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 13, Problem 33P
The gears shown in the figure have a module of 12 mm and a 20° pressure angle. The pinion rotates at 1800 rev/min clockwise and transmits 150 kW through the idler pair to gear 5 on shaft c. What forces do gears 3 and 4 transmit to the idler shaft?
Problem 13-33
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Problem 13-40
The figure shows a double-reduction helical gearset. Pinion 2 is the driver, and it receives a torque of 1200 Ibf • in from its shaft in the direction shown. Pinion 2 has a normal diametral pitch of 8 teeth/in, 14 teeth, and a normal pressure angle of 20° and is cut right-handed with a helix angle of 30°. The mating gear 3 on shaft b has 36 teeth. Gear 4, which is the driver for the second pair of gears in the train, has a normal diametral pitch of 3 teeth/in, 15 teeth, and a normal pressure angle of 20° and is cut left-handed with a helix angle of 15°. Mating gear S has 45 teeth. Find the magnitude and direction of the force exerted by the bearings C and D on shaft b if bearing C can take only a radial load while bearing D is mounted to take both radial and thrust loads.
13-31
Shaft a in the figure has a power input of 75 kW at a speed of 1000 rev/min in the counterclock-
wise direction. The gears have a module of 5 mm and a 20° pressure angle. Gear 3 is an idler.
(a) Find the force F3, that gear 3 exerts against shaft b.
(b) Find the torque T4, that gear 4 exerts on shaft c.
517
34T
Problem 13-31
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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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- 13-39 The gears shown in the figure have a module of 12 mm and a 20° pressure angle. The pinion rotates at 1800 rev/min clockwise and transmits 150 kW through the idler pair to gear 5 on shaft c. What forces do gears 3 and 4 transmit to the idler shaft? w487 187 Problem 13-39 16 327 187arrow_forwardProblem 1. The spur gears shown in Figure 1 have a diametral pitch of 2 teeth per inch and a 20° - pressure angle. Gear 2 rotates at 1800 rev/min clockwise and transmits 200 hp through the idler pair in Gear 5 on shaft c. (a) Show fully labeled free-body diagrams of gear 2, and Gears 3 and 4; (b) What forces do gear 3 and 4 transmit to the idler shaft? (c) What is the train value? (d) What is the output speed? Gear 5 Gear 4 48Teeth 18Teeth Gear 3 32Teeth Gear 2 18Teeth Figure 1arrow_forwarda in the figure has a power input of 75 kW at a speed of 1000 rev/min in the counterclock- wise direction. The gears have a module of 5 mm and a 20° pressure angle. Gear 3 is an idler. (a) Find the force F3b that gear 3 exerts against shaft b. (b) Find the torque T4c that gear 4 exerts on shaftarrow_forward
- Problem 1. The spur gears shown in the figure have a diametral pitch of 2 teeth per inch and a 20 pressure angle. The pinion rotates clockwise at 1200 rev/min and transmits 150 hp through the idler pair to gear 5 on shaft e. What forces do gears 3 and 4 transmit to idler shaft? 327 187arrow_forwardTwo mating spur gears have 40 and 120 teeth respectively. The pinion rotates at 1200 rpm and transmits a torque of 20 N-m. The torque transmitted by the gear isarrow_forward13-32 The 247 6-pitch 20° pinion 2 shown in the figure rotates clockwise at 1000 rev/min and is driven at a power of 25 hp. Gears 4, 5, and 6 have 24, 36, and 144 teeth, respectively. What torque can arm 3 deliver to its output shaft? Draw free-body diagrams of the arm and of each gear and show all forces that act upon them.arrow_forward
- The figure shows a pair of shaft-mounted spur gears having a module of 5 mm with an 18-tooth 20° pressure angle pinion driving a 45-tooth gear. The power input is 24 kW at 1800 rev/min counterclockwise into the pinion. Find the direction and magnitude of the forces acting on the shafts a and b. SOLUTION:arrow_forwardThe four helical gears shown in figure have a module in the normal plane of 4 mm and a pressure angle in the normal plane of 0.35 rad. The motor shaft rotates 550 rpm and transmits 20 kW. Other data are on the drawing. (a) What is the speed ratio between the motor (input) and output shafts? (b) Determine all force components that the 20-tooth pinion applies to the 50-tooth gear. Make a sketch showing these forces applied to the gear. (c) The same as part (b), except for the force components that the 50-tooth gear exerts on the 25- tooth pinion 100 50 teeth 200 125 25 teeth ψ = 0.35 rad right hand Motor 20 teeth ψ = 0.50 rad left hand 50 teeth Outputarrow_forwardThe figure shows a pair of shaft-mounted spur gears having a diametral pitch of 5 teeth/in with an 18-tooth 20° pinion driving a 45-tooth gear. The power input is 28-hp at 1700 rev/min. Find the magnitude of the force acting on bearing D. 3 2 3 in 3 in The magnitude of the force acting on bearing Dis lbf.arrow_forward
- A 20 straight-tooth bevel pinion having 14 teeth and a diametral pitch of 4 teeth/in drives a 30-tooth gear. The two shafts are at right angles and in the same plane. The illustration below shows a typical right-angle bevel gear set. Bevel gear pitch diameters are measured on the outside face along the back-cone, as shown in the figure. As shown in figure 13-35, the resultant force acts at the average radius of the gear/pinion. If the power transmitted by the pinion is 10 at 1,453 rpm, calculate the pinion tangent force in lbf. Cone distance A Face Pitch angle Pitch angle Back cone Uniform clearance Pitch diameter Da Back-cone radius, harrow_forwardThree 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?arrow_forwardThree 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)arrow_forward
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