Two solid steel shafts are joined by couplings that are forged integrally with the shaft as shown. The diameter

of the shaft and bolt circle are do $=5in.$ and $D_{BC}=10$ in$.,$ the flange has a thickness $t_{FL}=0\mathrm{.}5$ in$.$ and

there are eight $\frac{7}{8}-$in$.-$diameter bolts. If the allowable shear stress in the shaft is $7,800$ psi, $($a$)$ determine the

full torque capacity of the shafts based on shear stress and with that value provide $($in the box below$)$ the value of the the bearing stress on the flange caused by each bolt. $5$ significant figures. Estimated time: $10$ minutes.