w are fac$-1\mathrm{.}23.$ Use the mechanics of materials method to derive the

load$-$stress and load$-$displacement relations for a solid circular

rod of constant radius $r$ and length $L$ subjected to a torsional

moment $T$ as shown in Figure P$1\mathrm{.}23.$

$1\mathrm{.}23.$ Use the mechanics of materials method to derive the

load$-$stress and load$-$displacement relations for a solid circular

rod of constant radius $r$ and length $L$ subjected to a torsional

moment $T$ as shown in Figure P$1\mathrm{.}23.{?}_H^{\text{l}\text{o}\text{n}\text{g}\text{r}\text{i}\text{g}\text{h}\text{t}\text{a}\text{r}\text{r}\text{o}\text{w}}C{?}_x$