02-05ChapGere.0004

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Strain Energy When solving the problems for Section 2.7, assume that the material behaves linearly elastically. Problem 2.7-1 A prismatic bar AD of length L , cross-sectional area A , and modulus of elasticity E is subjected to loads 5 P , 3 P , and P acting at points B , C , and D , respectively (see figure). Segments AB , BC , and CD have lengths L /6, L /2, and L /3, respectively. (a) Obtain a formula for the strain energy U of the bar. (b) Calculate the strain energy if P 6 k, L 52 in., A 2.76 in. 2 , and the material is aluminum with E 10.4 10 6 psi. Solution 2.7-1 Bar with three loads SECTION 2.7 Strain Energy 137 A B C D 5 P 3 P

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