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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Textbook Question
Chapter 13, Problem 37P
A speed-reducer gearbox containing a compound reverted gear train transmits 35 horsepower with an input speed of 1200 rev/min. Spur gears with 20° pressure angle are used, with 16 teeth on each of the small gears and 48 teeth on each of the larger gears. A diametral pitch of 10 teeth/in is proposed.
- (a) Determine the speeds of the intermediate and output shafts.
- (b) Determine the pitch line velocities (in ft/min) for each set of gears.
- (c) Determine the magnitudes of the tangential, radial, and total forces transmitted between each set of gears.
- (d) Determine the input torque.
- (e) Determine the output torque, neglecting frictional losses.
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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
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)
Problem 2
A speed-reducer gearbox containing a compound reverted gear train transmits 35
horsepower with an input speed of 1200 rev/min. Spur gears with 20• pressure angle
are used, with 16 teeth on each of the small gears and 48 teeth on each of the larger
gears. A diametral pitch of 10 teeth/in is proposed.
(d) Determine the input torque.
(e) Determine the output torque, neglecting frictional losses.
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?
Chapter 13 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 13 - A 17-tooth spur pinion has a diametral pitch of 8...Ch. 13 - A 15-tooth spur pinion has a module of 3 mm and...Ch. 13 - A spur gearset has a module of 6 mm and a velocity...Ch. 13 - A 21-tooth spur pinion mates with a 28-tooth gear....Ch. 13 - A 20 straight-tooth bevel pinion having 14 teeth...Ch. 13 - A parallel helical gearset uses a 20-tooth pinion...Ch. 13 - A parallel helical gearset consists of a 19-tooth...Ch. 13 - To avoid the problem of interference in a pair of...Ch. 13 - Prob. 9PCh. 13 - Prob. 10P
Ch. 13 - Prob. 11PCh. 13 - Prob. 12PCh. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - A parallel-shaft gearset consists of an 18-tooth...Ch. 13 - The double-reduction helical gearset shown in the...Ch. 13 - Shaft a in the figure rotates at 600 rev/min in...Ch. 13 - The mechanism train shown consists of an...Ch. 13 - The figure shows a gear train consisting of a pair...Ch. 13 - A compound reverted gear trains are to be designed...Ch. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - A gearbox is to be designed with a compound...Ch. 13 - The tooth numbers for the automotive differential...Ch. 13 - Prob. 26PCh. 13 - In the reverted planetary train illustrated, find...Ch. 13 - Prob. 28PCh. 13 - Tooth numbers for the gear train shown in the...Ch. 13 - The tooth numbers for the gear train illustrated...Ch. 13 - Shaft a in the figure has a power input of 75 kW...Ch. 13 - The 24T 6-pitch 20 pinion 2 shown in the figure...Ch. 13 - The gears shown in the figure have a module of 12...Ch. 13 - The figure shows a pair of shaft-mounted spur...Ch. 13 - Prob. 35PCh. 13 - Prob. 36PCh. 13 - A speed-reducer gearbox containing a compound...Ch. 13 - For the countershaft in Prob. 3-72, p. 152, assume...Ch. 13 - Prob. 39PCh. 13 - Prob. 40PCh. 13 - Prob. 41PCh. 13 - Prob. 42PCh. 13 - The figure shows a 16T 20 straight bevel pinion...Ch. 13 - The figure shows a 10 diametral pitch 18-tooth 20...Ch. 13 - Prob. 45PCh. 13 - The gears shown in the figure have a normal...Ch. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - The figure shows a double-reduction helical...Ch. 13 - A right-hand single-tooth hardened-steel (hardness...Ch. 13 - The hub diameter and projection for the gear of...Ch. 13 - A 2-tooth left-hand worm transmits 34 hp at 600...
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