The drivetrain transfers 3 HP at a pinion sha machinery has "moderate shock" loading) Standard, full-depth 20-degree pitch AGMA gears are made from solid disks (no thin rim

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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1. A pair of spur gears is to be selected for a drivetrain. The pinion is labeled 2, and the gear is
labeled 3. The following are given:
The drivetrain transfers 3 HP at a pinion shaft speed of 800 RPM (electric motor, driven
machinery has "moderate shock" loading)
Standard, full-depth 20-degree pitch AGMA teeth
gears are made from solid disks (no thin rims)
gear quality index is Q, = 1o
N2 = 26, Na = 55, Pa = 14, face width F = 1.52 inches
a) Find the pitch diameter of the pinion, torque load on the pinion, and tooth tangential force
Lin. T 36,31
W 254,55
in-Ibf
Ibf
b) Find the bending stress factors, and then compute the tooth bending stress
Bending stress geometry factor for the pinion, J, 0,346
V 386.93
K, 1.1
Pitch line velocity
feet / minute
Dynamic factor
Application factor
K. 1.25
Load distribution factor
Size factor
K, 1.03
Rim thickness factor
Idler factor
Bending stress, o, 0.13
psi
c) The selected material is an AGMA Grade 2 steel with Brinell Hardness 240 HB. Find the
fatigue bending strength and factor of safety for bending fatigue failure given the following
• 200°F operating temperature
99 % reliability
10' loading cycles
Stb.
psi
No.
Transcribed Image Text:1. A pair of spur gears is to be selected for a drivetrain. The pinion is labeled 2, and the gear is labeled 3. The following are given: The drivetrain transfers 3 HP at a pinion shaft speed of 800 RPM (electric motor, driven machinery has "moderate shock" loading) Standard, full-depth 20-degree pitch AGMA teeth gears are made from solid disks (no thin rims) gear quality index is Q, = 1o N2 = 26, Na = 55, Pa = 14, face width F = 1.52 inches a) Find the pitch diameter of the pinion, torque load on the pinion, and tooth tangential force Lin. T 36,31 W 254,55 in-Ibf Ibf b) Find the bending stress factors, and then compute the tooth bending stress Bending stress geometry factor for the pinion, J, 0,346 V 386.93 K, 1.1 Pitch line velocity feet / minute Dynamic factor Application factor K. 1.25 Load distribution factor Size factor K, 1.03 Rim thickness factor Idler factor Bending stress, o, 0.13 psi c) The selected material is an AGMA Grade 2 steel with Brinell Hardness 240 HB. Find the fatigue bending strength and factor of safety for bending fatigue failure given the following • 200°F operating temperature 99 % reliability 10' loading cycles Stb. psi No.
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