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207_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

207_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 2.7 Strain Energy 201 Problem 2.7-5 Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight (units of in.) that can be stored in each of the materials listed in the accompanying table, assuming that the material is stressed to the pro- portional limit. DATA FOR PROBLEM 2.7-5 Weight Modulus of Proportional density elasticity limit Material (lb/in. 3 ) (ksi) (psi) Mild steel 0.284 30,000 36,000 Tool steel 0.284 30,000 75,000 Aluminum 0.0984 10,500 60,000 Rubber (soft) 0.0405 0.300 300 Solution 2.7-4 Bar with two loads (a) F ORCE P ACTS ALONE ( Q 0) (b) F ORCE Q ACTS ALONE ( P 0) U 2 Q 2 ( L /2) 2 EA Q 2 L 4 EA ; U 1 P 2 L 2 EA ; (c) F ORCES P AND Q ACT SIMULTANEOUSLY (Note that U 3 is not equal to U 1 U 2 . In this case, U 3 U 1 U 2 . However, if Q is reversed in direction,
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