Question

find the change in volume per unit volume due to uniaxial tension loading on a block.where 'qx' is strain in direction of loading and 'v' is poisson's ratio.​

Answer 1

Explanation:

ANSWER

Given:

 Poisson's ratio 0.2. 

 longitudinal strain 4.0×10−3

As σ=−Δl/lΔR/R

∴RΔR=−σlΔl=−0.2×4.0×10−3=−0.8×10−3

V=πR2l

∴VΔV×100=(2RΔR+lΔl)×100=[2×(−0.8×10−3)+4.0×10−3]×100=2.4×10−3×100=0.24%