Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780077591670
Author: BUDYNAS
Publisher: MCG
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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.
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For a pair of standard gears, the module is m=2.5mm，pressure angle is α=20 0. ha*=1. c*=0.25. The teeth number on gear 1 is z1=22. The standard center distance is a=68.75mm.
Calculate the contact ratio ε with the standard center distance a, 68.75mm.
ε=( )
Provide very clear and complete solution and diagam.
SITUATIONAL PROBLEM:
Two shafts are connected by spur gears. The pitch radii of the gears A and B are 200 mm and 860 mm respectively. If shaft A makes 350rpm and is subjected to twisting moment of 250 N-m. Pressure angle is 14.5 degree. What is:
a.) Rpm of gear B
b.) Torque in shaft B (in Newton meter).
c.) Separation load of two gears (in newtons).
d.) Total load on gears (in newtons).
A 4 module, 20◦ pinion of 36 teeth drives a gear of 72 teeth. a. Calculate the length of action and contact ratio if the gears in mesh with zero backlash.b. If the center distance is increased 0.8mm,calculate the radii of the operating circles, operating pressure angles and backlash produced.c. Check if interference occurs
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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- For 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_forwardDesign a two-stage compound spur gear train for an overall ratio of approximately 17+ID:1. Specify tooth numbers for each gear in the train. ID=007arrow_forwardWhat will be the centre distance of two meshing gears il module is 4 and no ofteeths are 25 and 75?arrow_forward
- A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speed reduction of 5:1 calculate the number of teeth on pinion.arrow_forwardExample:Design a compound gear train for an exact reduction ratio of 180:1 given: ϕ =20o Module: 4mmarrow_forwardDesign a reverted compound gear train with an exact train ratio of 75:1 and a diametral pitch of 12. Specify pitch diameters and number of teeth.arrow_forward
- A pinion and gear with module 5 mm has a speed reduction ratio of 6 : 1. If centre distance is 420 mm, number of teeth on the pinion is _________ .arrow_forwardQ) Two mating gears have 20 and 40 involute teeth of module 10 mm and 20° pressure angle. If the addendum on each wheel is such that the path of contact is maximum and interference are just avoided, find the addendum of the wheel?arrow_forwardA similar pair of helical gears , also on parallel axes, are to have involute teeth, of 20o normal pressure angle, and 3 mm normal module. The wheels are to have 26 and 34 teeth, and to work with a centre distance of 146 mm. Calculate the transverse pressure angle in degrees.arrow_forward
- A pair of spur gear fitted on a motor shaft of lathe machine transmits the power of 7 kW at 600 rpm which is input at pinion gear and its shaft rotates in the counter-clockwise direction. The number of teeth on the pinion and the gear are 22 and 72 respectively, while the module is 8 mm. Assume a pressure angle of 200. Calculate: i) Torque on the shaft of the pinion in Nm. ii) Torque on the shaft of the gear in Nm. iii) Gear ratio iv) Center distance between shafts in mmarrow_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_forward4. A 6 pitch bevel gear has diameter of 8” while its pinion diameter is 4” with tangential force of 200lb . If pitchlinevelocity is 600ft/min. Determine length of cone, face width, working depth, total depth,and dynamic load.arrow_forward
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