A) 0.6
B) 0.4
C) 0.2
D) zero
Correct Answer: D
Solution :
Given that the material has a Poissons ratio is 0.50 and the longitudinal strain of \[2\times {{10}^{-3}}.\] Now the Poissons ratio is defined as\[v=-\frac{d{{\varepsilon }_{trans}}}{d{{\varepsilon }_{axial}}}=-\frac{d{{\varepsilon }_{y}}}{d{{\varepsilon }_{x}}}=-\frac{d{{\varepsilon }_{z}}}{d{{\varepsilon }_{x}}}\]where v is the resulting Poissons ratio, is transverse strain [negative for axial tension (stretching), positive for axial compression] is axial strain (positive for axial tension, negative for axial compression). Thus there is no change in volume.
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