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9th Edition

Barry J. Goodno + 1 other

Publisher: Cengage Learning

ISBN: 9781337093347

Chapter 7, Problem 7.3.20P

Textbook Problem

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**-18 through 7.3-22 **An element in *plane stress *

(see figure) is subjected to stresses *o, a., *and

(a) Determine the principal stresses and show them on a sketch of a properly oriented element.

**(b) **Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element.

(a)

To determine

The principal stresses and sketch the orientation of elements.

**Given information:**

The normal stress along x-axis is

Write the expression for the maximum principal stress.

Here, the maximum principal stress is

Write the expression for the minimum principal stress.

Here, the minimum principal stress is

Write the expression for the angle of inclination of principal stress.

**Calculation:**

Substitute

(b)

To determine

The maximum shear stress.

The associated normal stress.

Sketch the orientation of the elements.

Mechanics of Materials (MindTap Course List)

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