Solved: A 20 spur pinion with 20 teeth and a module of 2.5

Chapter 14, Problem 14-20

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A \(20^{\circ}\) spur pinion with 20 teeth and a module of 2.5 mm transmits 120 W to a 36-tooth gear. The pinion speed is 100 rev/min, and the gears are grade 1, 18-mm face width, through hardened steel at 200 Brinell, uncrowned, manufactured to a No. 6 quality standard, and considered to be of open gearing quality installation. Find the AGMA bending and contact stresses and the corresponding factors of safety for a pinion life of \(10^8\) cycles and a reliability of 0.95.

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