819_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

819_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 10.4 Method of Superposition 813 Problem 10.4-5 A propped cantilever beam of length 2 L is loaded by a uniformly distributed load with intensity q . The beam is supported at B by a linearly elastic spring with stiffness k . Use the method of superposition to solve for all reactions. Also draw shear-force and bending-moment diagrams, labeling all critical ordinates. Let . k ± 6 EI / L 3 B k A LL x y C M A R A R B = k d B q 0 Solution 10.4-5 Select R B as the redundant. R ELEASED STRUCTURE AND FORCE - DISPLACEMENT RELATIONS ± Deflection at B due to Force R B ± Shortening in spring due to Force R B F ROM COMPATIBILITY EQUATION
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