Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
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Chapter 14, Problem 36P
To determine
The factor of safety for bending.
The factor of safety for wear.
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Three 14.5° pressure angle spur gears with a diametral pitch of 8 are meshed. The input pinion on the left is running clockwise at 3101 rpm and transmits 3.2 Hp.
Gear 1 (Pinion)
Input
N1 = 20 teeth
Gear 2
Idler
N2 = 75 teeth
Gear 3
Output
N3 = 25 teeth
Answer the following:
1. Pinion (Gear 1) pitch diameter
2. Gear 2 pitch diameter
3. Gear 3 pitch diameter
4. Circular pitch
5. Addenda
6. Center distance from gear 1 to gear 3
7. Line of action
8. Contact ratio of gear 1 and 2
9. Gear ratio from gear 1 to gear 3(
for gear 1 contacting gear 2,
10. Draw a free-body diagram of Gear 2, showing the radial and tangential forces. Calculate these forces. What is the reaction force in the bearing?
Three 14.5° pressure angle spur gears with a diametral pitch of 8 are meshed. The input pinion on the left is running clockwise at 3101 rpm and transmits 3.2 Hp.
Gear 1 (Pinion)
Input
N1 = 20 teeth
Gear 2
Idler
Gear 3
Output
N3 = 25 teeth
N2 = 75 teeth
Answer the following:
1. Pinion (Gear 1) pitch diameter (1 mark)
2. Gear 2 pitch diameter (1 mark)
3. Gear 3 pitch diameter (1 mark)
4. Circular pitch (1 mark)
5. Addenda (1 mark)
6. Center distance from gear 1 to gear 3 (2 marks)
7. Line of action length for gear 1 contacting gear 2 (2 marks)
8. Contact ratio of gear 1 and 2 (2 marks)
9. Gear ratio from gear 1 to gear 3 (1 mark)
10. Draw a free-body diagram of Gear 2, showing the radial and tangential forces. Calculate these forces. What is the reaction force in the bearing? (3 marks)
A gear train is composed of four helical gears with the three shaft axes in a single plane, as shown in the figure. The gears have a normal pressure angle of 20 and a 30 helix angle. Gear
is the driver, and is rotating counterclockwise as viewed from the top. Shaft b is an idler and the transmitted load from gear 2 to gear 3 is 500 Ibf. The gears on shaft b both have a normal diametral pitch of 7 teeth/in and have 54 and 14 teeth, respectively. Find the forces exerted by
gears 3 and 4 on shaft b
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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- Gear 1 has a module of 4 mm/tooth and 25 teeth. This gear drives Gear 2 whose speed is 410 rpm.The shaft centre distance is 167 mm. What is the diameter (mm) of Gear 2? Supplementary Information Gears Formulae Diametral Pitch P = N/d module m = d /N p = a d/N = 1 m WL- WArm Product of the driving tooth numbers %3D WF WArm Product of the driven tooth numbers N. +1 Ns Wsun Warm Standard Tooth Sizes and Systems for gears Diametral Pitch Coarse Fine Modules Preferred Next Choice 2, 21/2, 21/2, 3, 4, 6, 8, 10, 12, 16 20, 24, 32, 40, 48, 64, 80, 96, 120, 150, 200 1, 1.25, 1.5, 2, 2.5, 3, 4. 5, 6, 8, 10, 12, 16, 20, 25, 32. 40. 50 1.125, 1.375, 1.75, 2.25, 2.75, 3.5, 4.5, 5.5, 7.9, 11. 14. 18. 22. 28, 36, 45 Dedendum b 1.25/Pa or 1.25m Tooth System Full depth Pressure Angle Ø deg. 20 Addendum a I/Pa or m 1/Pa or m 1.25/Pa or 1.25m 22v2 1/Pa or m 1.25/Pa or 1.25m 25 0.8/P or 0.8m 1/Pa or m Stub Answer: 20arrow_forward1. The figure shows a pair of shaft-mounted spur gears having a diametrical pitch of 6 teeth/in with a 14 tooth pinion (gear 2) driving a 49 tooth gear at a pressure angle of 20°. The power input is 3/4 hp at 2400 rpm cw. A, B, C, and D are bearings. 3. 3 in 3 in Determine the following: a. The Free Body Diagram for both gears. b. The pitch diameters of gears 2 and 3. c. The transmitted load. d. The torque Tin on the pinion shaft. e. The radial and tangential forces on gear 3 f. The output torque of gear 3 shaft.arrow_forwardThe figure shows a schematic representation of a gear system. The gears are meshed with one another and can therefore not slip. The ring gear R is fixed, i.e. wR = 0. Gear A has an inner hub with radius rA(inner) = 0.3 m which is fixed to the rest of the gear, having a radius of FAlouter) = 0.8 m, and moves together as a unit. Gear A is in mesh with gear B which has a diameter of de = 1.5 m. Gear B has a clockwise angular velocity of wg = 2.1 rad/s. Determine the angular speed of gear A. B TA(outer Rarrow_forward
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