desplazamiento:

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Obteniéndose:

Segundo desplazamiento:

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Obteniéndose lo siguiente:

Ahora podemos consultar los Resultados:

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1. Rigidez Relativa: Kij=I/L

2. Coeficientes de Transmisión

3. Momentos de Empotramiento Perfecto

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4. Cuadro de distribución

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Cortantes debido a Cargas

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Recuerda trabajar con coordenadas locales

Sumando tenemos: Aquí trabajar con coordenadas globales.

Cuadro de Distribución debido al primer desplazamiento

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Cortantes debido al primer desplazamiento

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Sumando.

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Cortantes debido al primer desplazamiento

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Sumando:

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Sistema de ecuaciones.

 (210.14512)) +  2 ∗ ( 0 = 39.8 39.815 155 5 + 1 ∗  (210.14512 ∗ (−47.4667 −47.4667)) 0 = −27 −27.4 .469 694 4 + 1 ∗ (−68.353059) −68.353059 ) +  2 ∗ (38.6239) 38.6239) Resolviendo:

1 = −0.0480176 2 = 0.6262249

Ahora calculamos los Momentos Finales.

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