A material has Poisson's ratio 0.50 . If a uniform rod made of this material suffers a longitudinal strain of 2 10⁻³ , then the percentage change in volume is

Step-by-step solution

Given, Poisson's ratio, =0.5 Longitudinal strain, l l =2 10⁻³ Volumetric strain ( V V ) and Iongitudinal strain ( l l ) are related as array rlrl V V & =(1-2 ) l l & & =(1-2 0.5) 2 10⁻³ & =(1-1) 2 10⁻³=0 2 10⁻³=0 & V V 100 & =0 100 %=0 array