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9th Edition

Barry J. Goodno + 1 other

Publisher: Cengage Learning

ISBN: 9781337093347

Chapter 7, Problem 7.6.3P

Textbook Problem

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* -3 *An element of aluminum in the form of a rectangular parallelepiped (see figure) of dimensions a =

Determine the following quantities: (a) the maxim um shear stress in the material; (b) the changes *..la, .11. *and 1c in the dimensions of the element:

**(C) **the change .IJ’ in the volume: (d) the strain energy *U *stored in the element: (e) the maximum value of cr1

when the change in volume must be limited to 0.021%; and (f) the required value of *o *when the strain energy must be 900 in.-lb. (Assume *E *= 10,400 ksi and v = 0.33.)

(a)

To determine

The maximum shear stress in the material.

** Given information:**

The aluminium element of length

** Explanation:**

Write the expression for the maximum shear stress.

Here, the maximum shear stress is

(b)

To determine

The changes in the dimensions of the element.

** (c)**

To determine

The change in the volume of the element.

** (d)**

To determine

The strain energy stored in the element.

** (e)**

To determine

The maximum value of normal stress along the

** (f)**

To determine

The required value of normal stress along the

Mechanics of Materials (MindTap Course List)

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