Solved: Spur-gear teeth have rolling and slipping contact
Chapter 14, Problem 14-31(choose chapter or problem)
Spur-gear teeth have rolling and slipping contact (often about 8 percent slip). Spur gears tested to wear failure are reported at \(10^8\) cycles as Buckingham's surface fatigue load-stress factor K. This factor is related to Hertzian contact strength \(S_C\) by
\(S_C=\sqrt{\frac{1.4 K}{\left(1 / E_1+1 / E_2\right) \sin \phi}}\)
where \(\phi\) is the normal pressure angle. Cast iron grade 20 gears with \(\phi=14 \frac{1}{2}\) and \(20^{\circ}\) pressure angle exhibit a minimum K of 81 and 112 psi, respectively. How does this compare with \(S_C=0.32 H_B\) kpsi?
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