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9th Edition

Barry J. Goodno + 1 other

Publisher: Cengage Learning

ISBN: 9781337093347

Chapter 7, Problem 7.3.16P

Textbook Problem

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A propeller shaft subjected to combined torsion and axial thrust is designed to resist a shear stress of *57 *MPa and a compressive stress of *105 *MPa (see figure).

(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 element

**Given information:**

The normal stress along x-axis is

Write the expression of the principal stresses

Here, the normal stresses along the

Write the expression of the inclination of principal stresses:

Here, the angle of orientation of the principal stress plane is

**Calculation:**

Substitute

(b)

To determine

The maximum shear stress and sketch the orientation of element.

Mechanics of Materials (MindTap Course List)

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