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764_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

764_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 09Ch09.qxd 758 9/27/08 1:35 PM Page 758 CHAPTER 9 Deflections of Beams B.C. B.C. B.C. (L) qLL3 12 0 L ¿a b L 2 L vL a b 2 ¿ Ra Ra L b 2 L b 2 L3 qL a b 2 qL4 + C3L + C4 24 L2 qL a b 2 1 J 2 4 1 J 2 0 L3 qa b 2 6 L3 qL a b 2 L4 qa b 2 12 24 L4 qa b 2 12 24 + C3 (1) L2 qL a b 2 4 + C1 K L3 qa b 2 6 73 qL 128 37 3 qL 768 C3 L + C4 2 C4 (3) 5 qL4 768 Therefore (x) qx ( 768EI (x) q (64Lx3 768EI 32Lx2 + 16x3 + 21L3) 32x4 a0 … x … 37L3x + 5L4) a L b 2 L … x … Lb 2 DEFLECTION AT A AND B RA qL 2 RB dA dA 0.53 in. qL 2 RA k1 dB Downward RB k2 dB 0.82 in. Downward DEFLECTION AT POINT C L 1 a b + (dA + dB) 2 2 dC L 2 c 768EI q dC dC L2 L3 1 32L a b + 16 a b + 21L3 d + (dA + dB) 2 2 2 0.75 in. Downward ; (2) L + C1 K 2 From (1), (2), and (3) C1 + C3 ...
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