Buckling: Load applied to edge

In summary, when calculating buckling force, Euler's formula can be used for an eccentric compressive load that generates both an axial compressive force and a bending moment. A theoretical approach can be found at the link provided and the AISC ASD and API RP 2a WSD codes can be consulted for practical design considerations. These codes take into account the compressive axial stress, inplane bending stress, and outplane bending stress in relation to the specific beam-column being analyzed.
  • #1
roanoar
13
0
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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  • #2
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.
 
Last edited:
  • #3
thank you i'll look at this
 

1. What is buckling?

Buckling is a structural instability that occurs when a compressive load is applied to a slender column or beam. It causes the structural member to suddenly bend or collapse due to its inability to withstand the load.

2. What causes buckling?

Buckling is caused by a combination of compressive stress and imperfections in the structural member, such as material defects, irregularities in shape, or inadequate support. It can also be triggered by sudden changes in loading or temperature.

3. How is buckling different from bending?

While both buckling and bending involve the deformation of a structural member, they occur in different ways. Buckling is a sudden, catastrophic failure due to compressive forces, while bending is a gradual deformation caused by tensile or shear forces.

4. How can buckling be prevented?

Buckling can be prevented by designing the structural member to have sufficient strength and stiffness to withstand the expected compressive load. This can be achieved by using materials with high compressive strength, increasing the cross-sectional area, or providing additional support.

5. What are the consequences of buckling?

The consequences of buckling can range from minor structural damage to complete collapse, depending on the severity of the buckling and the type of structure. In addition to the immediate danger, buckling can also lead to costly repairs and potential hazards for occupants or nearby structures.

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