   # The stresses acting on a stress element on the arm of a power excavator (see figure) are a x = 52 MPa and t x y = 33 MPa (sec figure). What is the allowable range of values for the stress if the maximum shear stress is limited to = 37 MPa? ### Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347
Chapter 7, Problem 7.3.24P
Textbook Problem
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## The stresses acting on a stress element on the arm of a power excavator (see figure) are ax= 52 MPa and txy= 33 MPa (sec figure). What is the allowable range of values for the stress if the maximum shear stress is limited to = 37 MPa? To determine

The permissible range of values for the stress σy .

### Explanation of Solution

Given information:

The normal stress along the x -axis is 52MPa , maximum shear stress along the x-y plane is 33MPa and shear stress is 37MPa in x-y plane.

Write the equation for absolute value of maximum shear stress:

|τmax|=( σxσy 2 )2+τxy2.....(I)

Here, the direct stress in positive y direction is σy .

Calculation:

Substitute 52MPa for σx , 37MPa for τmax and 33MPa for τxy in Equation (I)

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