(Solution) - The stepped shaft shown in the figure is required to -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft has a full quarter-circular fillet, and the smaller diameter D1 = 100 mm.
If the allowable shear stress at the stress concentration is 100 MPa, at what diameter D2 will this stress be reached? Is this diameter an upper or a lower limit on the value of D2?