An element of aluminum in the form of a rectangular
parallelepiped (see figure) of dimensions a = 6.0., b = 4.0 in, and c = 3.0 in. is subjected to triaxial stresses (x = 12,000 psi, (y = - 4,000 psi, and (z = - 1,000 psi acting on the x, y, and z faces, respectively.
Determine the following quantities: (a) the maximum shear stress in the material; (b) the changes (a, (b, and (c in the dimensions of the element; (c) the change (V in the volume; and (d) the strain energy stored in the element. (Assume E = 10,400 ksi and v = 0.33.)

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