Answered: A Coniflex, straight-tooth bevel…

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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A Coniflex, straight-tooth bevel gearset is supported on shafts with centerlines intersecting at a 90° angle. The gear is straddle mounted between closely positioned bearings, and the pinion overhangs its support bearing. The 15-tooth pinion rotates at 900 rpm, driving the 60-tooth gear, which has a di- ametral pitch of 6, pressure angle of 20°, and face width of 1.25 inches. The material for both gears is through-hardened Grade I steel with a hardness of BHN 300 (see Figure). It is desired to have a reliability of 90 percent, a design life of 10° cy- cles, and a governing safety factor of 2.5. Estimate the maximum horsepower that can be transmitted by this gear re- ducer while meeting all of the design specifications given.

Grade 2
Sy= 102 BHN + 16,400
50
40
30
Grade I
Sig= 77.3 BHN + 12,800
20
10
150
200
250 300
350
400
450
Brinell hardness, BHN
Figure
ANSIVAGMA tooth bending fatigue strength S'a
through-hardened gears.
for
Tooth bending fatigue strength, Sja. ksi

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