Pulleys A and B are separated by 450 mm. The shaft has a diameter of 40 mm and is made of steel with G=75GPa�=75GPa. Pulley A has a radius of 100 mm and pulley b has a radius of 150 mm. The belt on pulley A has a tension of 4 kN in the counter-clockwise direction and a tension of 10 kN in the clockwise direction. The belt on pulley B has a tension of 6 kN in the counter-clockwise direction and a tension of 2 kN in the clockwise direction. What is the angle of twist (in degrees) of pulley B relative to pulley A?

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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.