The shaft in Figure P4.36 has a diameter of 20 mm and is made of a ductile steel (Y = 400...

The shaft in Figure P4.36 has a diameter of 20 mm and is made of a ductile steel (Y = 400 MPa). It is subjected to a combination of static loads as follows: axial load P = 25.0 kN, bending moment Mx = 50.0 N • m, and torque T = 120 N • m.

FIGURE P4.36

a. Determine the factor of safety for a design based on the octahedral shear-stress criterion of failure.

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b. Determine the factor of safety for a design based on the maximum shear-stress criterion of failure.

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c. Determine the maximum and minimum principal stresses and indicate the directions in which they act at point B shown.