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9th Edition

Barry J. Goodno + 1 other

Publisher: Cengage Learning

ISBN: 9781337093347

Chapter 7, Problem 7.4.6P

Textbook Problem

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An element in * biaxial stress *is subjected to stresses

(a) The stresses acting on an element oriented at a slope of I on *2.5 *(see figure).

**(b) The **maximum shear stresses and associated norm al stresses.

Show all results on sketches of properly oriented elements.

(a)

To determine

The stresses acting one an element oriented at a slope of

The stress acting on element along x-direction is

Write the expression to calculate the distance of center C from origin O along the horizontal direction.

Here the stress along the x-direction is

Write the expression for the radius of Mohr’s circle.

Here, radius of Mohr’s circle is

Write the expression for orientation of element.

Here, slope of the oriented element is

Write the expression for stress along center point.

Here, stress along center point is

Write the expression for minimum principle stress.

Here, minimum principle stress is

Write the expression for maximum principle stress.

Here, maximum principle stress is

Write the expression for shear stress on oriented plane.

Here, principal shear stress is

**Calculation:**

Substitute

Substitute

Substitute

Mechanics of Materials (MindTap Course List)

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