Give the following problem a try. If you get stuck, here is one way to work it: Essential Solution Video.

The polymer bar shown in the figure below has a width of $b=52mm,$ a depth of $d=101mm,$ and a height of $h=253mm.$ At a compressive load of $P=150kN,$ the bar height contracts by $h=-2\mathrm{.}70mm,$ and the bar depth elongates by $d=0\mathrm{.}36mm.$ At this load, the stress in the polymer bar is less than its proportional limit$.$ Determine:

$($a$)$ the modulus of elasticity.

$($b$)$ Poisson's ratio.

$($c$)$ the change in the bar width $b.$

$($a$)E=$ GPa

$($b$)v=$

$($c$)b=mm$