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$x{}_x=0\mathrm{.}680mmh=144\mathrm{.}0mmw=92\mathrm{.}50mmL=252\mathrm{.}0$mmE$={200}_{{?}_{?}}|GPa||v=0\mathrm{.}32P,$ which causes the shape

$to$ contract longitudinally $in$ the $x$ direction a distance $of{}_x=0\mathrm{.}680mm.$ Let $h=144\mathrm{.}0mm,$

$w=92\mathrm{.}50mm,$ and $L=252\mathrm{.}0mm$ Assume the element $is$ made from steel that has a modulus $of$

elasticity $ofE={200}_{{?}_{?}}|GPa$ and a value $of$ Poisson's ratio $ofv||=0\mathrm{.}32.(Figure1)$

Figure

Learning Goal:

To use Hooke's law to determine the value of an axial load applied to a rectangular

shape and to determine its lateral expansion.

The element shown below is subjected to the axial compressive force $P,$ which

causes the shape to contract longitudinally in the $x$ direction a distance of

${}_x=0\mathrm{.}680mm.$ Let $h=144\mathrm{.}0mm,w=92\mathrm{.}50mm,$ and $L=252\mathrm{.}0mm.$ Assume

the element is made from steel that has a modulus of elasticity of $E=200$GPa and

a value of Poisson's ratio of $v=0\mathrm{.}32.($Figure $1)$

Figure