An element in a stressed material has tensile stress of $500 \text{ M…

Question

An element in a stressed material has tensile stress of $500 \text{ MN/m}^2$ and a compressive stress of $350 \text{ MN/m}^2$ acting on two mutually perpendicular planes and equal shear of $100 \text{ MN/m}^2$ on these planes. Find the principal stresses and position of the principal planes. Find also the maximum shearing stress and the direction of their planes.

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