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
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Chapter 13, Problem 24P
A gearbox is to be designed with a compound reverted gear train that transmits 25 horsepower with an input speed of 2500 rev/min. The output should deliver the power at a rotational speed in the range of 280 to 300 rev/min. Spur gears with 20° pressure angle are to be used. Determine suitable numbers of teeth for each gear, to minimize the gearbox size while providing an output speed within the specified range. Be sure to avoid an interference problem in the teeth.
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A gearbox is needed to provide an exact increase in speed, while
minimizing the overall gearbox size. The input and output shafts should be
in-line. Specify appropriate teeth numbers. The gearbox is required to
transmit 18 kW from a shaft rotating at 2650 rpm. The desired output speed
is exactly 13250 rpm. For space limitation and standardization reasons a
double step-up gearbox is requested. Using the limited selection of gears
presented in Tables 6.7 to 6.10, select suitable gears for the gears and
pinions
24
2650 rpm
Table 6.7 Spur gears: 1.0 module, heavy duty steel 817M40, 655M13, face width 15 mm
Outer Boss Bore
Part
PCD diameter diameter diameter
number Teeth (mm) (mm) (mm) (mm)
SG1.9 9
SG1-10 10
SG1-11 11
SG1-12 12
10:00 12:00 12
11.00 13.00 13
12.00 14.00 14
12.00 14.00 14
SG1-13 13 1300 15.00 15 6
SG1-14 14 1400 16.00 16 6
15.00 17.00
SG1-15 15
6
SG1-16 16
16.00 18.00
SG1-17 17
17.00 19.00 18
SG1-18 18
18.00 20.00 18
SG1-19 19
19:00 21.00
SG1-20 20
2000 2200
21.00 2300
2200…
A compound gearbox is needed to provide 33:1 increase the speed, while minimizing the overall gearbox size. Specify appropriate teeth numbers.
A four-speed sliding gear
box of an automobile is to
be designed to give speed
ratios of 4, 2.5, 1.5 and 1
approximately for the first, second, third and
top gears respectively. The input and the output
shafts have the same alignment. The horizontal
central distance between them and the lay shaft
is 90 mm. The teeth have a module of 4 mm. No
wheel has less than 15 teeth. Calculate suitable
number of teeth on each wheel and find the
12.3
actual speed ratios attained.
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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- A gearbox is to be designed with a compound reverted gear train that transmits 25 horsepower with an input speed of 1000 rev/min. The output should deliver the power at a rotational speed in the range of 280 to 300 rev/min. Spur gears with 20° pressure angle are to be used. Determine suitable numbers of teeth for each gear, to minimize the gearbox size while providing an output speed within the specified range. Be sure to avoid an interference problem in the teeth. The suitable numbers of teeth for each gear to minimize the gearbox size while providing an output speed within the specified range are N2= N3= N4= N5= teeth teeth teeth teetharrow_forwardA gearbox is needed to provide an exact increase in speed, while minimizing the overall gearbox size. The input and output shafts should be in-line. Specify appropriate teeth numbers. The gearbox is required to transmit 18 kW from a shaft rotating at 2650 rpm. The desired output speed is exactly 13250 rpm. For space limitation and standardization reasons a double step-up gearbox is requested. Using the limited selection of gears presented in Tables 6.7 to 6.10, select suitable gears for the gears and pinions 2650 rpm 13250 rpmarrow_forwardRequired information A gearbox with a compound reverted gear train transmits 25 horsepower with an input speed of 2500 rev/min. Spur gears with a diametral pitch of 4 teeth/in anda 20° pressure angle are used with 15 teeth on the each of the small gears and 44 teeth on each of the larger gears. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the output torque, neglecting frictional losses. The output torque To is Ibf-in.arrow_forward
- 4. A pair of spur gears with a centre distance of 495 mm is used for a speed reduction of 4.5:1. The module is 6 mm. Calculate the number of teeth on the pinion and the gear.arrow_forwardA pickup truck is driving at a speed of 100 km/h on a leveled road. This truck has 4 wheels of the same diameter of 400 mm and drives at a gear ratio of 5 to 1 if its gearbox 5th gear is selected. The gear's teeth are of involute form with a module of 8 mm, an addendum is double the module, and the pressure angle is equal to 20°. 1.1. If the driving shaft of the front wheels of the truck is connected to the output shaft of the gearbox, determine the number of teeth on the pinion to avoid interference and the corresponding number of teeth on the gear wheel. 1.2. Calculate the gear maximum velocity of sliding.arrow_forwardThe gear ratio shown must transmit 10 horsepower (66000 lb in/s) from its input, which is rotating at a speed of 1200 revolutions per minute. It must increase the torque received at its input shaft 16 times. Spur gears with 20° pressure angle should be used. Input and output shafts should be aligned. The transmission should take up as little space as possible. The distance between the centers of the input shaft and the intermediate shaft (the one that loads gears 3 and 4) should be 10 inches. Determine the magnitude of the radial load that gear 4 exerts on gear 4. Write your answer in pounds.arrow_forward
- Two 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_forward80 Design a two-speed gearbox suitable to transmit 25kW. The input shaft runs at 630rpm and carries two gears, A and B. The 2nd shaft carries two sliding gears, C and D. Gear C meshes with gear A, giving the driven shaft a speed of approximately 315rpm. Gear D meshes with B giving the driven shaft a speed of approximately 215rprn. The distance between the centres of the shafis is approximately 270mm and the teeth are 20° full depth involute. Using a module of 6mm and basic stress of 120MPa for all the gears, apply the Lewis formula and calculate: No of teeth for each gear [30;23;60,67] PCD for each gear [180; 138,360;402)mm True speed of gears C and D [216;27] Correct centre distance between the shafts (270) Width of the tooth material for each gear if [A&C:47mmm; B&D:53mm] the basic stress is 120MPa, using the Lewis formula. a) b) d) e) f)arrow_forwardTwo identical involute, spur gears are in mesh. The module is 4 mm and each gear has 22 teeth If the operating pressure angle is 20° The minimum value of addendum needed to ensure continuous transmission of motion isarrow_forward
- A 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_forwardA planetary gear box is needed to provide 30:1 increase the speed, while minimizing the overall gearbox size. Specify appropriate teeth numbers.arrow_forwardA pair of standard 20o full-depth spur gears has a module of 1 mm. The driven gear has 30 teeth. Determine the minimum number of teeth for the pinion so that the contact ratio is greater than 1.6.arrow_forward
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