Understanding Buckling: The Impact of Moments vs Applied Forces

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SUMMARY

In the discussion on buckling, it is established that an end applied moment cannot cause buckling; rather, buckling arises from the deflection equation E I y'' = M, where M is proportional to lateral deflection. The conversation highlights that localized buckling can occur after a beam has deformed, which may lead to structural failure. The primary concern for structural integrity is the bending stresses resulting from deflection, not the moments applied at the ends.

PREREQUISITES
  • Understanding of the deflection equation E I y'' = M
  • Knowledge of localized buckling phenomena
  • Familiarity with bending stress concepts in structural engineering
  • Basic principles of beam mechanics
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  • Research the implications of localized buckling in structural design
  • Study the relationship between bending stresses and deflection in beams
  • Explore advanced topics in beam mechanics and stability analysis
  • Learn about failure criteria in structural engineering
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Structural engineers, civil engineering students, and professionals involved in the design and analysis of beam structures would benefit from this 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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