395_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

395_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 05Ch05.qxd 9/24/08 4:59 AM Page 389 5 Stresses in Beams (Basic Topics) 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 in. 16 From Eq. (5-4): y âmax r d/2 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): âmax y r Lmin pd âmax d/2 L/2p pd L p(3 mm) 0.0024 3.93 m ; 389 ...
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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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