Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780077591670
Author: BUDYNAS
Publisher: MCG
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Textbook Question
Chapter 13, Problem 3P
A spur gearset has a module of 6 mm and a velocity ratio of 4. The pinion has 16 teeth. Find the number of teeth on the driven gear, the pitch diameters, and the theoretical center-to-center distance.
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The teeth of the gear arrangement have Gear A=40teeth, Gear B=70 teeth and Gear C= 50teeth, a pinion (driver Gear) that rotates at 625 rpm, and idler Gear B and a driven gear (Gear C). The gears have a module of 5mm and a pressure angle of 200. Find the pitch diameter of gear C in mm.
Two parallel shafts have an angular velocity ratio of 4 to 1 are connected by gears, the largest of which has 40 teeth. Find the number of teeth of smaller gear.
A pair of meshing gears has a diametral pitch of 10.7140, a center distance of 2.8-in, and a velocity ratio of 2. Find the number of teeth of the smaller gear.
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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- Two spur gears are to have a ratio of 9:3 and a 7mm module. If the center distance is to be approximatively 200mm, calculate the following:o Circular pitch value;o Number of teeth on the wheel (gear);o Number of teeth of the pinion;arrow_forwardTwo spur gears are to have a ratio of 9:3 and a 7mm module. If the center distance is to be approximatively 200mm, calculate the following:o Pitch circle diameter of the gear;o Pitch circle diameter of the pinion;arrow_forwardlb pair of bevel gears having 20 and 75 teeth are used on axes that intersect at a 90" angle. Determine the velocity ratio and the pitch angles. of both gears.arrow_forward
- A 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_forwardCompute the circular pitch of a pair of gears having a ratio of 4 and a center distance of 10.23in. The gear and pinion have 72 and 18 teeth respectively.arrow_forwardFind 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
- A pinion having 40 teeth drives a gear having 80 teeth. the profile of the gear is involute with pressure angle ( 22), 12 mm module and (14) mm addendum. Find 1-the length of contact2-Arc of contact 3-Contact ratioarrow_forwardA 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_forward1. A pair of 20 degree full depth spur gears have module of 2.5 and to be mounted on shafts with center distance of 90mm and gear ratio of 3. Determine: a. If there is interference b. If the center distance was increased by 3mm, find the backlash produced c. length of action and contact ratioarrow_forward
- Two spur gears are to have a ratio of 9:3 and a 7mm module. If the center distance is to be approximatively 200mm, calculate the following:o Circular pitch value;o Number of teeth on the wheel (gear);o Number of teeth of the pinion;o Pitch circle diameter of the gear;o Pitch circle diameter of the pinion;arrow_forwardTwo 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 reverted gear train with a speed ratio of 12 consists of four gear wheels. Gear A has a module pitch of 3mm and is meshed with gear B. Whereas gear C that is meshed with gear D has a module pitch of 2.5mm. Gear B and C form a compound gear system. The distance between axis of rotation of driving gear A and driven gear B is equal to 200mm. If gear A has 24 teeth, determine the suitable number of teeth for all gears.arrow_forward
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