Problem # $6$: A nominal $1\frac{\frac{11}{2}-in}{?}.-$diameter Schedule $40$ steel pipe is used as a shaft to carry a torque, $T=6000lb.-$ in$.$ Compute the torsional shear stress, $,$ due to this torque at the outside and the inside surfaces of the hollow pipe section.

A$)$ Shear stress at outside diameter $={}_{o.d.}=T\frac{r_{o.d.}}{J}=$ psi

B$)$ Shear stress at inside diameter $={}_{i.d.}=T\frac{r_{i.d.}}{J}=$ ssi