Question 3 AC The circular stepped shaft ABD shown in Figure Q3 has its ends fixed against rotation. Segment AB is CD. completely solid, while segment BD is hollow. (a) Determine the distance x from the left hand end A of the shaft that a torque To should be applied so that [18 marks] the reactive torque at D is twice that at A. (b) Hence calculate the angle of twist in degrees at distance x from the left hand end, if To = 4 kNm and the [4 marks] shear modulus G = 95 x 103 N/mm². (c) What is the maximum shear stress in the portion AB, based on the To and G values previously stated? [3 marks] Note: You are expected to work from first principles. Apart from the basic formulas stated below, no other relationships should be used. Useful relationships: TT Go r Ip L A 30 mm diameter solid Pipe 50 mm outer diameter, and 40 mm inner diameter B -To 800 mm 800 mm Figure Q3
Question 3 AC The circular stepped shaft ABD shown in Figure Q3 has its ends fixed against rotation. Segment AB is CD. completely solid, while segment BD is hollow. (a) Determine the distance x from the left hand end A of the shaft that a torque To should be applied so that [18 marks] the reactive torque at D is twice that at A. (b) Hence calculate the angle of twist in degrees at distance x from the left hand end, if To = 4 kNm and the [4 marks] shear modulus G = 95 x 103 N/mm². (c) What is the maximum shear stress in the portion AB, based on the To and G values previously stated? [3 marks] Note: You are expected to work from first principles. Apart from the basic formulas stated below, no other relationships should be used. Useful relationships: TT Go r Ip L A 30 mm diameter solid Pipe 50 mm outer diameter, and 40 mm inner diameter B -To 800 mm 800 mm Figure Q3
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
Related questions
Question
![Question 3
AC
The circular stepped shaft ABD shown in Figure Q3 has its ends fixed against rotation. Segment AB is
CD.
completely solid, while segment BD is hollow.
(a) Determine the distance x from the left hand end A of the shaft that a torque To should be applied so that
[18 marks]
the reactive torque at D is twice that at A.
(b) Hence calculate the angle of twist in degrees at distance x from the left hand end, if To = 4 kNm and the
[4 marks]
shear modulus G = 95 x 103 N/mm².
(c) What is the maximum shear stress in the portion AB, based on the To and G values previously stated?
[3 marks]
Note: You are expected to work from first principles. Apart from the basic formulas stated below, no other
relationships should be used.
Useful relationships:
TT Go
r
Ip L
A
30 mm diameter solid
Pipe 50 mm outer diameter, and
40 mm inner diameter
B
-To
800 mm
800 mm
Figure Q3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2006393e-c97e-4081-8173-0190425f3dd9%2F4faf220b-e087-491a-b7f0-dc44703149bb%2Fp6ohma_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 3
AC
The circular stepped shaft ABD shown in Figure Q3 has its ends fixed against rotation. Segment AB is
CD.
completely solid, while segment BD is hollow.
(a) Determine the distance x from the left hand end A of the shaft that a torque To should be applied so that
[18 marks]
the reactive torque at D is twice that at A.
(b) Hence calculate the angle of twist in degrees at distance x from the left hand end, if To = 4 kNm and the
[4 marks]
shear modulus G = 95 x 103 N/mm².
(c) What is the maximum shear stress in the portion AB, based on the To and G values previously stated?
[3 marks]
Note: You are expected to work from first principles. Apart from the basic formulas stated below, no other
relationships should be used.
Useful relationships:
TT Go
r
Ip L
A
30 mm diameter solid
Pipe 50 mm outer diameter, and
40 mm inner diameter
B
-To
800 mm
800 mm
Figure Q3
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