# A schematic of a clutch-testing machine is shown. The steel shaft rotates at a constant speed .

## Question:

T = f P (D + d)

4 Where D and d are defined in the figure and f is the coefficient of friction of the clutch face. The shaft is machined with Sy = 800 MPa and Sut = 1000 MPa. The theoretical stress concentration factors for the fillet are 3.0 and 1.8 for the axial and torsional loading, respectively.

(a) Assume the load variation P is synchronous with shaft rotation. With f = 0.3, find the maximum allowable load P such that the shaft will survive a minimum of 106 cycles with a factor of safety of 3. Use the modified Goodman criterion. Determine the corresponding factor of safety guarding against yielding.

(b) Suppose the shaft is not rotating, but the load P is cycled as shown. With f = 0.3, find the maximum allowable load P so that the shaft will survive a minimum of 106 cycles with a factor of safety of 3. Use the modified Goodman criterion. Determine the corresponding factor of safety guarding against yielding.

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**Related Book For**

## Fundamentals of Thermodynamics

**ISBN:** 978-0471152323

6th edition

**Authors:** Richard E. Sonntag, Claus Borgnakke, Gordon J. Van Wylen