A gear reducer similar to Figure 3–1(a), transmits power from input shaft AB to output shaft CD. The input torque and constant speed are T = 200 lbf-in and ωi = 60 rev/min, respectively. The output load torque and speed are To and ωo, respectively. (c) Shaft AB, with diameter 0.5 in, is supported by ball bearings at A and B, which can be treated as simple supports. For this shaft, the dimension from A to gear G1 is 1.5 in, and gear G1 to B is 2 in. The pitch radii of the gears are r1 = 1.0 in and r2 = 2.5 in. For the spur gears, the pressure angle, ϕ, is 20 degrees.
A gear reducer similar to Figure 3–1(a), transmits power from input shaft AB to output shaft CD. The input torque and constant speed are T = 200 lbf-in and ωi = 60 rev/min, respectively. The output load torque and speed are To and ωo, respectively. (c) Shaft AB, with diameter 0.5 in, is supported by ball bearings at A and B, which can be treated as simple supports. For this shaft, the dimension from A to gear G1 is 1.5 in, and gear G1 to B is 2 in. The pitch radii of the gears are r1 = 1.0 in and r2 = 2.5 in. For the spur gears, the pressure angle, ϕ, is 20 degrees.
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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Question
A gear reducer similar to Figure 3–1(a), transmits power from input shaft AB to
output shaft CD. The input torque and constant speed are T = 200 lbf-in and ωi = 60
rev/min, respectively. The output load torque and speed are To and ωo, respectively.
(c)
Shaft AB, with diameter 0.5 in, is supported by ball bearings at A and B, which can
be treated as simple supports. For this shaft, the dimension from A to gear G1 is 1.5
in, and gear G1 to B is 2 in. The pitch radii of the gears are r1 = 1.0 in and r2 = 2.5 in.
For the spur gears, the pressure angle, ϕ, is 20 degrees.
The book name is Shigleys
Transcribed Image Text:T
wi, T;= 240 lbf - in
B
AC
D
5 in
G2
H
4 in
(a) Gear reducer
Transcribed Image Text:The input shaft, AB, of the gear reducer in Problem 3-101 is made of AISI
1040 CD steel. Determine the factor of safety of the shaft using
(a) the maximum-shear-stress theory.
(b) the distortion-energy theory.
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