How to Calculate Buckling Force for Edge-Applied Loads?

AI Thread Summary
Calculating buckling force for edge-applied loads involves understanding that an eccentric compressive load creates both a bending moment and an axial compressive force, which is particularly relevant in steel structures. Euler's formula can be adapted for this scenario by considering the combined effects of compressive axial stress and bending stresses. Resources like the AISC ASD code and API RP 2a WSD provide insights into how these factors are integrated into design criteria for beam-columns. The total stress state must be evaluated against established code criteria to ensure structural integrity. Understanding these principles is crucial for accurate buckling force calculations in engineering applications.
roanoar
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When calculating buckling force i have only found how to calculate it with a force applied to the entire cross section, how can you use Euler's if the force is applied just to an edge or point.


Thanks
 
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An eccentric compressive load will act also like a bending moment, at the same time it generates an axial compressive force. This is closer to what happens in steel structures.

If you are looking for a more theoretical aproach, this link might be useful:

http://www.efunda.com/formulae/solid_mechanics/columns/theory.cfm

Also, I recommend AISC ASD (Allowable Stress Design) old code for an insight of how this behaviour could be taken into account in steel structures design, or API RP 2a WSD for steel pipes.

For short, the compressive axial stress, inplane bending stress and outplane bending stress are added as fractions of the whole beam-column elastic buckling state, and compared to the code's criteria that applies to your specific beam-column.
 
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thank you i'll look at this
 

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