(Solved): The shaft shown in the Figure below is designed with a journal (shaft) diameter of 48.6 mm. Design ...

The shaft shown in the Figure below is designed with a journal (shaft) diameter of 48.6 mm. Design suitable bearings to support the load for at least 3E8 cycles at 250 rpm using hydrodynamically lubricated bronze sleeve bearings. The dimensions of the shaft are as follows: shaft length (l) is 20 cm, distance from the first bearing to the load (b) is 18 cm, distance between the bearings (a) is 16 cm. The bearings need to support a distributed load being placed on the shaft (p) that is 1000 N/cm, with a repeated torque between 0 N·m to 2000 N·m. We want to use a On= 30, bearing length ratio of 1.00 and clearance ratio of 0.002. (Hint: Develop load function using singularity functions in order to find the reaction forces at each bearing). d ? assume bearings act as simple supports