5. (a) (b) (c) A coach driving shaft of 200 mm diameter is subjected to a torque of 126 kNm and a pure bending moment of 157 kNm. During inspection, a small surface crack is observed at 60° to the longitudinal axis of the shaft, as shown in Fig.Q6. Determine the normal and shear stresses at the crack as it passes through positions A, B and C during rotation of the shaft Display stress elements for points A, B and C on the outer surface Derive expressions for the principal stresses and determine principal stresses at A. B. and C

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Question
6.
(a)
(b)
(c)
A coach driving shaft of 200 mm diameter is subjected to a
torque of 126 kNm and a pure bending moment of 157 kNm.
During inspection, a small surface crack is observed at 60° to
the longitudinal axis of the shaft, as shown in Fig.Q6.
25
M
Determine the normal and shear stresses at the crack as it
passes through positions A, B and C during rotation of the
shaft
Display stress elements for points A, B and C on the outer
surface
Derive expressions for the principal stresses and determine
principal stresses at A, B, and C
T
Surface crack
B
M
C
M
A
Fig.Q6
-60°
Kow
60°
M
y-
PE
Transcribed Image Text:6. (a) (b) (c) A coach driving shaft of 200 mm diameter is subjected to a torque of 126 kNm and a pure bending moment of 157 kNm. During inspection, a small surface crack is observed at 60° to the longitudinal axis of the shaft, as shown in Fig.Q6. 25 M Determine the normal and shear stresses at the crack as it passes through positions A, B and C during rotation of the shaft Display stress elements for points A, B and C on the outer surface Derive expressions for the principal stresses and determine principal stresses at A, B, and C T Surface crack B M C M A Fig.Q6 -60° Kow 60° M y- PE
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