738_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

738_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 09Ch09.qxd 9/27/08 732 1:32 PM Page 732 CHAPTER 9 Deflections of Beams (b) RA qL 2 dA RA k1 dA 12.60 mm RB dB RA 19.69 mm Table G-2, Case 1 dB RB k2 dC 5qL4 1 + (dA + dB) 384EI 2 dC 18.36 mm Problem 9.5-5 What must be the equation y f(x) of the axis of the slightly curved beam AB (see figure) before the load is applied in order that the load P, moving along the bar, always stays at the same level? Downward ; P y B A L Solution 9.5-5 Slightly curved beam Let x d distance to load P Initial upward displacement of the beam must equal d. downward deflection at load P ‹y Table G-2, Case 5: d P(L x)x 2 [L 6LEI (L x)2 x2] x)2 Px2(L 3LEI x)2 Px2(L 3LEI Problem 9.5-6 Determine the angle of rotation uB and deflection dB at the free end of a cantilever beam AB having a uniform load of intensity q acting over the middle third of its length (see figure). q B A L — 3 Solution 9.5-6 Cantilever beam (partial uniform load) q intensity of uniform load Original load on the beam: ; Load No. 1: L — 3 L — 3 x ...
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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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