Question

Derive an expression for the strain energy stored in a material when subjected to three principal stresses.
A material is subjected to a system of three mutually perpendicular stresses as follows: f tensile, 2f tensile and f
compressive. If this material failed in simple tension at a stress of 180 MN/m2, determine the value offif the criterion
of failure is:

(a) maximum principal stress;

(b) maximum shear stress;

(c) maximum strain energy.

Take Poisson’s ratio v = 0.3.

Answer 1