Find principal normal stresses and principal shear stresses


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.

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Mechanical Engineering: Find principal normal stresses and principal shear stresses
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