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817_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

817_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 10.4 Method of Superposition 811 Another solution by the order differential equation. D IFFERENTIAL EQUATIONS B . C . 1 B . C . 2 B . C . 3 v ¿ ( L ) 0 M A L qL L 2 2 qL 3 6 qL 3 3 v ¿ (0) 0 C 2 0 v ¿ (0) 0 C 1 0 EIv R A x 3 6 M A x 2 2 qx 4 24 + C 1 x + C 2 EIv ¿ R A x 2 2 M A x qx 3 6 + C 1 EIv M R A x M A qx 2 2 2 nd D EFLECTION CURVE or v q 24 EI ( x 4 + 4 Lx 3 4 L 2 x 2 ) ; EIv R A x 3 6 M A x 2 2 qx 4 24 qL x 3 6 qL 2 3 x 2 2 qx 4 24 M B qL 2 2 qL 2 3 qL 2 6 ; M A qL 2 3 ; Problem 10.4-3 A propped cantilever beam of length 2 L with support at B is loaded by a uniformly distributed load with intensity q . Use the method of superposition to solve for all reactions. Also draw shear-force and bending- moment diagrams, labeling all critical ordinates. A B L L x y C M A R A
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