The torsional assembly shown below consists of a solid bronze (Gronze=45 GPa) and a hollow aluminum alloy (Galu = 80 GPa) shaft EF. The two ends are rigidly fixed to walls. The two flanges D and E are bolted together, but the bolt clearance allows flange D to rotate through 0.02 radians before EF carries any of the load. Torque is applied to flange D. Determine the maximum shear stress in each of the shafts when the torque T = 55500 N-m is applied to flange D.

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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.