To become familiar with and apply the concepts of maximum sustainable torque and power to solid and hollow circular shafts. A solid circular shaft and a tubular shaft, both with the same outer radius of c=co = 13.0 mm, are being considered for a particular design. The tubular shaft has an inner radius of ci = 8.00 mm. The shafts are to be powered by a motor operating at a frequency of f = 3.00 Hz and are to handle an attached load. Assume the cross-sections are uniform throughout the lengths of the shafts and that the materials have allowable shear stress of τallow = 96.0 MPa.   PART A: Determine the maximum sustainable torque that the solid shaft can handle.   PART B: Determine the maximum sustainable torque that the tubular shaft can handle.   PART C: Determine the maximum sustainable power that the solid circular shaft can handle without failing.   PART D: Determine the maximum sustainable power that the tubular circular shaft can handle without failing.

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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.