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827_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 827_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 10.4 Method of Superposition 821 Problem 10.4-12 The figure shows a nonprismatic, propped cantilever beam AB with flexural rigidity 2 EI from A to C and EI from C to B . Determine all reactions of the beam due to the uniform load of intensity q . ( Hint: Use the results of Problems 9.7-1 and 9.7-2.) A B C M A R A R B q 2 EI EI L 2 L 2 Solution 10.4-12 Nonprismatic beam Select R B as the redundant. R ELEASED STRUCTURE upward deflection due to reaction R B ( d B ) 2 downward deflection of end B due to load q ( d B ) 1 F ORCE - DISPLACEMENT RELATIONS From Prob. 9.7-2: From Prob. 9.7-1: C OMPATIBILITY or E QUILIBRIUM M A qL 2 2 R B L 7 qL 2 48 ; R A qL R B 31 qL 48 17 qL 4 256 EI 3 R B L 3 16 EI 0 R B 17 qL 48 ; d B ( d B ) 1

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827_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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