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
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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]
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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