A hollow, circular, cast-iron pipe $\left(E_{c}=\right.$ $12,000 \text { ksi })$ supports a brass rod $\left(E_{b}=14,000 \mathrm{ksi}\right)$ and weight $W=2$ kips, as shown. The outside diameter of the pipe is $d_{c}=6$ in.
(a) If the allowable compressive stress in the pipe is 5000 psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness $t_{c, \min } ?$ (Include the weights of the rod and steel cap in your calculations.)
(b) What is the elongation of the brass rod $\delta_{r}$ due to both load $W$ and its own weight?
(c) What is the minimum required clearance $h ?$