The state of stress at a point is given by: [ sigma_{x}=90 mathrm{MPa}, sigma_{y}=-50 mathrm{MPa}, tau_{x y}=40

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The state of stress at a point is given by:

\[ \sigma_{x}=90 \mathrm{MPa}, \sigma_{y}=-50 \mathrm{MPa}, \tau_{x y}=40 \mathrm{MPa} \]

Determine

(a) the planes of maximum shear stress, and

(b) resultant stress on these planes.

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