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9th Edition

Barry J. Goodno + 1 other

Publisher: Cengage Learning

ISBN: 9781337093347

Chapter 7, Problem 7.6.1P

Textbook Problem

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An element of aluminum is subjected to tri-axial stresses. Calculate the strains in the element in *x, *y, and z directions lithe stresses *a _{x}a_{y}*and

are -2000 psi, 3500 psi, and 2700 psi, respectively. Assume *E *= 10,000 ksi and *v *= 0.33. Also, find the unit volume change 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 unit volume change.

Here, the unit volume change is

** Calculation:**

Substitute

Substitute

Mechanics of Materials (MindTap Course List)

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The state of stress on an element of material is...Ch. 7 - An element of a material is subjected to plane...Ch. 7 - Assume that the normal strains x and y , for an...Ch. 7 - A cast-iron plate in biaxial stress is subjected...Ch. 7 - Solve the preceding problem for a steel plate with...Ch. 7 - • - 3 A rectangular plate in biaxial stress (see...Ch. 7 - Solve the preceding problem for an aluminum plate...Ch. 7 - A brass cube of 48 mm on each edge is comp ressed...Ch. 7 - 7.5-11 in. cube of concrete (E = 4.5 X 106 psi. v...Ch. 7 - -12 A square plate of a width h and thickness t is...Ch. 7 - Solve the preceding problem for an aluminum plate...Ch. 7 - A circle of a diameter d = 200 mm is etched on a...Ch. 7 - The normal stress on an elastomeric rubber pad in...Ch. 7 - A rubber sheet in biaxial stress is subjected to...Ch. 7 - An element of aluminum is subjected to tri-axial...Ch. 7 - An element of aluminum is subjected to tri- axial...Ch. 7 - -3 An element of aluminum in the form of a...Ch. 7 - 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