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?

The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

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

4.16
4.17

Related Answered Questions