791_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

791_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 09Ch09.qxd 9/27/08 1:37 PM Page 785 SECTION 9.10 Deflections Produced by Impact Solution 9.10-1 Weight W dropping onto a simple beam MAXIMUM DEFLECTION (EQ. 9-94) dmax dst (d2 st h dst For a linearly elastic beam, the bending stress s is proportional to the deflection d smax sst smax dmax dst 1 + a1 + 2h 1/2 b dst 2h 1/2 sst c 1 + a 1 + bd d st ; NOTE: dst smax sst 0 2.5 5.0 7.5 10.0 2hdst)1/2 MAXIMUM BENDING STRESS ‹ 785 2.00 3.45 4.33 5.00 5.58 WL3 for a simple beam with a load at the 48EI midpoint. GRAPH OF RATIO smax/sst W Problem 9.10-2 An object of weight W is dropped onto the midpoint of a simple beam AB from a height h (see figure). The beam has a rectangular cross section of area A. Assuming that h is very large compared to the deflection of the beam when the weight W is applied statically, obtain a formula for the maximum bending stress smax in the beam due to the falling weight. h A B L — 2 L — 2 ...
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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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