Question

The shaft shown in the figure is supported on bearings located at A and D. The shaft is made from AISI 1050 steel with a yield strength of 580 MPa and an ultimate strength of 690 MPa. The shaft dimensions are in millimeters and each step has the diameter shown. There are fillets with 2 mm radii at each step in the diameter. The shaft has a machined surface finish. A reliability of 99% is desired for this application. The shaft rotates while the force applied as shown is stationary. The force is 3 kN. Determine the expected life of the shaft. D B A -250- -75 100 -125- F-3 KN k-10 10 -35 32 30 38 RZ

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Answer 1

tere the bendinq momert diameter large, The pmaller, and the otress coneriba ics exists The bending oment at M 23(250)= 301.5 KN-mm this point is 2 32 rev O.D6R5 32M 32(250) Kt= 84 TTd3 TT(32)3 rey17.7MPa 38 - 11875 32 - 100 ksi Sut 690 M Pax_lksi 6.89 MPa from fig Sut = 100ksi Ut -2mm-0.08in gn9-081 6-20 - 1+0.81(-84-) Kl+9 (kt- Ki168 Sc= 0.55ut = 0.5(69 345 MPa (Table 6-2 ka = asutb-45| (690) o1 (a eg6-20 Kip = 1-24d010T24 (32)0 10T_ ke Cbending) 0.86 Table 6-5) ke = O.814 ka kb ke ke Se Se = CO19)t08)0 (0-814)845) Se 190.8 MPa =190.8 Se (168)(T7.7) K rev factor osafety 91.1-i gredicted is