A solid brass $[E=95$GPa axial member is loaded and supported as shown. Segments $(1)$ and $(2)$ each have a diameter of $24$ mm and segment $(3)$ has a diameter of $10$ mm $.$ Assume $L_1=1\mathrm{.}7m,L_2=1\mathrm{.}3m,L_3=1\mathrm{.}6m,R=40kN,Q=16$ kN $,$ 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.