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616_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 616_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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610 CHAPTER 7 Analysis of Stress and Strain Problem 7.5-5 Solve the preceding problem for a steel plate with s x 10,800 psi (tension), s y 5400 psi (compres- sion), e x 420 10 6 (elongation), and e y 300 10 6 (shortening). Solution 7.5-5 Biaxial stress P OISSON S RATIO AND MODULUS OF ELASTICITY Eq. (7-39a): Eq. (7-39b): â y 1 E ( s y s x ) â x 1 E ( s x s y ) â x 420 * 10 6 â y 300 * 10 6 s x 10,800 psi s y 5400 psi Substitute numerical values: Solve simultaneously: 1/3 E 30 * 10 6 psi ; E ( 300 * 10 6 ) 5400 psi (10,800 psi) E (420 * 10 6 ) 10,800 psi ( 5400 psi) Problem 7.5-6 A rectangular plate in biaxial stress (see figure) is subjected to normal stresses x 90 MPa (tension) and y 20 MPa (compression). The plate has dimensions and is made of steel with and . (a) Determine the maximum in-plane shear strain in the plate. (b) Determine the change in the thickness of the plate. (c) Determine the change in the volume of the plate.
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