If ΣH and ΣV are the algebraic sums of the forces resolved horizontally and vertically respectively and ΣM is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon

A simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be

A. $$\frac{2}{3}$$

B. $$\frac{3}{2}$$

C. $$\frac{5}{8}$$

D. $$\frac{8}{5}$$

Principal planes are subjected to

A. Normal stresses only

B. Tangential stresses only

C. Normal stresses as well as tangential stresses

D. None of these

Y are the bending moment, moment of inertia, radius of curvature, modulus of If M, I, R, E, F and elasticity stress and the depth of the neutral axis at section, then

A. $$\frac{{\text{M}}}{{\text{I}}} = \frac{{\text{R}}}{{\text{E}}} = \frac{{\text{F}}}{{\text{Y}}}$$

B. $$\frac{{\text{I}}}{{\text{M}}} = \frac{{\text{R}}}{{\text{E}}} = \frac{{\text{F}}}{{\text{Y}}}$$

C. $$\frac{{\text{M}}}{{\text{I}}} = \frac{{\text{E}}}{{\text{R}}} = \frac{{\text{F}}}{{\text{Y}}}$$

D. $$\frac{{\text{M}}}{{\text{I}}} = \frac{{\text{E}}}{{\text{R}}} = \frac{{\text{Y}}}{{\text{F}}}$$

A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

A. $$\frac{{\text{M}}}{{\text{T}}}$$

B. $$\frac{{\text{T}}}{{\text{M}}}$$

C. $$\frac{{2{\text{M}}}}{{\text{T}}}$$

D. $$\frac{{2{\text{T}}}}{{\text{M}}}$$