A solid brass $[E=101$ GPa$]$ axial member is loaded and supported as shown. Segments $(1)$ and $(2)$ each have a diameter of $27$ mm and segment $(3)$ has a diameter of $16$ mm $.$ Assume $L_1=1\mathrm{.}9m,L_2=1\mathrm{.}2m,L_3=1\mathrm{.}6m,R=40kN,Q=12kN,$ and $P=22kN.$ Determine:

$($a$)$ the deformation of segment $(2).$

$($b$)$ the deflection of joint $D$ with respect to the fixed support at $A.$

$($c$)$ the maximum normal stress in the entire axial member.

$($a$)$ Determine the axial force in section $(2)$ in kN $.$

Answer: $F_2=$ kN $.$