Category : JEE Main & Advanced
When a long bar is stretched by a force along its length then its length increases and the radius decreases as shown in the figure.
Lateral strain : The ratio of change in radius or diameter to the original radius or diameter is called lateral strain.
Longitudinal strain : The ratio of change in length to the original length is called longitudinal strain.
The ratio of lateral strain to longitudinal strain is called Poisson's ratio \[(\sigma )\].
i.e. \[\sigma =\frac{\text{Lateral strain}}{\text{Longitudinal strain}}\]
\[\sigma =\frac{-dr/r}{dL/L}\]
Negative sign indicates that the radius of the bar decreases when it is stretched. Poisson's ratio is a dimensionless and a unitless quantity.
You need to login to perform this action.
You will be redirected in
3 sec