A rectangular steel block is $300mm$ in the $x$ direction, $200mm$ in the $y$ direction, and $150mm$ in the $z$ direction. The block is subjected to a triaxial loading consisting of three uniformly distributed forces as follows; $250kN$ tension in the $x$ direction, $320kN$ compression in the $y-$ direction, and $180kN$ tension in the $z-$ direction. For steel, $n=0\mathrm{.}30$ and $E=200$Gpa.

Determine a single distributed loading in the $y$ direction that produced the same $x$ deformation as the original loading.