GE $213$ Assignment $6$

A cylindrical rod HC has a diameter of $37\mathrm{.}2$ mm $,$ and is fixed at end H $.$ The rod is made of steel with Young's modulus $E=200$GPa and coefficient of thermal expansion $=11\mathrm{.}7\frac{{10}^{-6}}{}C.$ An axial force of $63$ kN is applied at B $,$ and the rod is subjected to a temperature increase of $36\mathrm{.}4C.$ Before application of the force and the temperature increase, there was a gap of $0\mathrm{.}307$ mm between end C of the rod and the wall to the right of end C $.$ Determine the reactions at H and C after application of the $63$ kN force and the temperature increase. As part of your solution, show all free body diagrams corresponding to the internal forces produced in the rod. Assume that the weight of the rod is negligible and that no buckling occurs. Assume that all given values are exact. Assume it is known that end C of the rod makes contact with the wall.

$($Final Answers: $61\mathrm{.}8$kNlarr,$1\mathrm{.}18$kNlarr $)$