Normal Strain and Shear Strain

The rectangle deforms into the posltion shown by the dashed lines.

Determine the shear strain at corner $A,V_A,$ relative to the $x,y$ axes. $(5$ pts$)$

a$.-9\mathrm{.}98({10}^{-3})rad$

b$.-9\mathrm{.}29({10}^{-3})rad$

c$.9\mathrm{.}66({10}^{-3})rad$

d$.9\mathrm{.}00({10}^{-3})rad$

Determine the normal strain along diagonal line ${}_{AC.}(5$ pts$)$

a$.11\mathrm{.}5({10}^{-3})m\frac{m}{m}m$

b$.12\mathrm{.}4({10}^{-3})m\frac{m}{m}m$

c$.12\mathrm{.}9({10}^{-3})m\frac{m}{m}m$

d$.12\mathrm{.}0({10}^{-3})m\frac{m}{m}m$

Thermal Axial Deformation

A structural member in a nuclear reactor is made of a zirconium alloy: $E_{2x}=16({10}^3)ksi,{}_{\text{z}\text{i}\text{r}\text{c}}=7\mathrm{.}3\frac{{10}^{-5}}{}F,v_{zx}=0\mathrm{.}33,.$ The member has a diameter $=1\mathrm{.}5$ in and is $1\mathrm{.}75$ feet long before loading. The initial temperature is $60F.$

Determine the Final Temperature, $T_{\text{f}\text{i}\text{n}\text{a}\text{l}},$ required to cause elongation in the member of $0\mathrm{.}015$ in$.(10$ pts$)$

$T_{\text{f}\text{i}\text{n}\text{a}\text{l}}=$