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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 ${}_x=10$ksi and ${}_y=6$ksi. Know that $E=29{10}^6$ and $v=0\mathrm{.}30.$

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

Determine the change in length of diagonal $AC.$

The change in length of diagonal $AC$ is

${10}^{-6}in$