Column with eccentric load - can it buckle?

In summary, the question is whether columns can buckle or only bend under significant eccentric loads. The specific cases discussed are vertical pressure vessel legs, vertical legs of a simple table, and double column car lift posts. It is possible for columns to buckle under eccentric loads, and the critical load can be calculated using the AISC Manual of Steel Construction. However, this is different from the elastic buckling described by Euler's theory.
  • #1
FEAnalyst
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TL;DR Summary
Can column with eccentric load buckle or not?
Hi,

this question is rather simple but it makes me confused after several discussions with friends. Can columns supporting some structure and placed on its edges buckle due to weight of the structure ? Here are the particular cases I'm talking about:
1) vertical pressure vessel's legs
2) vertical legs of a simple table
3) double column car lift's posts

In all these cases load is acting with significant eccentricity/offset. So can these columns buckle or maybe it's not possible and they will only bend ?

If it can buckle, then is it possible to calculate critical load for such case (since Euler's theory assumes load acting exactly in the middle of the column)?
 
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  • #2
FEAnalyst said:
... columns buckle or maybe it's not possible and they will only bend ...
An eccentrically loaded column will fail at a lower load than a symmetrically loaded column.
You need to define the two terms you use; “buckle” and “bend”.
 
  • #3
My (ancient) copy of the AISC Manual of Steel Construction, 7th Edition, has a section on allowable stresses for columns with eccentric loading. The book discusses plastic bending and local buckling, while Euler only applies to elastic buckling of the entire column. I would expect that the current 15th Edition would have more information.
 
  • #4
Buckling is usually understood to mean loss of stability, so that a small change in load causes a major change in deformation. Bending usually means only small changes in deformation are associated with small load changes.
 

1. What is a column with eccentric load?

A column with eccentric load is a structural element that is subjected to a load that is not aligned with its longitudinal axis, causing a bending moment to act on the column. This can result in buckling, which is the sudden failure of the column due to compressive stress exceeding its critical limit.

2. How does eccentric load affect the stability of a column?

Eccentric load creates a bending moment in the column, which can cause it to buckle. The magnitude and direction of the eccentricity, as well as the properties of the column, determine the stability of the column.

3. What factors influence the buckling of a column with eccentric load?

The factors that influence the buckling of a column with eccentric load include the magnitude and direction of the eccentricity, the cross-sectional shape and dimensions of the column, and the material properties of the column.

4. How can the buckling of a column with eccentric load be prevented?

To prevent buckling of a column with eccentric load, the eccentricity should be minimized, and the column should be designed with appropriate cross-sectional dimensions and material properties to resist the expected load and bending moment.

5. What are some common methods for analyzing a column with eccentric load?

Some common methods for analyzing a column with eccentric load include the Euler buckling equation, the Johnson's parabolic formula, and finite element analysis. These methods take into account the various factors that influence the buckling of the column and can provide accurate predictions of its stability.

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