The volumetric strain of a rectangular body subjected to three mutually perpendicular forces is

(where σx, σy and σz are the stresses in x, y and z direction respectively. E and ν are Young’s modulus and Poisson’s ratio respectively)

1
\(\rm \frac{\sigma_x+\sigma_y+\sigma_z}{E}\)
2
\(\rm \frac{\sigma_x+\sigma_y+\sigma_z}{E}(1-2v)\)
3
\(\rm \frac{\sigma_x}{E}\)
4
\(\rm \frac{\nu(\sigma_x+\sigma_y+\sigma_z)}{E}\)

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