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619_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

619_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 7.5 Hooke’s Law for Plane Stress 613 Solution 7.5-10 Square plate in plane stress C HANGE IN VOLUME Eq. (7-47): e 1 2 E ( s x + s y ) 183.33 * 10 6 t xy V bt 5.0 MPa V 120 kN s y P y bt 7.5 MPa P y 180 kN s x P x bt 20.0 MPa P x 480 kN v 0.35 (magnesium) E 45 GPa t 40 mm b 600 mm (Increase in volume) S TRAIN ENERGY Eq. (7-50): Substitute numerical values: U uV 0 67.0 N # m 67.0 J ; u 4653 Pa G E 2(1 + ) 16.667 GPa u 1 2 E ( s x 2 + s y 2 2 s x s y ) + t xy 2 2 G ¢ V eV 0 2640 mm 3 ; V 0 b 2 t 14.4 * 10 6 mm 3 Problem 7.5-11 Solve the preceding problem for an aluminum plate with , , , , , , and . V 15 k P y 20 k P x 90 k 0.33 E 10,600 ksi t 1.0 in. b 12 in. Solution 7.5-11 Square plate in plane stress C HANGE IN VOLUME
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