In a centrifugal pump system used by DWASA a rotating shaft plays a critical role in power transmission and structural support. The shaft is simply supported over a span of 2 m and a concentrated transverse load of 300 N at its midpoint. It rotates at 1440 rpm while delivering 15 kW of Mechanical power. Determine (a) the torque generated by the shaft due to power transmission, (b) the maximum bending moment (c) the bending stress and torsional stresses assuming a shaft diameter of 30 mm (d) the required shaft diameter to safely carry the loads if the maximum allowable stress is 60 MPa using Maximum shear stress theory (e) Evaluate the actual factor of safety.

Question:

In a centrifugal pump system used by DWASA a rotating shaft plays a critical role in power transmission and structural support. The shaft is simply supported over a span of 2 m and a concentrated transverse load of 300 N at its midpoint. It rotates at 1440 rpm while delivering 15 kW of Mechanical power. Determine (a) the torque generated by the shaft due to power transmission, (b) the maximum bending moment (c) the bending stress and torsional stresses assuming a shaft diameter of 30 mm (d) the required shaft diameter to safely carry the loads if the maximum allowable stress is 60 MPa using Maximum shear stress theory (e) Evaluate the actual factor of safety.