$($a$)$ A rectangular ASTM A$36$ steel bar $6$ inch by $9$ inch in cross$-$section is subjected to an axial

tensile load of $330,000lb.$ The proportional limit of the steel is $34,000.$ Compute the change

in the transverse $9-$inch dimension.

$($b$)$ Modulus of elasticity, modulus of rigidity, and Poisson's ratio are interrelated,

Calculate $($Poisson$\text{'}$s Ratio: Mu$)$ for $E=16,850,000$ psi and $G=5,850,000$ psi