TABLE OF CONTENTS This brings up the question of combined stresses and Mohr's Circle. Mohr's Circle was developed as a simplified method of determining the resulting maximum stress resulting from a number of differently applied loads or combined stresses. We shall restrict ourselves here to a brief discussion of one method of determining the principal stresses and the maximum shearing stress for a condition of combined loading, a method which is based on Mohr's circle.
Q:
Derive the equation for the maximum shearing stress in a member that is subjected to combined tension, torsion, and circumferential tension, specifically, a pipe under pressure with torsion and axial tension applied, using the diagram in Fig. 6-2 (Mohr's circle). The equation is to be derived for the maximum shearing stress from the information in the diagram in terms of S s,max = maximum shearing stress; S s = stress due to torsion, S x = stress due to pure tension, and S y = stress due to circumferential tension. In addition, sketch a stress diagram for a unit area of the external pipe surface.
Figure 6-2
Answers
Q:
This example illustrates a relatively simple application of Mohr's circle. The subject can be examined in a more general sense to obtain maximum benefit from the example in describing the application of the principles of Mohr's circle.
First determine the stresses acting at a section on the outer surface of the pipe (see Fig. 6-3)-- Given: S x =...
