(A) Derive the relation for elastic constants (Modulus of rigidity G, Bulk Modulus K and Poisson's ratio v) as BX BA SO 2G(1+v) = 3K(1 - 2v) = 9KG/(G + 3K) solid circular shaft of steel (yield strength Oys = 400 MPa) has a 20 mm diameter and is subjected to a combination of static loading axial load P = 25.0 kN, bending moment M = 50.0 Nm, and torque T = 120 Nm. Calculate the factor of safety for design based on the (i) Maximum distortion energy failure theory, and (ii) Maximum shear stress criterion of failure.