E=205 kN/mm²= 205•10⁹ N/m².
F/A = E•ε(longitudinal)
ε=ε(longitudinal) = F/A•E=
If a=0.2 m, b=c=0.002 m, ε=4.9•10⁻⁴,
μ = 0.3
V=abc = 0.2•0.002•0.002 =8•10⁻⁷ m³
The deformed volume is
V₁ =(1+ ε)a•(1- μ ε)b•(1- μ ε)c .
Neglecting powers of ε, the deformed volume
V₁ =(1+ ε - 2•μ•ε)V .
The change in volume is
ΔV = ε(1- 2•μ)V =
=4.9•10⁻⁴(1 - 2•0.3)•8•10⁻⁷ =
Unit volume expansion, e
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