Problem $02\mathrm{.}069-$ Poisson's ratio and generalized Hooke's Law, biaxial loading

A $1-$in$.$ square was scribed on the side of a large steel pressure vessel. After pressurization the biaxial stress condition at

the square is as shown, where ${}_x=14$ksi and ${}_y=6$ksi. Know that $E=29{10}^6$ psi and $v=0\mathrm{.}30.$

Problem $02\mathrm{.}069.$b $-$ Poisson's ratio and generalized Hooke's Law, biaxial loading

Determine the change in length of side $BC.$

The change in length of side $BC$ is

${10}^{-6}in$