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Plane_Truss_Ch4 - Plane Truss Finite Elements e v1e ye e 2...

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h e 2 1 θ e y x e F 1 e F 2 e x e y 1 e v e u 1 2 e u 2 e v h e 2 1 θ e y x e F 1 , F e 2 e x e y e v 1 e u 1 e u 2 e v 2 e x F 1 e u 1 e y F 1 e v 1 e y F 2 e v 2 e x F 2 e u , 2 E e A e h e 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 ¯ u e 1 ¯ v e 1 ¯ u e 2 ¯ v e 2 = ¯ F e 1 0 ¯ F e 2 0 [ ¯ K e ] { ¯ e } = { ¯ F e } ¯ x e = x cos θ + y sin θ ¯ y e = x sin θ + y cos θ ½ ¯ x e ¯ y e ¾ = cos θ sin θ sin θ cos θ ¸ ½ x y ¾ ¯ u e 1 ¯ v e 1 ¯ u e 2 ¯ v e 2 = cos θ e sin θ e 0 0 sin θ e cos θ e 0 0 0 0 cos θ e sin θ e 0 0 sin θ e cos θ e u e 1 v e 1 u e 2 v e 2 { ¯ e } = [ T e ] { e } Plane Truss Finite Elements Truss Finite Element Equations Transformation Equations
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