The material of the beam has a Young's Modulus of 207GPa and a fatigue strength in reversed bending of 100MPa. There is a stress concentration factor of K₁=2.33 at the point where the beam enters its fixed support and the material has a notch sensitivity factor of 0.7. Calculate the minimum depth of the beam to avoid fatigue failure. (For a cantilever beam loaded at distance L from its support, deflection, 8, can be expressed as follows: 1 WL³ 8 = 3 El
The material of the beam has a Young's Modulus of 207GPa and a fatigue strength in reversed bending of 100MPa. There is a stress concentration factor of K₁=2.33 at the point where the beam enters its fixed support and the material has a notch sensitivity factor of 0.7. Calculate the minimum depth of the beam to avoid fatigue failure. (For a cantilever beam loaded at distance L from its support, deflection, 8, can be expressed as follows: 1 WL³ 8 = 3 El
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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![A cantilever beam in a machine is loaded at a point 200mm from its fixed end and experiences
deformations of ±3mm at the loading point.
b=?
L +W
The material of the beam has a Young's Modulus of 207GPa and a fatigue strength in reversed
bending of 100MPa. There is a stress concentration factor of K₁=2.33 at the point where the beam
enters its fixed support and the material has a notch sensitivity factor of 0.7.
Calculate the minimum depth of the beam to avoid fatigue failure.
8 = +3 mm
(Benham, Crawford and Armstrong, Chapter 7, p206)
(For a cantilever beam loaded at distance L from its support, deflection, 8, can be expressed as follows:
1 WL³
8 =
3 El
[Ans. 2.2mm]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0280cc21-8041-4b35-83af-094302e775e5%2F3fc4bf47-0978-4dbe-b388-68f3eadc6cf8%2Fc75yjgk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A cantilever beam in a machine is loaded at a point 200mm from its fixed end and experiences
deformations of ±3mm at the loading point.
b=?
L +W
The material of the beam has a Young's Modulus of 207GPa and a fatigue strength in reversed
bending of 100MPa. There is a stress concentration factor of K₁=2.33 at the point where the beam
enters its fixed support and the material has a notch sensitivity factor of 0.7.
Calculate the minimum depth of the beam to avoid fatigue failure.
8 = +3 mm
(Benham, Crawford and Armstrong, Chapter 7, p206)
(For a cantilever beam loaded at distance L from its support, deflection, 8, can be expressed as follows:
1 WL³
8 =
3 El
[Ans. 2.2mm]
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