(A) Derive the relation for elastic constants (Modulus of rigidity G, Bulk Modulus K and Poisson's...

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(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. (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.