b$)$ Design the input shaft for infinite life

c$)$ Select the bearing for input shaft and find the C$10$ value for $87,600$ hours for operation.

d$)$ Design the housing for the gearbox for easy assembly and disassembly with four bolts, what would be the approximate size and type of bolts used.

e$)$ What would be an appropriate dimension of Y rom picture to in this design?

For this design multiple assumptions have to be made, justify each assumption.