Engineering

Mechanical EngineeringMechanics of Materials (MindTap Course List)A specimen used in a coupon test is shown in the figure. The stresses on element A are known to be s y = -1500 psi. Use Mohr’s circle to: (a) Find the stresses acting on the element oriented at an angle ?? = -35°. (b) Find maximum normal and shear stresses and show them on sketches of properly oriented elements.BuyFind*arrow_forward*

9th Edition

Barry J. Goodno + 1 other

Publisher: Cengage Learning

ISBN: 9781337093347

Chapter 7, Problem 7.4.9P

Textbook Problem

A specimen used in a coupon test is shown in the figure. The stresses on element * A *are known to be

(a) Find the stresses acting on the element oriented at an angle * ?? *= -35°.

**(b) **Find maximum normal and shear stresses and show them on sketches of properly oriented elements.

Expert Solution

(a)

To determine

The state of stress on the element oriented at angle

**Given information:**

The normal stress at point A along y-axis is

Write the expression for average stress.

Here, average stress is

Write the expression for the radius of Mohrs circle.

Here, the radius of the Mohrs circle is

Write the expression for the normal stress on element along x-direction.

Here, normal stress on element along x-direction is

Write the expression for the normal stress on element along y-direction.

Here, normal stress on element along y-direction is

Write the expression for shear stress on the element.

Here, shear stress on oriented element is

**Calculation:**

Substitute

Substitute

Substitute

Mechanics of Materials (MindTap Course List)

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