When a body is subjected to bi-axial stress i.e. direct stresses (σ_x) and (σ_y) in two mutually perpendicular planes accompanied by a simple shear stress (τ_xy), then minimum normal stress is

The bending moment diagram for a cantilever beam of length l and carrying a gradually varying load from zero at the free end and w per unit length at the fixed end is a parabolic curve.

The ratio of bulk modulus to Young's modulus for a Poisson's ratio of 0.25 will be

The extension of a circular bar tapering uniformly from diameter d₁ at one end to diameter d₂ at the other end, and subjected to an axial pull of P is given by

The radius of the Mohr 's circle in the given figure is equal to