Determine the equivalent state of stress on an element at the same point which represents the principal stress, and the maximum in-plane shear stress and the associated average normal stress. Also, for each case, determine the corresponding orientation of the element w

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Determine the equivalent state of stress on an element at the point which represents the principal stresses and the maximum in-plane shear stress and the associated average normal stress. Also, for each case, determine the corresponding orientation of the element with respect to the element shown in the figure below. Suppose that ?x = 70 MPa . (Figure 1) . a)  Determine the orientation of principal planes of stress.

Answer : The orientation of principal planes of stress are :  -11.6⁰ and 78.4⁰

Explanation:

Given data from the diagram

=  - 15 MPA

α = 70 MPA

The Calculation of  the principal stresses and the maximum in-plane shear stress are attached below

answer:

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explanation: