Problem $2$:

The pin$-$connected structure shown consists of a rigid bar ABC, a steel bar $(1),$ and a steel rod $(2).$ The cross$-$sectional area of bar $(1)$ is $A_l=0\mathrm{.}4in.{?}^2$ and its length is $L_{\text{I}}=24in.$ The diameter of rod $(2)$ is $d_2=0\mathrm{.}3in.$ and its length is $L_2=70$ in $.$ Assume $E=30,000$ksi for both axial members. Use $a=18$ in$.,b=32$ in$.,c=20$ in$.,$ and $P=12$kips.

c$.$ Determine the normal stresses in bar $(1)$ and rod $(2).$ Draw a stress element for a point on each member, showing its normal stress. Include coordinate axes and label the stresses, showing proper direction and magnitude. Also show the locations of the stress elements on the diagram at right $($or your own$).$

a$.$ Determine the deflection of pin $C$ from its original position.