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2. (12 pts) A shaft w ith a step in diameter is made of SAE 1045 steel. It is required to withstand 107 cycles kN. The shaft has 2(a), di 25 mm, d2-30 mhm, and ρ :0.625 mm. Use Peterson's fitted on (equation below) for a value of a. Modification factors shall be applied for the following of an axial force amplitude P, 16kN applied along with a mean force of Pm dimensions, as in Figu ure A.1 .The notch radius p has a machined finish. . Size factor from Fig.10.9. Determine the safety factor in stress, X. Material Properties: σ0 = 683 MPa; συ = 758 MPa (110 ksi); ơ; = 938 MPa; A = 897 MPa; b = B =-0.0648 kt-1 Equations: Use the Goodman equation to calculate the service fully reversed stress amplitude, Sar. from the service amplitude, Sy, and the service mean stress, $ log α = 2.654x10-7σ2-1.309x10-3ơu + 0.0 1103; α, mm-10log"; Sa ur συ Figure A. 12 3.0 3.0 2.6 2.6 1.5 1.2 1.8 1.4 1.4 1.02 1.02 0 0.05. 0.1 0.1 0.2 0.25 0.3 1.00-0.05 0.1 0.15 0.2 025 0.3 pldi 3.0 d2d26 2.6 2.2 2.2 81.1 1.8 d2/d1 = 1.43 2.0 d2/d -1.43 1.05.1.1 1.4 1.02 1.0 0 0.05 0.1 0.15 0.2 0.25 0.30.05 0.1 0.15 0.2 0.25 0.3 1.0 pldy p/d1 Figure 10.9 d, in. 0.4 Steels, smooth rotating bending 1.2 c 1.1 E 0.9 0.8 d-7.62 mm 0.7 10 20 40 60 30 50 d, Diameter of Test Section, mm

Answer 1

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Solution :

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