$(3$ points$)$ three segment shaft bore $01$

Torque $T_C$ is supplied to the shaft shown, which rotates at a constant velocity. This supply torque drive rque loads of $T_A,T_B,$ and $T_D$ at $A,B,$ and D $,$ respectively. The outer diameter of each shaft segment is given below. The shaft is to be hollow, with a uniform bore diar er of $d_{\text{b}\text{o}\text{r}\text{e}}$ along the entire length of the shaft. If the shaft is composed of $6061-$T$6$ aluminum, and a factor of safety of $1\mathrm{.}5$ must be maintained against yielding, find the maximum allowable value for $d_{\text{b}\text{o}\text{r}\text{e}}.$

$\backslash$table$[[T_A,T_B,T_C,T_D$