800_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

800_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 09Ch09.qxd 794 9/27/08 1:37 PM Page 794 CHAPTER 9 Deflections of Beams Solution 9.11-5 (a) (T2 T1) d – dx (b) (T2 a T0 x h 2 a T0 x 2h v¿ T0 x 2 dx 2 2 B.C. n (0) C1 n(L) 0 a T0 x 3 + C1 3h v¿ C1 (x) a T0 (x 3 6h v ¿ (x) a T0 x 4 + C 1 x + C2 12 h 0 B.C. a T0 x 2 2h 0 C1 n(L) 0 C2 (x) v ¿ (x) x (0) a T0 L4 12 h L4) a T0 (x 4 12 h a T0 x 3 3h Set n (x) 0 0 3 dmax 0 MAXIMUM DEFLECTION 0 and solve for x a T0 x 2 2h 0 L3) MAXIMUM DEFLECTION Set n (x) n (0) B.C. a T0 L3 6h C2 0 a T0 x 2 h d2 – a T0 x 3 + C 1 x + C2 6h B.C. T0 x2 T1) a T0 L 6h Downward ; dmax a T0 x 3h 0 and solve for x 3 x (0) 0 a T0 L4 12 h Downward ; (c) Changing kR does not change dmax in both cases. ...
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