(Solved): please help its urgent  A schematic of a clutch-testing machine is shown. The steel shaft rotat ...

A schematic of a clutch-testing machine is shown. The steel shaft rotates at a constant speed. An axial load is applied to the shaft and is cycled from zero to \( P \). The torque \( T \) induced by the clutch face onto the shaft is given by \[ T=\frac{f P(D+d)}{4} \] 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 \( S_{y}=120 \mathrm{kpsi} \) and \( S_{u t}=145 \mathrm{kpsi} \). The theoretical stress-concentration factors for the fillet are \( 3.0 \) and \( 1.8 \) for the axial and torsional loading, respectively. Assume the load variation \( P \) is synchronous with shaft rotation. With \( S_{f}=0.3 \), find the maximum allowable load \( P \) such that the shaft will survive a minimum of \( 10^{6} \) cycles with a factor of safety of 3 . Use the modified Goodman criterion. Problem 06.057.a - Determine the endurance limit Determine the endurance limit for this material as well as the value after correction for surface finish and sizing. Use Goodman failure criterion. The endurance limit for the material is kpsi. The endurance limit for the material after correction for surface finish and sizing is kpsi.