832_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

832_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 10Ch10.qxd 826 9/27/08 7:36 AM Page 826 CHAPTER 10 Statically Indeterminate Beams Problem 10.4-17 A temporary wood flume serving as a channel for irrigation water is shown in the figure. The vertical boards forming the sides of the flume are sunk in the ground, which provides a fixed support. The top of the flume is held by tie rods that are tightened so that there is no deflection of the boards at the point. Thus, the vertical boards may be modeled as a beam AB, supported and loaded as shown in the last part of the figure. Assuming that the thickness t of the boards is 1.5 in., the depth d of the water is 40 in., and the height h to the tie rods is 50 in., what is the maximum bending stress s in the boards? (Hint: The numerically largest bending moment occurs at the fixed support.) t = 1.5 in. B h= 50 in. d= 40 in. A Solution 10.4-17 Side wall of a wood flume COMPATIBILITY (dB)1 dB q0 a 2 6 0 ‹ RB q0 a 3(5L 3 40 L MAXIMUM BENDING MOMENT Select RB as the redundant. Equilibrium: MA (dB) 2 M max RB L MA q0 a 2 RELEASED STRUCTURE AND FORCE-DISPL. EQS. 120 L2 1 q a2 60 RB L ( 20 L2 15 aL 3a2) NUMERICAL VALUES a b From Table G-1, Case B: (dB)1 (dB)2 q0 a 4 30 EI RB L3 3EI q0 a 3 (L 24 EI a) q0 a 3 (5L 120EI a) 40 in. L width of beam 50 in. t 1.5 in. a) ...
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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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