730_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 730_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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724 CHAPTER 9 Deflections of Beams Problem 9.4-4 A beam with a uniform load has a guided support at one end and spring support at the other. The spring has stiffness k ± 48EI/ L 3 . Derive the equation of the deflection curve by starting with the third-order differential equation (the shear-force equation). Also, determine the angle of rotation u B at support B . R B = k d B M A k = 48 EI / L 3 AB q y x L Solution 9.4-4 S HEAR - FORCE EQUATION B . C . n ²² ( L ) ± M ( L ) ± 0 EI ³± qL 2 x 2 4 ´ qx 4 24 + C 2 x + C 3 ³ ¿ ± qL 2 x 2 ´ 3 6 + C 2 ³ ± 2 2 ´ 2 2 C 1 ± 2 2 ³ ±´ 2 2 + C 1 ³ –¿ ± V B . C . n ² (0) ± 0 C 2 ± 0 B . C . u B ±´³ ¿ ( L ) 3 3 (Counterclockwise) ; (2 x 4 ´ 12 x 2 L 2 µ 11 L 4 ) ; ³ ( x ) q 48 C 3 11 4 48 ³ ( L ) ± qL k qL 4 48 Problem 9.4-5 The distributed load acting on a cantilever beam
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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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