Figure P8.47 shows a portion of a pump that 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 Su = 1000 MPa, Sy = 800 MPa. The tangential, axial, and radial components of force applied to the gear are shown. 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 and are shown on the drawing. Estimate the safety factor with respect to eventual fatigue failure at the fillet.
