A circular solid shaft, with an radius of 20 mm and a length of 5 m and thin bearings at both ends, is subject to a point loading 1000 N in the middle. The young's modulus (E) is 200 GPa. i. Draw a shear force diagram (SFD) and a bending moment diagram (BMD) of this shaft. Compute the maximum deflection in the middle of the shaft. a) Hint: You should compute I (the second moment of inertia of the cross- section of the shaft) prior to determining the deflection. b) Hint: Use the table shown in the lecture note for calculating the ii. deflection. iii. cross section of the shaft. Compute the maximum shear stress due to a vertical shear force at a Hint: Use the formula to compute the shear stress. The maximum shear stress occurs at the neutral axis of the cross section of a shaft. iv. Compute the maximum normal stress due to a bending moment at a cross section of the shaft. Hint: Use the formula to compute the normal stress. The maximum normal stress occurs at the top or bottom of the cross section of a shaft.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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3.
A circular solid shaft, with an radius of 20 mm and a length of 5 m and thin
bearings at both ends, is subject to a point loading 1000 N in the middle. The young's
modulus (E) is 200 GPa.
Draw a shear force diagram (SFD) and a bending moment diagram
(BMD) of this shaft.
i.
Compute the maximum deflection in the middle of the shaft.
a) Hint: You should compute I (the second moment of inertia of the cross-
section of the shaft) prior to determining the deflection.
b) Hint: Use the table shown in the lecture note for calculating the
ii.
deflection.
iii.
cross section of the shaft.
Compute the maximum shear stress due to a vertical shear force at a
Hint: Use the formula to compute the shear stress. The maximum shear
stress occurs at the neutral axis of the cross section of a shaft.
Compute the maximum normal stress due to a bending moment at a
iv.
cross section of the shaft.
Hint: Use the formula to compute the normal stress. The maximum normal
stress occurs at the top or bottom of the cross section of a shaft.
= 1000N
Radius =r = 20 mm
-L= 5m-
Transcribed Image Text:3. A circular solid shaft, with an radius of 20 mm and a length of 5 m and thin bearings at both ends, is subject to a point loading 1000 N in the middle. The young's modulus (E) is 200 GPa. Draw a shear force diagram (SFD) and a bending moment diagram (BMD) of this shaft. i. Compute the maximum deflection in the middle of the shaft. a) Hint: You should compute I (the second moment of inertia of the cross- section of the shaft) prior to determining the deflection. b) Hint: Use the table shown in the lecture note for calculating the ii. deflection. iii. cross section of the shaft. Compute the maximum shear stress due to a vertical shear force at a Hint: Use the formula to compute the shear stress. The maximum shear stress occurs at the neutral axis of the cross section of a shaft. Compute the maximum normal stress due to a bending moment at a iv. cross section of the shaft. Hint: Use the formula to compute the normal stress. The maximum normal stress occurs at the top or bottom of the cross section of a shaft. = 1000N Radius =r = 20 mm -L= 5m-
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