Problem $7\mathrm{.}5-11$

A $4\mathrm{.}0$ in cube of concrete $(E=4\mathrm{.}5{10}^{-6},v=0\mathrm{.}2)$ is compressed in biaxial stress by means of a framework that is loaded as shown. Assuming that each load $F$ equals $25$ kips, determine the change in volume of the cube, $V.$

Solution:

P$..$