DIt is required to design a pair of spur gears with 20° full-depth involute teeth. The input shaft rotates at 720 rpm and receives 5 kW power through a lexible coupling. The speed of the output shaft should be 144 rpm. The pinion as well as the gear are made of steel Fe 410 (S. = 410 N/mm). The service factor.for the application is 1.25. The gears are machined to meet the specifications of Grade 6. %3D [LO 6, 7] (i) Assume suitable number of teeth for the pinion and the gear. (ii) For preliminary calculations, assume the pitch line velocity as 5 m/s and the factor of safety as 2. Estimate the module and select the first preference value of the module. (iii) Using this value of the module, calculate the pitch circle diameters of the pinion and gear and the face width. (iv) Determine static load and the dynamic load by Buckingham's equation. Also calculate the beam strength and the correct value of factor of safety based on beam strength. (v) Using a factor of safety of 2 for wear strength, specify the surface hardness for [Ans. (i) 18 and 90 teeth, (ii) 4.89 or 5 mm, gears. (iii) 90, 450 and 50 mm, (iv) 1473.66, 5993 and 10523.33 N; (fs) = 1.34 (v) 361.33 or 370 BHN]
DIt is required to design a pair of spur gears with 20° full-depth involute teeth. The input shaft rotates at 720 rpm and receives 5 kW power through a lexible coupling. The speed of the output shaft should be 144 rpm. The pinion as well as the gear are made of steel Fe 410 (S. = 410 N/mm). The service factor.for the application is 1.25. The gears are machined to meet the specifications of Grade 6. %3D [LO 6, 7] (i) Assume suitable number of teeth for the pinion and the gear. (ii) For preliminary calculations, assume the pitch line velocity as 5 m/s and the factor of safety as 2. Estimate the module and select the first preference value of the module. (iii) Using this value of the module, calculate the pitch circle diameters of the pinion and gear and the face width. (iv) Determine static load and the dynamic load by Buckingham's equation. Also calculate the beam strength and the correct value of factor of safety based on beam strength. (v) Using a factor of safety of 2 for wear strength, specify the surface hardness for [Ans. (i) 18 and 90 teeth, (ii) 4.89 or 5 mm, gears. (iii) 90, 450 and 50 mm, (iv) 1473.66, 5993 and 10523.33 N; (fs) = 1.34 (v) 361.33 or 370 BHN]
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![O It is required to design a pair of spur gears with
20° full-depth involute teeth. The input shaft rotates
at 720 rpm and receives 5 kW power through a
flexible coupling. The speed of the output shaft
should be 144 rpm. The pinion as well as the gear
are made of steel Fe 410 (S = 410 N/mm). The
service factor.for the application is 1.25. The gears
are machined to meet the specifications of Grade 6.
ut
[LO 6, 7]
(i) Assume suitable number of teeth for the
pinion and the gear.
(ii) For preliminary calculations, assume the pitch
line velocity as 5 m/s and the factor of safety
as 2. Estimate the module and select the first
preference value of the module.
(iii) Using this value of the module, calculate the
pitch circle diameters of the pinion and gear
and the face width.
(iv) Determine static load and the dynamic load
by Buckingham's equation. Also calculate the
beam strength and the correct value of factor
of safety based on beam strength.
(v) Using a factor of safety of 2 for wear strength,
specify the surface hardness for gears.
[Ans. (i) 18 and 90 teeth, (ii) 4.89 or 5 mm,
(iii) 90, 450 and 50 mm,
(iv) 1473.66, 5993 and 10523.33 N; (fs) = 1.34
%3D
(v) 361.33 or 370 BHN]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cba1d19-9bf5-4bef-a0aa-8ce18f4e4237%2F9b35209a-c82f-4106-8c9d-78dd35f66c4d%2Fngtexjp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:O It is required to design a pair of spur gears with
20° full-depth involute teeth. The input shaft rotates
at 720 rpm and receives 5 kW power through a
flexible coupling. The speed of the output shaft
should be 144 rpm. The pinion as well as the gear
are made of steel Fe 410 (S = 410 N/mm). The
service factor.for the application is 1.25. The gears
are machined to meet the specifications of Grade 6.
ut
[LO 6, 7]
(i) Assume suitable number of teeth for the
pinion and the gear.
(ii) For preliminary calculations, assume the pitch
line velocity as 5 m/s and the factor of safety
as 2. Estimate the module and select the first
preference value of the module.
(iii) Using this value of the module, calculate the
pitch circle diameters of the pinion and gear
and the face width.
(iv) Determine static load and the dynamic load
by Buckingham's equation. Also calculate the
beam strength and the correct value of factor
of safety based on beam strength.
(v) Using a factor of safety of 2 for wear strength,
specify the surface hardness for gears.
[Ans. (i) 18 and 90 teeth, (ii) 4.89 or 5 mm,
(iii) 90, 450 and 50 mm,
(iv) 1473.66, 5993 and 10523.33 N; (fs) = 1.34
%3D
(v) 361.33 or 370 BHN]
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