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9th Edition

Barry J. Goodno + 1 other

Publisher: Cengage Learning

ISBN: 9781337093347

Chapter 7, Problem 7.2.24P

Textbook Problem

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The surface of an airplane wing is subjected to plane stress with normal stresses
_{x}
_{v}, as shown in the figure. At a counterclockwise angle 9 = 32° from the x axis, the normal stress is 29 MPa in tension, and at an angle 8 = 46°, it is 17 MPa in compression.

If the stress *tr _{x}*equals 105 MPa in tension, what are the stresses cr„ and r„,?

To determine

The normal stresses acting on the element.

The shear stress acting on the element.

**Given information** The normal stress acting on the body at an angle of

The figure below shows the stresses acting on the element.

Figure-(1)

Write the expression for normal stress acting on the element.

Here, normal stresses acting on the body along x-direction is

**Calculation:**

Substitute

Substitute

Mechanics of Materials (MindTap Course List)

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