The state of stress at a point is given by: [ sigma_{x}=140 mathrm{MPa}, sigma_{y}=100 mathrm{MPa}, tau_{x y}=60

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The state of stress at a point is given by:

\[ \sigma_{x}=140 \mathrm{MPa}, \sigma_{y}=100 \mathrm{MPa}, \tau_{x y}=60 \mathrm{MPa} \]

Calculate

(a) the principal stresses, and

(b) the principal planes.

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