Question 4.6: At a point in a loaded structure, a pure shear stress state ...
At a point in a loaded structure, a pure shear stress state of τ = ± 400 MPa prevails on two given planes at right angles.
(a) What would be the state of stress across the planes of an element taken at ± 45° to the given planes?
(b) What are the magnitudes of these stresses?
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The given stress state is shown in Figure 4.16 along with the representation in Mohr’s circle.
Now, ±45° rotation could bring point A to C and D, respectively. The stress states are shown in Figure 4.17.
Therefore, the required stresses are \sigma_n=\pm 400 MPa \text { and } \tau=0


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