745_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 745_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 9.5 Method of Superposition 739 Problem 9.5-15 An overhanging beam ABC with flexural rigidity EI ± 15 k-in. 2 is supported by a guided support at A and by a spring of stiffness k at point B (see figure). Span AB has length L ± 30 in. and carries a uniform load. The over-hang BC has length b ± 15 in. For what stiffness k of the spring will the uniform load produce no deflection at the free end C ? M A q LB b k A C R B x y Solution 9.5-15 EI ± 15kip in 2 . L ± 30 in. b ± 15 in. R B ± qL Table G-2, Case 1 d C ± u B b ² d B ± q (2 L ) 3 24 EI ( b ) ² qL k # Therefore k ± 3.33lb/in ; for d C ± 0 k ± 3 EI bL 2 Problem 9.5-16 A beam ABCD rests on simple supports at B and C (see figure). The beam has a slight initial curvature so that end A is 18 mm above the elevation of the supports and end D is 12 mm above. What moments M 1 and M 2 , acting at points A and D , respectively, will move points A and D downward to the level of the
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## This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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