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The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by a gear (not shown) which meshes with the spur gear at D, which has a 150-mm pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of T 400 N m. The shaft is machined from steel with S, 420 MPa and Su 560 MPa. Using a factor of safety of 2.5, determine the minimum allowable diam- eter of the 250-mm section of the shaft based on (a) a fatigue-failure analysis. Assume sharp fillet radii at the bearing shoul ders for estimating stress-concentration factors. TA 250 mm 100 mm 20
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