A0.75" diameter solid steel shaft is connected by the steel bolted coupling shown. The maximum allowable shear stress in the steel is 18 ksi (shaft and bolts). The coupling consists of steel bolts that are 1/8" diameter and the bolt holes are equally spaced and centered on a 4" diameter circle (2" radius from the center of the shaft to the center of a bolt hole). Determine a) The maximum torque that the shaft can carry Ansi l,491"* b) The number of bolts required for the torque in part a). Assume the bolts fail by shearing at the coupling interface and the shear stress is uniform across the bolt's cross sectional area.

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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.