SOLIDMECHIANICS

Example $15$

A cylindrical rod is placed inside a tube of same length. Ends of the rod and tube are attached to a rigid support on one side and a rigid plate on the other. Load on the assembly is increased from $0$ to $25$ kN and then decreased back to $0.$

a$)$ draw load$-$deflection diagram for assembly

b$)$ find max elongation

$A_r=48m{m}^2,A_t=62m{m}^2$

$E_r=210$GPa,$E_t=105$GPa

$({}_r{)}_Y=250$MPa,$({}_t{)}_Y=310$MPa

c$)$ find permanent set

d$)$ calculate residual stresses in the rod and the tube.