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​The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by gear (not shown) which meshes with the spur gear at D


The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by 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 TA = 340 N.m. The shaft is machined from steel with Sy= 420 MPa and Sut = 560 MPa. The fatigue stress concentration factor is 1.81 and the fatigue shear stress concentration factor is 1.46. 

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 Using a factor of safety of 2.5, determine the minimum allowable diameter of the 250-mm section  of the shaft based on:

 a) A static yield analysis using the distortion energy theory

 b) A fatigue-failure analysis using the DE-ASME Elliptic criteria

engineering   Mechanical-Engineering   
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