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Strength of Materials by V. Ramasamy, P. Purushothama Raj

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2.5 MOHR’S CIRCLE

If a plot is made with normal stresses used as abscissas and shearing stresses as ordinates, and if points are plotted to represent stress coordinates for all possible values of θ, it is found that the locus of these points is a circle, as shown in Figure 2.11.

 

Mohr’s stress circle

 

Fig. 2.11 Mohr’s stress circle.

 

This circle has its centre on the x-axis, and cuts it at abscissas of σ2 and σ1. Any point on the circle represents the coordinates of stress on some plane. Thus, point C in Figure 2.11(a) is for the θ value as given in Figure 2.11(b). This circle is the graphical representation of the state of stress in a lucid form which is known ...

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