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9th Edition

Barry J. Goodno + 1 other

Publisher: Cengage Learning

ISBN: 9781337093347

Chapter 7, Problem 7.6.2P

Textbook Problem

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An element of aluminum is subjected to tri- axial stresses. Calculate the strains in the element in and directions if the stresses are -20 MPa, 28 MPa, and -18 MPa. respectively. Assume

*E *= 70 GPa and *v *= 0.33. Also, find the strain energy density of the element.

To determine

The strains in the element in

** Given information:**

The normal stress acting in

** Explanation:**

Write the expression for the normal strain in the

Here, the Poisson’s ratio is

Write the expression for the normal strain in

Here, the strain in

Write the expression for the normal strain in

Here, the strain in

Write the expression for the strain energy density.

Here, the strain energy is

** Calculation:**

Substitute

Substitute

Mechanics of Materials (MindTap Course List)

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