A 21-tooth pinion rotating at 1000 rpmrpm meshes with a 33-tooth gear in a spur-gear reducer. Both pinion and gear are manufactured to a quality level of 9. A reliability of 0.9 has been specified and the transmitted tangential load is 2500 lblb. Conditions are such that Cm= 1.7. It is proposed that standard 25∘∘, full-depth teeth be used, with both pinion and gear hobbed from an AISI 4140 nitrided steel. The diametral pitch is 6, and the face width 2.000 inin. Suppose that the life of the pinion will be less than that of the gear, the lubricant bulk temperature does not exceed 250∘F∘F, both driver and driven devices are smooth-running, the gearset is external, gears made by conventional methods. Use the average value for the uncorrected surface-fatigue strength when choosing it from the appropriate table. Assume that the reducer is used for critical service applications. a)What is the dynamic factor (Cv) for the pinion? b)What is the AGMA Surface-Geometry Factor(I) for the pinion/gear mesh? c)What is the AGMA Surface Stress for the pinion? d)What is the value for the reliability factor (CR) for this system?
A 21-tooth pinion rotating at 1000 rpmrpm meshes with a 33-tooth gear in a spur-gear reducer. Both pinion and gear are manufactured to a quality level of 9. A reliability of 0.9 has been specified and the transmitted tangential load is 2500 lblb. Conditions are such that Cm= 1.7. It is proposed that standard 25∘∘, full-depth teeth be used, with both pinion and gear hobbed from an AISI 4140 nitrided steel. The diametral pitch is 6, and the face width 2.000 inin. Suppose that the life of the pinion will be less than that of the gear, the lubricant bulk temperature does not exceed 250∘F∘F, both driver and driven devices are smooth-running, the gearset is external, gears made by conventional methods. Use the average value for the uncorrected surface-fatigue strength when choosing it from the appropriate table. Assume that the reducer is used for critical service applications.
a)What is the dynamic factor (Cv) for the pinion?
b)What is the AGMA Surface-Geometry Factor(I) for the pinion/gear mesh?
c)What is the AGMA Surface Stress for the pinion?
d)What is the value for the reliability factor (CR) for this system?
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