   # The stresses acting on an element oriented at a counterclockwise angle θ = 29 ° . ### Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347
Chapter 7, Problem 7.4.1P
Textbook Problem
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##  (a)

To determine

The stresses acting on an element oriented at a counterclockwise angle θ=29° .

### Explanation of Solution

Given information:

The normal stress along x- axis is 14250psi .

The normal stress along y -axis is 0psi .

The shear stress along x-y plane is 0psi .

Following are the steps to be followed to draw Mohr’s circle.

1. Mohr’s circle is always drawn in the σ-τ plane.

2. Direct stress will be positive if it is tensile otherwise it is negative.

3. Shear stresses will be positive if it tends to move the body in clockwise and vice versa.

4. Angle will be 2θ from σ axis.

4 Mark point A (σx,τxy) and mark point B (σy,τxy) .

5. AB will be diameter of the circle.

Write the expression for the centre of circle.

m:math>C=σxσy2 .....(I)

Here, normal stress along x direction is σx , normal stress in y direction is σy and shear stress in x-y plane is τxy and the centre of circle is C .

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

R=( σ x σ y 2)2+τxy2.....(II)

Here, the shear stress along the xy plane is τxy

(b)

To determine

The maximum shear stress and associated normal stress.

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