Give the following problem a try. If you get stuck, here is one way to work it: Essential Solution Video.

A nylon $[E=330$ksi;$v=0\mathrm{.}4(1)$ having a diameter of $d_1=3\mathrm{.}18in.$ is placed inside a steel $E=29,000$ksi;$v=0\mathrm{.}29$ tube $(2)$ as shown in the figure. The inside diameter of the steel tube is $d_2=3\mathrm{.}20in.$ An external load $P$ is applied to the nylon rod, compressing it$.$ At what value of $P$ will the space between the nylon rod and the steel tube be closed?

Part $1$

Determine the lateral strain of the nylon rod required to close the space between the nylon rod and the steel tube. Use the correct sign based on the sign conventions for strain.

${}_{\text{l}\text{a}\text{t}}=$ in$./$in$.$