A shaft supported between two bearings 750 mm apart, receives 12.5 kW power at 300 rpm through a coupling located to the left of left-hand bearing. It transmits the power to a belt pulley of weight 300 N and diameter 450 mm, which is located at 200 mm to the right of right-hand bearing. The ratio of belt tensions of tight and slack sides is 2:1. The belt tensions act in vertically downward direction. The shaft material has a yield strength of 300 MP & an ultimate tensile strength of 550 MPa . The combined shock & fatigue factor for bending & torsion are 1.5 & 1 respectively. Determine the shaft diameter using ASME code

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Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.