A pump is gear$-$driven at uniform load and speed. The shaft is supported by bearings mounted in the pump housing. The shaft is made of steel having know values of Su and Sy$.$ The tangential$,$ axial and radial components of force applied to the gear are known. The surface of the shaft fillet has been shot$-$peened, which is estimated to be equivalent to a laboratory mirror$-$polished surface. Fatigue stress concentration factors for the fillet have been determined. Estimate the safety factor with respect to eventual fatigue failure at the fillet.

Schi