SHIGLEY'S MECHANICAL ENGR DESIGN (LL)
10th Edition
ISBN: 9781308945446
Author: BUDYNAS
Publisher: MCG/CREATE
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 13, Problem 46P
The gears shown in the figure have a normal diametral pitch of 5 teeth/in, a normal pressure angle of 20°, and a 30° helix angle. The transmitted load is 800 lbf. Gear 2 rotates clockwise about the y axis, as viewed from the positive y axis. Gear 3 is an idler. Find the forces exerted by gears 2 and 3 on their shafts.
Problem 13−46
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
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:
Problem 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 1
The 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 Output
Chapter 13 Solutions
SHIGLEY'S MECHANICAL ENGR DESIGN (LL)
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The 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_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_forwardQ1 Two spur gears in a simple train shown in Figure Q1 are having the same module, m = 2 and their respective number of teeth is NTm = 30 for the driver gear, and NTG = 45 for the driven gear. The inertia of the gear attached to the motor is Im = 0.1 kgm² and the inertia of the second gear is IG = 0.1 kgm?. The second gear is connected to a pulley with the radius of 30 mm. The pulley is hoisting up the 2kg load with acceleration of a = 2 ms-². Given the gear transmission efficiency is 90%. a) Based on the module and number of teeth given, examine the pitch diameter of eachgear. b) Considering acceleration of load at 2 ms-2, evaluate the torque of the motor toovercome gears inertia. c) Considering the 2 kg load, examine the torque required to accelerate the load throughgear system. d) Suggest the minimum torque of the motor accelerate the 2 kg load at 2 ms.arrow_forward
- The gears shown in the figure form an ideal transmission mechanism. Shaft a applies 8.7 Nm of torque to the pinion (gear 2), which rotates clockwise at 2,312 revolutions per minute. All of the gears have a 20 degree pressure angle. Gears 2 and 3 have a module of 2.5 mm, while gears 4 and 5 have a module of 4 mm. What is the speed of shaft c? Express your answer in units of revolutions per minute. McGraw-Hill Companies, Inc for y 12T NO # + C 3 36T- to 스 3/2 X 18T 30T 5arrow_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_forwardAn epicyclic gear train is shown in the figure below. The number of teeth on the gears A, B and D are 20, 30 and 20, respectively. Gear C has 80 teeth on the inner surface and 100 teeth on the outer surface. If the carrier arm AB is fixed and the sun gear A rotates at 300 rpm in the clockwise direction, then the rpm of D in the clockwise direction is B Darrow_forward
- 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 F3b that gear 3 exerts against shaft b. (b) Find the torque T4c that gear 4 exerts on shaftarrow_forwardThe 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.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
- 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_forward2 spur gears connected externally were produced having M-2.5. They were mounted on 2 different shafts with a center distance of 9cm. The speed ratio is 3:1. Using 14.5° determine the following: 1. Pitch Diameter (Driver Diameter) mm 2. Pitch Diameter (Driven Diameter) = mm 3. Number of Teeth (Driver) = teeth 4. Number of Teeth (Driven) = teeth 5. Circular Pitch = mm 6. Addendum = in 7. Clearance = in 8. Dedendum D in 9. Whole Depth in 10. Working Depth in %!arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Power Transmission; Author: Terry Brown Mechanical Engineering;https://www.youtube.com/watch?v=YVm4LNVp1vA;License: Standard Youtube License