Consider the following state of stress (MPa): σ(sigma)x = 82, σ(sigma)y = 16, σ(sigma)z = 40, τ(tao)xy = 15, τ(tao)yz = -5, τ(tao)zx = 22.
Determine the following:
a) Principal normal stresses and principal shear stresses.
b) Maximum normal stress and maximum shear stress.
c) Direction cosines for each principal normal stress axis.