729_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

729_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 9.4 Deflections by Integration of the Shear Force and Load Equations 723 B . C .3 n (0) ± 0 ± C 4 ± 0 B . C .4 n ( L ) ± 0 ± C 3 ± 0 ²±³ q 0 L 4 p 4 EI sin p x L ; (These results agree with Case 13, Table G-2.) d max ±³² a L 2 b ± q 0 L 4 p 4 EI ; Problem 9.4-3 The simple beam AB shown in the figure has moments 2 M 0 and M 0 acting at the ends. Derive the equation of the deflection curve, and then determine the maximum deflection d max . Use the third-order differential equation of the deflection curve (the shear-force equation). y x A B M 0 2 M 0 L Solution 9.4-3 Simple beam with two couples Reaction at support A : Shear force in beam: S HEAR - FORCE EQUATION (E Q . 9-12b) B . C .1 EI n ´´ ± ME I n ´´ (0) ± 2 M 0 ± C 1 ± 2 M 0 B . C .2 n (0) ± 0 C 3 ± 0 B . C n ( L ) ± 0 C 2 ±³ M 0 L 2 EI M 0 x 3
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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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