Question

obtain relations between volume strain and longitudinal strain​

Answer 1

longitudinal strain =change in length/ original length =dl/l

volume strain = change in volume / original volume = dv/v

v =l^3

dv =d(l^3)=3l^2×dl

dv/v = 3 l^2 dl/v =3l^2×dl/l^3 =3 dl/l

volume strain = 3× longitudinal strain

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