(b) The bar is loaded along its length with a compressive force PL = 16 KN. Find the compressive forces along the width and height that will produce the same stress in all dimensions. Find the change in volume in this case.

(b) The bar is loaded along its length with a compressive force PL = 16 KN. Find the compressive forces along the width and height that will produce the same stress in all dimensions. Find the change in volume in this case.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.15P: A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded...

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Question

A bar of length 50 cm, height 2 cm, width 3 cm, modulus of elasticity E = 70 GPa, Poisson’s ratio of 0.28 and bulk modulus of 62 GPa. (a) The bar is loaded along its length with a tensile force PL = 96 KN and along its width with a tensile force PW = 400 KN. Find the decrease in height and volumetric strain. (b) The bar is loaded along its length with a compressive force PL = 16 KN. Find the compressive forces along the width and height that will produce the same stress in all dimensions. Find the change in volume in this case.

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