Given a 12 mm bar, with a load such that em = 200 MPa and dea = 250 MPa. (SUT = 1200 MPa and Sy= 950 MPa, with a machined surface, assuming 90% reliability, and operating temperature of 200 °C) a) Sketch the appropriate material fatigue failure diagram. Be sure to include numerical values, units, and label axes. b) Find the safety factor for infinite life, if the loads increase proportionally c) Find the safety factor for infinite life, if the loads increase such that dea -= constant). dea dem constant.

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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.