Course Solutions Uncategorized (Answered) : Rotating Solid Steel Shaft Simply Supported Bearings Points B C Driven Gear Shown Meshes 1 Q28151490

(Answered) : Rotating Solid Steel Shaft Simply Supported Bearings Points B C Driven Gear Shown Meshes 1 Q28151490

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 150-mm pitch diameter spur gear aD. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point of T A = 330 N • m. The shaft is machined from steel with Sy = 420 MPa and S ut = 560 MPa. Using a factor of safety of 2.2, determine the minimum allowable diameter of the 250-mm section of the shaft to prevent localized static yielding based on the distortion-energy theory. Assume sharp fillet radii at the bearing shoulders for estimating stress-concentration factors.

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