A round shaft supports a transverse load of F= 15,000 lbf and carries a torque of T = 7 kip-in, as shown in the figure. The shaft does not rotate. The shaft is machined from AISI 4340 steel, quenched and tempered at 600°F. Document the location of the critical stress element and how you determined that element to be critical. Do not assume transverse shear stress is negligible without proving it. 1.1-in dia. 1.5-in dia. B F The minimum factor of safety is 1.3-in dia. 1 in RD T Determine the minimum factor of safety based on yielding according to the maximum-shear-stress theory.

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A: given : t = 6.07mm = 0.00607 m F = 38.9 KN = 38900 N τ = 54.4 MPa = 54.4 x 106 N/m2

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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.