Understanding Buckling: The Impact of Moments vs Applied Forces

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Discussion Overview

The discussion revolves around the concept of buckling in structural mechanics, specifically examining whether a moment about the end of a beam can cause buckling or if it requires an applied force. The scope includes theoretical considerations and implications for structural integrity.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions whether a moment can cause buckling, seeking clarification on the role of applied forces.
  • Another participant asserts that an end applied moment cannot cause buckling, referencing the deflection equation and stating that the moment is not a function of deflection.
  • A different participant introduces the concept of localized buckling occurring after deformation, suggesting that it can manifest as kinking at the edges of a beam.
  • One participant expresses uncertainty about whether localized buckling would lead to structural failure, speculating that bending stresses due to deflection might be the primary concern.

Areas of Agreement / Disagreement

Participants express differing views on the role of moments versus applied forces in causing buckling, with no consensus reached on the implications of localized buckling for structural failure.

Contextual Notes

Limitations include the lack of information on end conditions and the specific definitions of buckling and localized buckling, which may affect the discussion.

roanoar
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Can a moment about the end of something cause buckling or does it need to be an applied force?

For instance the uploaded image

Thanks!
 

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Although I do not know your end conditions from your drawing, a end applied moment cannot cause buckling. Buckling arise from the deflection equation E I y'' = M where M is proportional to the lateral deflection, y. In your problem, M, shown above, is just your end applied load and is never a function of the deflection.
 
thank you!
 
No problem,

I thought I would reply with some additions. My colleague informed me that you can get localized buckling after the beam has deformed. Localized buckling means that it can kink at the edges.
 
I see. That does make sense. Would that lead to structural failure though?
 
I honestly don't know. I would suspect, however, that the failure criterion that you need to worry about is the bending stresses due to the deflection.
 

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