Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
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 14, Problem 21P

Repeat Prob. 14-19 using helical gears each with a 20° normal pitch angle and a helix angle of 30° and a normal diametral pitch of 6 teeth/in.

14-19 A commercial enclosed gear drive consists of a 20° spur pinion having 16 teeth driving a 48-tooth gear. The pinion speed is 300 rev/min, the face width 2 in, and the diametral pitch 6 teeth/in. The gears are grade 1 steel, through-hardened at 200 Brinell, made to No. 6 quality standards, uncrowned, and are to be accurately and rigidly mounted. Assume a pinion life of 108 cycles and a reliability of 0.90. Determine the AGMA bending and contact stresses and the corresponding factors of safety if 5 hp is to be transmitted.

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(b) Determine the safe power which can be transmitted by a pair of helical gears, 20° full depth, 25° helix angle having normal module of 5 mm. Both the pinion and the gear are made of forged C-30 steel for which the safe bending stress is 175 MPa and BHN = 150. The meshing gears have face width of 76-2 mm. The pinion speed is 2000 rpm and it has 20 teeth. The velocity ratio is 5: 1. Assume any missing data. %3D
14-21 A 20° spur pinion with 20 teeth and a module of 2.5 mm transmits 120 W to a 36-tooth gear. The pinion speed is 100 rev/min, and the gears are grade 1, 18-mm face width, through-hardened steel at 200 Brinell, uncrowned, manufactured to a No. 6 quality standard, and considered to be of open gearing quality installation. Find the AGMA bending and contact stresses and the corresponding factors of safety for a pinion life of 10° cycles and a reliability of 0.95.
A parallel shaft helical gear consists of a 20 dts drive pinion And a 96 driven gear. Both gears have a transverse diametrical pitch of 20 dts / in, a helix angle of 25 and a pressure angle on = 20 . The face width is 4 in., AND the gears are moving at 1600 ft / min, on the pitch line. The impeller is made of steel UNSG 10180 CD and without heat treatment; the driven one is made of grade 30 cast iron. Based on flexural strength calculations, evaluate the capacity or safe maximum power at hp. Consider general industrial service, and nG = 4.

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Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)

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