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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
dst For a linearly elastic beam, the bending stress s is
proportional to the deflection d
sst smax dmax
dst 1 + a1 + 2h 1/2
dst 2h 1/2
sst c 1 + a 1 +
d st ; NOTE: dst smax
10.0 2hdst)1/2 MAXIMUM BENDING STRESS ‹ 785 2.00
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
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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.
- Fall '11