620_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 620_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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614 CHAPTER 7 Analysis of Stress and Strain Problem 7.5-12 A circle of diameter d 200 mm is etched on a brass plate (see figure). The plate has dimensions 400 400 20 mm. Forces are applied to the plate, producing uniformly distributed normal stresses x 42 MPa and y 14 MPa. Calculate the following quantities: (a) the change in length ac of diameter ac ; (b) the change in length bd of diameter bd ; (c) the change t in the thickness of the plate; (d) the change V in the volume of the plate, and (e) the strain energy U stored in the plate. (Assume E 100 GPa and v 0.34.) s y s x s x s y y z b d c a x Solution 7.5-12 Plate in biaxial stress Dimensions: Diameter of circle: (a) C HANGE IN LENGTH OF DIAMETER IN DIRECTION Eq. (7-39a): (increase)
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