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Unformatted text preview: 05Ch05.qxd 9/24/08 4:59 AM Page 389 5
Stresses in Beams
d Longitudinal Strains in Beams
Problem 5.4-1 Determine the maximum normal strain âmax produced in
a steel wire of diameter d 1/16 in. when it is bent around a cylindrical
drum of radius R 24 in. (see figure). Solution 5.4-1 R Steel wire
R d 24 in. 1
16 From Eq. (5-4):
R + d/2 Substitute numerical values:
âmax 1/16 in.
2(24 in.) + 1/16 in. 6 ; d
2R + d
d = diameter Problem 5.4-2 A copper wire having diameter d 3 mm is bent into
a circle and held with the ends just touching (see figure). If the maximum
permissible strain in the copper is âmax 0.0024, what is the shortest
length L of wire that can be used? Solution 5.4-2 1300 * 10 L = length Copper wire
d 3 mm âmax L 2pr r L
2p 0.0024 From Eq. (5-4):
r Lmin pd
L p(3 mm)
0.0024 3.93 m ; 389 ...
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