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9th Edition

Barry J. Goodno + 1 other

Publisher: Cengage Learning

ISBN: 9781337093347

Chapter 7, Problem 7.7.11P

Textbook Problem

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The strains for an element of material *in plane strain *(see figure) are as follows:
**×10 ^{-6}. **

Determine the principals strains and maximum shear strains, and show these strains on sketches of properly oriented elements.

To determine

The principal strains and maximum shear strain.

**Given:**

Normal strain along x-direction is

Write the expression for the principal strains.

Here, the maximum principal strain is

The normal strain along x direction is

Write the expression for maximum shear strain.

Here, the maximum shear strain is

Write the expression for principal strain angle.

Here, principal strain angle is

Write expression for orientation of first shear strain angle.

Here, first shear angle is

Write expression for orientation of second shear strain angle.

Here, second shear angle is

**Calculation:**

Substitute

Mechanics of Materials (MindTap Course List)

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