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The rotating solid stedl 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 TA-340 N m. The shaft is machined from steel with Sy- 420 MPa and Sut-560 MPa Using a factor of safety of 25, 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 and b) a fatigue-failure analysis. Assume sharp fillet radii at the bearing shoulders for estimating stress-concentration factors TA 250 mm 100 mm 20
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Answer #1

F = (2x 340) 0-15 CO 20-4624-N Maximum bendin moment wl be at boiht c c = 4824 (0-1 ) = 483.4-N-m Dve to stotuhion, bendk ing is compltdy uvensed, while torkioh oreV Fnom Table rlo m Agud with Sut-. 560.MA Stohc yield anal서씨x d3sy l6 maX 3 2. 16 (2-s) Assume - kb- o 8s wi th 16 (2-5) q-t ( 82-4) 2-1 (34-o 420 (loG)d = 53,4 mm a me kb 1.51 Assqming Shan let iadiu From table -We 16 (2- s) 2- 2 (482- 4)12 -3 (340) + 3

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