SHIGLEY'S MECH.ENGINEERING DESIGN-EBK>I
10th Edition
ISBN: 9781259489563
Author: BUDYNAS
Publisher: INTER MCG
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Chapter 14, Problem 16P
A milled-teeth steel pinion and gear pair have Sut = 113 kpsi, Sy = 86 kpsi and a hardness at the involute surface of 262 Brinell. The diametral pitch is 3 teeth/in, the face width is 2.5 in, and the pinion speed is 870 rev/min. The tooth counts are 20 and 100. Use the Gerber criteria to compensate for one-way bending. For a design factor of 1.5, rate the gearset for power considering both bending and wear.
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A 17-tooth 20° pressure angle spur pinion rotates at 1800 rev/min and transmits 4 hp to a 52-tooth disk gear. The diametral pitch is 10 teeth/in, the face width 1.5 in, and the quality standard is No. 6. The gears are straddle-mounted with bearings immediately adjacent. The pinion is a grade 1 steel with a hardness of 240 Brinell tooth surface and through-hardened core. The gear is steel, through-hardened also, grade 1 material, with a Brinell hardness of 200, tooth surface and core. Poisson's ratio is 0.30, Jp = 0.30, JG = 0.40, and Young's modulus is 30(10°) psi. The loading is smooth because of motor and load. Assume a pinion life of 108 cycles and a reliability of 0.90, and use YN = 1.3558N-0.0178, ZN = 1.4488N-0.023. The tooth profile is uncrowned. This is a commercial enclosed gear unit. (a) Find the factor of safety of the gears in bending. (b) Find the factor of safety of the gears in wear. (c) By examining the factors of safety, identify the threat to each gear and to the…
A 57-tooth spur gear is in mesh with a 23-tooth pinion. The gearset transmits 125 hp at 1000 pinion rpm. Size the spur gears for a bending failure safety factor of at least 2 assuming a steady torque, 25∘ pressure angle, full-depth teeth, Qν = 9, an AISI 4140 steel pinion, and a class 40 cast iron gear.
Part A
Find the appropriate standard diametral pitch for the gearset.
Part B
Find the minimum required face width of the gears needed to satisfy the safety requirements
Q/A steel spur pinion and gear of grade 1 have a diametral pitch of 11 teeth/in , shaped profile teeth, 16 and 32 teeth, respectively, a 20. pressure angle, the pinion speed is 585 rev/min.
The tooth properties are Sactual bending =20230 psi and the Brinell hardness is 210. For a design factor of 3, a face width of 0.85 in, what is the power due to bending and wear for pinion?
Hint: - use "Shigleys Mechanical Engineering Design 8th Edition"
Chapter 14 Solutions
SHIGLEY'S MECH.ENGINEERING DESIGN-EBK>I
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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