A solid circular shaft is acted upon by the torques as shown. If G= 12, 000 ksi determine: a. Rotation of wheel D with respect to A. b. Shear stress at point E Diameter of shaft: A-B = 2in C-D = 2in B-C = 4in T1 = 2.5 π in.kips T2 = 8.5 π in.kips T3 = 7 π in.kips T4 = π in.kips

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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.