The two shafts are made of A-36 steel (shear modulus G = 75 MPa). Each has a diameter of 25  mm, and they are supported by bearings at A, B, and C, which allow free rotation. If the support  at D is fixed, determine a.) the angle of twist of end A and b.) the maximum torsional stress in  the shaft, when the two torques of 60 N-m are applied to the assembly as shown, one on shaft AB and the other on shaft CD .

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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.