A displacement field in a body is given byu =c(x' +10)v = 2cyz=(-xy+2')w =where c = 104. Determine the state of strain and stress on an element positioned at (0, 2, 1).Use E = 70 GPa and v 0.3.

Given, u=cx2+10v=2cyzw=c-xy+z2 The equation for normal strain in x-direction is εx=∂u∂x…

Answered: A displacement field in a body is given…

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A displacement field in a body is given by u=c(x +10) v= 2cyz w =c(-xy+=')

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 7.6.13P: A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean...

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Question

A displacement field in a body is given by
u =c(x' +10)
v = 2cyz
=(-xy+2')
w =
where c = 104. Determine the state of strain and stress on an element positioned at (0, 2, 1).
Use E = 70 GPa and v 0.3.

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