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.

$=$

$rad$

A solid circular rod with a diameter of $d=20mm$ is shown in the figure. The bar is made of an aluminum alloy that has an elastic modulus of $E=71$GPa and Poisson's ratio of $v=0\mathrm{.}35.$ When subjected to the axial load $P,$ the diameter of the rod decreases by $0\mathrm{.}028mm.$ Determine the magnitude of load $P.$

Answer: $P=$

$kN$

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 $\frac{?}{{?}_{\frac{?}{?}}}=8mm$ 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.

${}_1=$

i

$!R$ explain and show all work please and write clearly answer all parts A to C or I will give you a thumbs down and report you

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