A 76 mm solid shaft is to be replaced with a hollow shaft of equal torsional strength. Find the percentage of the weight saved, if the outside diameter of the hollow shaft is 100 mm. A. 46.56% B. 76.56% C. 66.56% D. 56.56%

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Q: Do the stress concentrations exist on a shaft?

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Q: Find the section modulus of shaft having 2.5 in diameter. A 3.07 in B. 4.56 in C 5.45 in D. 8.46 in

A: Given data : Shaft of 2.5 in diameter Diameter of shaft=d   Required : Section modulus

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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.