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
Question
Chapter 13, Problem 11P
(a)
To determine
The smallest pinion tooth count that will run with itself.
(b)
To determine
The smallest pinion tooth count.
The largest gear tooth count with this pinion.
(c)
To determine
The smallest pinion that will run with the rack.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The following data is for two
meshing gears
Velocity ratio=0.5
Module =5 mm,
Pressure angle =20°
Centre distance = 250 mm
Determine the number of teeth and the base circle radius of the gear wheel.
The 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
R
2- Figure (2) shows an epicyclic gear train suitable for lifting machine with the
following particular: Gear A is the mounted on the motor shaft and the load
spindle is attached to the arm 7. planet wheels C and Ci are compound. The
number of teeth on wheels A and Ci are 20 The internal wheel B is fixed. A
speed reduction of about 12 is required. Find the suitable number of teeth ror
C and B and the exact value of speed ratio which these give.
Z as
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
- Find the diameter of each gear using one simple gear train with 4 gears that work as a speed reducer with a ratio of 5:1 Input of 100 rpm, Output of 20 rpm. Consider number of teeth as: N1=20 N2=40 N3=80 N4=100 Use module of 2arrow_forward/ Apinion with 24 involute teeth of 15omm sf pitch circle diameter drives arack Theadden dum ot pinion and rackis 6mm. Find the Least pressuve ungle it interference avoid and find the length of avc o f Contact and the minimum number of teeth in coutact at ovne tim LANS. (6.8', yomm, 2 puirs of teath]arrow_forwardFor the gear train in a watch shown in the following figure. The teeth number are Z1=24, z2=48, Z3=20, Z4=25, z5=1, Z6=40. Please calculate speed ratio i16 4 2 亚 3,arrow_forward
- The figure below shows a two-stage helical gear set. Pinion 2, which is in the converter position, transfers a certain rotation moment from the shaft to gear 3 in the first stage by rotating in the direction of the clock in the front view (or in the Z direction) shown in the figure. on shaft B, the pinion gear No. 4 is positioned with gear No. 3, which receives and/or transmits the drive from different gears. The number 4 Pinion in the second stage drives the number 5 gear, converting the input moment in the system to the output moment and providing movement transfer. Answer the figure in the table as follows by determining the direction of rotation of Gears 3, 4 and 5 and the Helix direction of each gear when looking at the left side view of the figure from the left (i.e. from the-z direction).Also, briefly explain how the concept of a module in Gears is determined by showing the basic dimensions on a tooth form and what the main law of gears refers to by drawing a figure.arrow_forwardThe figure below shows a two-stage helical gear set. Pinion 2, which is in the converter position, transfers a certain rotation moment from the shaft to gear 3 in the first stage by rotating in the direction of the clock in the front view (or in the Z direction) shown in the figure. on shaft B, the pinion gear No. 4 is positioned with gear No. 3, which receives and/or transmits the drive from different gears. The number 4 Pinion in the second stage drives the number 5 gear, converting the input moment in the system to the output moment and providing movement transfer. Answer the figure in the table as follows by determining the direction of rotation of Gears 3, 4 and 5 and the Helix direction of each gear when looking at the left side view of the figure from the left (i.e. from the-z direction).arrow_forwardFigure Q2 shows the top half of a compound Epicyclic gearset with input shaft I rotating at a constant speed of 700 rpm in clockwise direction and providing 12 kW input power. The Annulus wheel A2 is form a compound wheel with gear O and connected to an auxiliary gear N on shaft X. The Annulus A1 is rotating at a speed of 5,300 rpm in counter-clock clockwise direction. With this condition calculate the following:- (i) The speed and direction of output shaft O (No), shaft X (Nx) and gear ratio (n). (ii) If Annulus wheel A1 is locked calculate the speed and direction of output shaft O (No), shaft X (Nx) and gear ratio (n). (iii) The braking torque (Tb) (magnitude and direction) that must be applied to Annulus wheel A1 to hold it stationary, assuming gear transmission efficiency is 90%.arrow_forward
- Repeat Problem 13-12 with = 45°. By employing a pressure angle larger than standard, it is possible to use fewer pinion teeth, and hence obtain smaller gears without undercutting during machining. If the gears are full-depth spur gears, what is the smallest possible pressure angle o that can be obtained without under- cutting for a 9-tooth pinion to mesh with a rack?arrow_forwardFor the gear train illustrated in Figure, determine the output speed and direction of rotation if the input shaft rotates at 1490 rpm clockwise. Gears A to D have a module of 1.5 and gears E to H a module of 2. TA=20 teeth, TD=38 teeth, TE=18 teeth, TG=18 teeth, TH=30 teeth, dB=67.5mm, dC=27 mm and dF =56 mm.arrow_forwardA pinion having 40 teeth is meshing with a spur gear having 80 teeth. The profile of the gear is involute. The module of the gears is 12 mm and pressure angle is 20 degree. The addendum of the gears is 10 mm. Find the length of path of contact, arc of contact and the contact ratio.arrow_forward
- Straight bevel gears are mainly used to change the change the rotation axis of intersecting shafts. You work as a maintenance engineer for a food packaging company and your supervisor asked you to accurately calculate the dimensions for a set of straight bevel gears used in one of the differential gearboxes at the facility. The gear type is an uncrowned straight-bevel pinion has 22 teeth, a module of 4.5 mm, and a transmission accuracy number of 5. The pinion and the gear are made of through-hardened steel, both having core and case hardnesses of 210 Brinell. The pinion drives the 24-tooth bevel gear. The shaft angle is 90°, the pinion speed is 1600 rev/min, the face width is 23 mm, and the normal pressure angle is 20°. Both gears have an outboard mounting. Find: a) The power rating based on AGMA pitting resistance if the life goal is 10° revolutions of the pinion at 0.98 reliability.arrow_forwardOL Two involute gears of 20° pressure angle are in mesh The number of teeth on pinion is 20 and the gear ratio is 2. If the pitch expressed in module is 5 mm and the pitch line speed is 1.2 m/s, assuming addendum as standard and equal to one module, find: 1 The angle turned through by pinion when one pair of teeth is in mesh; and 2 The maximum velocity of sliding.arrow_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_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