A 20mm diameter rod made of a ductile material with a yield strength of \(350 \mathrm{MPa}\) is subject to a torque of \(T=100 \mathrm{~N} \cdot \mathrm{m}\) and a bending moment of \(M=150 \mathrm{~N} \cdot \mathrm{m}\). An axial tensile force \(P\) is then gradually applied. What is the value of the axial force when yielding of the rod occurs? Solve the problem two ways using

(a) the maximum shear stress theory and

(b) the maximum distortional energy theory.

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