Example Problems: Deformation and Strain

$5\mathrm{.}7$ A concrete test cylinder is loaded with $P=100k$ and a resulting shortening of $0\mathrm{.}036$ inch. Determine the unit strain developed in the concrete.

Solution:

$=\frac{}{L}=\frac{{0\mathrm{.}036}^{\text{'}\text{'}}}{{12}^{\text{'}\text{'}}}=0\mathrm{.}003in\frac{.}{i}n.$

Note that the value of unit strain is obtained by dividing a length by a length. The result is simply a ratio.