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 AB'C'D shown after a load is applied with a

$=164\mathrm{.}0$ mm

$,$ b

$=60\mathrm{.}0$ mm

$,$ g

$=14\mathrm{.}0$ mm

$,$ f

$=15\mathrm{.}0$ mm

$,$ and e

$=6\mathrm{.}0$ mm

$.$The figure shows flat rectangular plate A B C D in the x y plane. Point A lies at the origin. Point B lies on the positive y axis at distance a from the origin. Point D lies on the positive x axis at distance b from the origin. Point C lies in the first quadrant. After a load is applied the plate assumes shape A B prime C prime D$.$ B prime C prime is parallel to B C$.$ Point B prime is shifted from B in the positive x direction at horizontal distance g$.$ Point C prime is shifted from C in the positive x direction at horizontal distance f and in the positive y direction at vertical distance e$.$

Part A $-$ Average normal strain along AC

Determine the average normal strain $($AC$)$avg

along AC after the load has been applied.

Express the average normal strain in millimeters per millimeter to three significant figures.

View Available Hint$($s$)$for Part A

Activate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

$($AC$)$avg

$=$

mm$/$mm

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Part B $-$ Average shear strain at A

Determine the average shear strain $\backslash$gamma xy

at A relative to the x and y axes.

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

View Available Hint$($s$)$for Part B

Activate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

$\backslash$gamma xy

$=$

nothing

rad

Part C $-$ Average shear strain at point C

Determine the average shear strain $\backslash$gamma xy

at point C relative to the x and y axes after deformation.

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