Learning Goal:

To determine the average normal strain and average shear strain in a known material based on a given load and geometry.

A flat plate ABCD distorts into the dashed shape $A{B}^{\text{'}}{C}^{\text{'}}D$ shown after a load is applied with $a=164\mathrm{.}0mm,b=50\mathrm{.}0mm,g=15\mathrm{.}0mm,f=15\mathrm{.}0mm,$ and $e=12\mathrm{.}0mm.$

Part B $-$ Average shear strain at $A$

Determine the average shear strain ${}_{xy}$ at A relative to the $x$ and $y$ axes.

Express the average shear strain in radians to three significant figures.

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Part C $-$ Average shear strain at point $C$

Determine the average shear strain ${}_{xy}$ at point $C$ relative to the $x$ and $y$ axes after deformation.

Express the average shear strain in radians to three significant figures.

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