A cube of cast iron with sides of length a = 4.0 in. (see figure) is tested

Question:

A cube of cast iron with sides of length a = 4.0 in.
(see figure) is tested in a laboratory under triaxial stress. Gages mounted on the testing machine show that the compressive strains in the material are (x = 1 - 225 ( 10-6 and (y = (z = - 37.5 ( 10-6.
Determine the following quantities: (a) the normal stresses (x, (y, and (z acting on the x, y, and faces of the cube; (b) the maximum shear stress in the material; (c) the change (V in the volume of the cube; and (d) the strain energy stored in the cube. (Assume = 14,000 ksi and v = 0.25.)