Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780077591670
Author: BUDYNAS
Publisher: MCG
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Chapter 14, Problem 30P
AGMA procedures with cast-iron gear pairs differ from those with steels because life pre dictions are difficult; consequently (YN)P, (YN)G, (ZN)P, and (ZN)G are set to unity. The consequence of this is that the fatigue strengths of the pinion and gear materials are the same. The reliability is 0.99 and the life is 107 revolution of the pinion (KR = 1). For longer lives the reducer is derated in power. For the pinion and gear set of Prob. 14-24, use grade 40 cast iron for both gears (HB = 201 Brinell). Rate the reducer for power with SF and SH equal to unity.
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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…
According to AGMA standards, contact stress numbers of pitting resistance for different types of gear teeth are calculated differently. Please select the right formula for each type of gear teeth.
Equation a:
Equation b:
For helical gears, equation a should be used.
For spur gears, equation b should be used.
For spur gears, equation a should be used.
For helical gears, equation b should be used.
For bevel gears, equation a should be used.
For bevel gears, equation b should be used.
DESIGN A WORM GEAR THAT CAN LIFT A VERTICAL LOAD OF 5000 LBS IN A DISTANCE OF 30 FT IN 1 MINUTE. Use the pitch of the worm as 0.75 inches and pitch diameter of 3 inches. Assume the pressure angle is 14 ½ 0 and the coefficient of friction is 0.12 and the wheel has 40 teeth and a pitch diameter of 10 inches. (Note: The diameter of the drum that lift the load has the same diameter of the worm wheel).
Chapter 14 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 14 - A steel spur pinion has a pitch of 6 teeth/in, 22...Ch. 14 - A steel spur pinion has a diametral pitch of 10...Ch. 14 - Prob. 3PCh. 14 - A steel spur pinion has 16 teeth cut on the 20...Ch. 14 - Prob. 5PCh. 14 - A 20 full-depth steel spur pinion has 20 teeth and...Ch. 14 - A 20 full-depth steel spur pinion has a diametral...Ch. 14 - A steel spur pinion is to transmit 20 hp at a...Ch. 14 - A 20 full-depth steel spur pinion with 18 teeth is...Ch. 14 - Prob. 10P
Ch. 14 - A speed reducer has 20 full-depth teeth and...Ch. 14 - Prob. 12PCh. 14 - Prob. 13PCh. 14 - A 20 20-tooth cast-iron spur pinion having a...Ch. 14 - A steel spur pinion and gear have a diametral...Ch. 14 - A milled-teeth steel pinion and gear pair have Sut...Ch. 14 - A 20 full-depth steel spur pinion rotates at 1145...Ch. 14 - A steel spur pinion has a pitch of 6 teeth/in, 17...Ch. 14 - A commercial enclosed gear drive consists of a 20...Ch. 14 - A 20 spur pinion with 20 teeth and a module of 2.5...Ch. 14 - Repeat Prob. 14-19 using helical gears each with a...Ch. 14 - A spur gearset has 17 teeth on the pinion and 51...Ch. 14 - Prob. 23PCh. 14 - Prob. 24PCh. 14 - The speed reducer of Prob. 14-24 is to be used for...Ch. 14 - Prob. 26PCh. 14 - Prob. 27PCh. 14 - The gearset of Prob. 14-27 is going to be upgraded...Ch. 14 - Prob. 29PCh. 14 - AGMA procedures with cast-iron gear pairs differ...Ch. 14 - Spur-gear teeth have rolling and slipping contact...Ch. 14 - In Ex. 14-5 use nitrided grade 1 steel (4140)...Ch. 14 - In Ex. 14-5 use carburized and case-hardened gears...Ch. 14 - Prob. 35PCh. 14 - Prob. 36PCh. 14 - The countershaft in Prob. 373, p. 152, is part of...Ch. 14 - Build on the results of Prob. 1340, p. 720, to...Ch. 14 - Build on the results of Prob. 1341, p. 721, to...
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