análisis estructural (s-01) - análisis clásico

Análisis Estructural - Análisis Clásico de Estructuras 2D Prof.: Ing. Carlos Villaseñor M. Problema 1 Obtener los diagramas de momento flexionante, cortante y normal. P 4Ton := , w 3 Ton m := , L 1 1.5m := , L 2 1.5m := , L 3 4m := , • H 4m := θ atan H L 1 L 2 + ( ) ⎡ ⎢ ⎣ ⎤ ⎥ ⎦ 53.13 ° ⋅ = := cálculo de reacciones A x 1Ton := A y 1Ton := B x 1Ton := B y 1Ton := + M A ∑ 0 = Given P − L 1 cos θ ( ) ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ ⋅ w L 3 ( ) ⋅ L 1 L 2 + 1 2 L 3 ⋅ + ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ ⋅ ⎡ ⎢ ⎣ ⎤ ⎥ ⎦ − + ... L 1 L 2 + L 3 + ( ) B y ⋅ + ... 0 = B y Find B y ( ) 10 Ton ⋅ = := + M C ∑ 0 = B x 0 := F x ∑ 0 = Given P sin θ ( ) ⋅ A x + B x − 0 = A x Find A x ( ) 3.2 − Ton ⋅ = := + θ F y ∑ 0 = Given P − cos θ ( ) ⋅ w L 3 ( ) ⋅ − A y + B y + 0 = A y Find A y ( ) 4.4 Ton ⋅ = := transformación de las reacciónes a los ejes locales del elemento 1 F x' ∑ A x' A x cos θ ( ) ⋅ A y sin θ ( ) ⋅ + 1.6 Ton ⋅ = := + F y' ∑ A y' A x − sin θ ( ) ⋅ A y cos θ ( ) ⋅ + 5.2 Ton ⋅ = := Secciones 1 y 2 0 x ≤ L 1 cos θ ( ) < L 1 cos θ ( ) 2.5 m = M 1 x () A y' x ⋅ P x L 1 cos θ ( ) − ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ ⋅ x L 1 cos θ ( ) ≥ ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ ⋅ − := V 1 x () x M 1 x () d d := N 1 x () A x' − := Pág.- 1 13/08/2010 19:39

análisis estructural (s-01) - análisis clásico

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