Find the fractionalincreasein volumeof a wireof circularcross section if its longitudinalstrainis 1% . (sigma=0.30)

Find the fractionalincreasein volumeof a wireof circularcross section

1.	Find the fractionalincreasein volumeof a wireof circularcross section if its longitudinalstrainis 1% . (sigma=0.30)
Answer» SOLUTION :we know that `(dV)/(V) =(dL)/(L) (1-2sigma)` Here, `(dL)/(L) =1% =(1)/(100) =0.01, SIGMA =0.30`. The FRACTIONAL increase in VOLUME, `(DeltaV)/(V) =0.01 (1-2xx0.30) =0.01 xx 0.40 =0.004`.