Machine Design I

A shaft rotating at constant speed is subjected to variable load. The bearings supporting the shaft are subjected to stationary equivalent radial load of 3 kN for 10 percent of time, 2 kN for 20% of time, 1 kN for 30% of time and no load for remaining time of cycle. If the total life expected for the bearing is (20\times10^6) revolution at 95% reliability, calculate dynamic load rating of the ball bearing.