714_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

714_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 09Ch09.qxd 9/27/08 708 1:30 PM Page 708 CHAPTER 9 Deflections of Beams Problem 9.2-2 The deflection curve for a simple beam AB (see figure) is given by the following equation: q0 L4 4 p EI sin px L (a) Describe the load acting on the beam. (b) Determine the reactions RA and RB at the supports. (c) Determine the maximum bending moment Mmax. Solution 9.2-2 Simple beam 4 q0 L 4 p EI q0 L3 ¿ 3 p EI sin (b) REACTIONS (EQ. 9-12b) px L cos V px L EI –¿ At x 0: V At x q0 L px cos p L L: V q0 L p RA q0 L2 – px sin 2 L p EI –¿ –– q0 px sin EI L q0 L ; p RB q0 L px cos pEI L RB ; q0 L p ; (c) MAXIMUM BENDING MOMENT (EQ. 9-12a) M (a) LOAD (EQ. 9-12c) px q EI –– q0 sin ; L The load has the shape of a sine curve, acts downward, ; and has maximum intensity q0. 10L2x + 5Lx2 q0 L2 2 p sin px L For maximum moment, x Problem 9.2-3 The deflection curve for a cantilever beam AB (see figure) is given by the following equation: q0 x2 (10L3 120LEI EI – x3) Mmax L ; 2 q0 L2 p2 ; y A B x Describe the load acting on the beam. Probs. 9.2-3 and 9.2.-4 L ...
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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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