Longitudinal strain, εL=0.2%=0.002 Poisson's ratio, µ=0.3 We are asked to find the volume strain (εV). Step 1: Recall the formula for volume strain For small deformations, Volume strain =εV=εL(1−2µ) However, to be more precise, the change in volume ∆V∕V=εL+2εt, where εt=−µεL (lateral strain is negative if the material stretches longitudinally). So,
∆V
V
=εL+2(−µεL) ⇒εV=εL(1−2µ) Step 2: Substitute the values εV=0.002(1−2×0.3) εV=0.002(1−0.6) εV=0.002×0.4=0.0008 Step 3: Convert to percentage εV=0.0008×100=0.08% Final Answer: 0.08%
