Question

A material has poisson ratio 0.5. If a uniform rod of it suffers a longitudinal strain of 2×10^-3 then the percentage increase in its volume is?

Answer 1

we know the relation between modulus of elasticity (E), Poisson's ratio (u) and bulk modulus of elasticity(K) is given by ,
$\bf{E=3K(1-2u)}$.

here given, u = 0.5
then, $K\to\infty$

and we also know,
$K=-\frac{\Delta{P}}{\frac{\Delta{V}}{V}}$

if K tends to infinite then, ∆V tends to zero.
hence, % change in volume will be zero.

Answer 2

Answer:

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