A bar is subjected to the following stresses [ sigma_{x}=50 mathrm{MPa}, sigma_{y}=-40 mathrm{MPa}, sigma_{z}=70 mathrm{MPa} ] If

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A bar is subjected to the following stresses

\[ \sigma_{x}=50 \mathrm{MPa}, \sigma_{y}=-40 \mathrm{MPa}, \sigma_{z}=70 \mathrm{MPa} \]

If \(v=0.25\) and \(E=200 \mathrm{GPa}\), calculate

(a) the principal strains,

(b) volumetric strain,

(c) shear modulus, and

(d) bulk modulus.

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