In the figure, rigid bar ABC is support by a pin at $B$ and by post $(1)$ at $A.$ However, there is a gap of $=8mm$ between the rigid bar at A and post $(1).$ After load $P$ is applied to the rigid bar, point $C$ moves left by $9mm.$ If the length of post $(1)$ is $L_1=2\mathrm{.}00m,$ what is the average normal strain that is produced in post $(1)?$ Use dimensions of $a=1\mathrm{.}30m$ and $b=0\mathrm{.}80m.$ Use the correct sign conventions for normal strain.

$$ Part B

A thin rectangular polymer plate $PQRS$ of width $b=418mm$ and height $a=188mm$ is shown in the figure. The plate is deformed so that corner $Q$ is displaced upward by $c=3\mathrm{.}2mm$ and corner $R$ is displaced leftward by the same amount. Determine the shear strain at corner $P$ after deformation.

$=$

$rad$

$$ part C

$$

The simple mechanism shown in the figure can be calibrated to measure temperature change. Use dimensions of $a=26mm,b=88mm,$ and $L_1=166mm.$ The coefficient of thermal expansion for member $(1)$ is $20\mathrm{.}0\frac{{10}^{-6}}{}C.$ Determine the horizontal displacement of pointer tip $D$ of the mechanism shown in response to a temperature increase of $45C.$ Assume that pointer BCD is not affected significantly by temperature change. Enter a positive value if tip $D$ displaces to the right; enter a negative value if it displaces to the left.

$u_D=mm$