Direct stresses of $120\text{ MN/m}^2$ in tension and $90\text{ MN/m}…

Previous year question for MECHANICS OF SOLIDS.

Question

Direct stresses of $120\text{ MN/m}^2$ in tension and $90\text{ MN/m}^2$ in compression are applied to an elastic material at a certain point on planes at right angles to another. If the maximum principal stress is not to exceed $150\text{ MN/m}^2$ in tension, to what shearing stress can the material be subjected? What is then the maximum resulting shearing stress in the material? Also find the magnitude of the other principal stress and its inclination to $120\text{ MN/m}^2$ stress? Also find the solution graphically?

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