$11-50$ The gear$-$reduction unit shown has a gear that is press fit onto a cylindrical sleeve that

rotates around a stationary shaft. The helical gear transmits an axial thrust load T of $250$

lbf as shown in the figure. Tangential and radial loads $($not shown$)$ are also transmitted

through the gear, producing radial ground reaction forces at the bearings of $875$ lbf for

bearing A and $625$ lbf for bearing B$.$ The desired life for each bearing is $90$ kh at a speed

of $150$rev$//$min with a $90$ percent reliability. The first iteration of the shaft design indicates

approximate diameters of $11/8$ in at A and $1$ in at B$.$ Assuming distribution data from

manufacturer $1$ in Table $11-6,$ select suitable tapered roller bearings from Figure $11-15.$