A shaft subjected to a bending moment M and a torque T, experiences A. Maximum bending stress $$ = \frac{{32{\text{M}}}}{{\pi {{\text{d}}^3}}}$$ B. Maximum shear stress $$ = \frac{{16{\text{T}}}}{{\pi {{\text{d}}^3}}}$$ C. Both A and B D. Neither A nor B

The correct answer is C. Both A and B.

The maximum bending stress in a shaft subjected to a bending moment M and a torque T is given by

$$\sigma_{max} = \frac{{32{\text{M}}}}{{\pi {{\text{d}}^3}}}$$

where d is the diameter of the shaft.

The maximum shear stress in a shaft subjected to a bending moment M and a torque T is given by

$$\tau_{max} = \frac{{16{\text{T}}}}{{\pi {{\text{d}}^3}}}$$

Therefore, both A and B are correct.