below. Determine: (1) the torque in shaft c-d to the nearest in-lb and (2) the angle of twist at point a in degrees with two decimal places.

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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Photo by Norbert Schnitzler, CC BY-SA 2.0
simple
model
36 in
bearing bearing
fixed support
A simplified model of two solid circular
shafts connected by two rigid gears is given
below. Determine: (1) the torque in shaft
c-d to the nearest in-lb and (2) the angle
of twist at point a in degrees with two
decimal places.
b
bearing
bearing
a
62 in
Notes: top view (sketch not to scale)
- gear b radius= 1.25 in
- gear c radius = 4.60 in
- shaft ab radius = 1.00 in
-shaft cd radius = 0.75 in
- shear modulus = 12000 ksi
1100 in-lb
Transcribed Image Text:Photo by Norbert Schnitzler, CC BY-SA 2.0 simple model 36 in bearing bearing fixed support A simplified model of two solid circular shafts connected by two rigid gears is given below. Determine: (1) the torque in shaft c-d to the nearest in-lb and (2) the angle of twist at point a in degrees with two decimal places. b bearing bearing a 62 in Notes: top view (sketch not to scale) - gear b radius= 1.25 in - gear c radius = 4.60 in - shaft ab radius = 1.00 in -shaft cd radius = 0.75 in - shear modulus = 12000 ksi 1100 in-lb
Expert Solution
Step 1: Introduction

To determine the torque in the shaft and the angle of twist at a point

given

radius of gear b=r subscript b equals 1.25 space i n equals 0.03175 space m

radius of the gear c, r subscript c space equals 4.60 space i n equals 0.116 space m

radius of the shaft ab, r subscript 1 space equals 1 space i n space equals 0.0254 space m

shaft of the radius cd, r subscript 2 equals space 0.75 space equals 0.01905 space m

shear modulus G equals 12000 space k s i space equals 8.27 cross times 10 to the power of 10 space P a

torque in section A is T subscript 1 space equals 1100 space i n l b equals 124.283 space N m

length of the shaft, 62 space i n space equals 1.574 space m


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