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
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 13, Problem 4P
A 21-tooth spur pinion mates with a 28-tooth gear. The diametral pitch is 3 teeth/in and the pressure angle is 20°. Make a drawing of the gears showing one tooth on each gear. Find and tabulate the following results: the addendum, dedendum, clearance, circular pitch, tooth thickness, and base-circle diameters; the lengths of the arc of approach, recess, and action; and the base pitch and contact ratio.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Solve this problem in spur gearsA 17-tooth pinion meshes with an 84-tooth gear. The full-depth involute gear teeth have 20° pressureangle and a diametral pitch of 32. Determine the base pitch and the contact ratio. Also,calculate theaddendum, dedendum, circular pitch, tooth thickness, and the base diameter for the pinion and gear. Ifthe center distance isincreased by 0.125 in., what are the new valuesfor thecontact ratio and thepressureangle
with complete solution and write in hand writing thank you
A parallel helical gearset uses a 20-tooth pinion driving a 46-tooth gear. The pinion has a righthand helix angle of 30◦, a normal pressure angle of 20◦, and a normal diametral pitch of 6 teeth/in. Find:
(a) The normal, transverse, and axial circular pitches
(b) The normal base circular pitch
(c) The transverse diametral pitch and the transverse pressure angle
(d) The addendum, dedendum, and pitch diameter of each gear
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.
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...
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
- A 20° full-depth, involute spur gear with 18 teeth has a diametral pitch of 12. Determine the following: (a) the pitch circle diameter, (b) the diamter of the base circle, (c) the diameter of the addendum circle, (d) the diameter of the dedendum circle and (e) the circular pitch.arrow_forward7. The following data relate to a pair of 20° involute gears in mesh : Module = 6 mm, Number of teeth on pinion = 17, Number of teeth on gear = 49; Addenda on pinion and gear wheel = 1 module. Find : (a) The number of pairs of teeth in contact (b) The angle turned through by the pinion and the gear wheel when one pair of teeth is in contact (c) The ratio of sliding to rolling motion when the tip of a tooth on the larger wheel (i) is just making contact (ii) is just leaving contact with its mating tooth (iii) is at the pitch point.arrow_forwardFor the gear train below, th numbers of teeth for individual gears are 12 9gear #1), Gear 18 (gear #2), 14 (gear #3), and 18(gear #4), To obtain a counter-clockwise rotation of 1500 rpm for the output gear(#4). What should be the rotation speed of the input gear (#1) and in which directions should the input gear rotatearrow_forward
- Figure shown below illustrates the gears in a speed-change gearbox used in machine tool applications. By sliding the cluster gears on shafts Band C, nine speed changes can be obtained as shown in Table given below. The problem of the machine tool designer is to select tooth numbers for the various gears (2 to 10) so as to produce a reasonable distribution of speeds for the output shaft. The gears 2, 6 and 9 are having 20, 25 and 50 teeth respectively. The input shaft speed is 450 rpm and the output speed can vary from 137 rpm to 580 rpm depending on the sequence of the gears. If the output speed obtained through the gear sequence 2-5-5-8 is 257 rpm and if the minimum and maximum number of teeth in the gear system are 20 and 50 respectively, (i) Suitable tooth numbers for the remaining gears (3,4,5,7,8 & 10)arrow_forwardA pair of straight-tooth bevel gears (as shown in the figure above) are in mesh transmitting 35 hp at 1000 rpm (pinion speed). The gear rotates at 400 rpm. The gear system has a pitch of 6 and a 20-degree pressure angle. The face width is 2 inches and the pinion has 36 teeth. Determine the tangential, radial, and axial forces acting on the pinionarrow_forwardA 17-tooth pinion meshes with an 84-tooth gear. The full-depth involute gear teeth have 20° pressure angle and a diametral pitch of 32. Determine the base pitch and the contact ratio. Also,calculate the addendum, dedendum, circular pitch, tooth thickness, and the base diameter for the pinion and gear. If the center distance is increased by 0.125 in., what are the new values for the contact ratio and the pressure angle?arrow_forward
- Two meshing spur gears with 20° pressure angle have a module of 4 mm. The centre distance is 220 mm andthe number ofteethonthe pinionis 40. What shouldbethe new centre distance so that pressure angle is increased to 22°?arrow_forwardA pinion with known module and number of teeth rotates at 2400 rpm and drives a gear at 800 rpm.Assume the spur gears mesh along their pitch circles.Determine the number of teeth on the gear, circular pitch,and theoretical center distance.arrow_forwardA 17-tooth pinion meshes with an 84-tooth gear. The full-depth involute gear teeth have 20°pressure angle and a diametral pitch of 32. Determine the base pitch and the contact ratio.Also,calculate the addendum, dedendum, circular pitch, tooth thickness, and the base diameterfor the pinion and gear. If the center distance is increased by 0.125 in., what are the newvaluesfor the contact ratio and the pressure angle.arrow_forward
- Figure shows an alicyclic gear train with the following details:A has 40 teeth external (fixed gear) ; B has 80 teeth internal ; C - D is a compound wheel having 20 and 50 teeth (external) respectively, E-F is a compound wheel having 20 and 40 teeth (external) respectively, and G has 90 teeth (external). The arm runs at 100 r.p.m. in clockwise direction. Determine the speeds for gears C, E, and B.arrow_forwardA set of gears is used to reduce the speed from an electric motor to a shaft driving a grocery checkout conveyor, depicted below. The gear on the motor shaft is a 10-pitch pinion, has 18 teeth, and drives at 1200 rpm clockwise. The driven gear has 72 teeth. The motor has failed and is to be replaced with the only motor available, a 600 rpm motor with an 8-pitch pinion. Specify the set of commercially available 20⁰ spur gears, by number of teeth (N3and N4), that would result in the same conveyor speed and can be used without modification to the mounting (the center distance must not change). Find the number of teeth N3 on the pinion (drive) gear (teeth): Find the number of teeth N4 on the driven gear (teeth):arrow_forwardFor a pair of spur gears, one design decision is to specify the pressure angles. Please select the common values of pressure angle per textbook. 300 200 250arrow_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 Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering 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