Question

Calculate the strain energy per unit volume is a brass wire of length 3 m and area of cross - section 0.6 mm² when it is stretched by 3 mm and a force of 6 kgwt is applied to its free end.

Answer 1

Data : L = 3m

A = 0.6 mm² = 0.6 × 10-6 m²

l = 3 mm = 3 × 10^-3 m

F = 6 kg-wt = 6 × 9.8 N

Formula:

`"Strain Enegry"/"Volume" = 1/2 (F/A) xx (1/L)`

= `1/2 ((6xx9.8)/(0.6 xx 10^(-6)))xx((3xx10^(-3))/3)`

= `4.9 xx 10^(4)" J/m"^3`