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THE FEUTEX TOOLKIT

Euler Column Buckling Model

Estimate ideal elastic buckling load, slenderness and critical average stress.

Civil Engineering workspace● Runs in your browser
01 Your input
02 Your result
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FormulaPcr=π²EI/(KL)²; slenderness=KL/√(I/A).
Sources and model references

Worked example

Inputs

Young modulus
200000000000 Pa
Minimum second moment
8e-06 m⁴
Column length
3 m
Effective length factor
1
Area
0.004 m²

Expected results

Ideal critical load
1754596.338 N
Slenderness ratio
67.08203932
Ideal critical stress
438649084.5 Pa

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter every input in the labeled units; use measured or independently specified properties.
  2. Check the stated model assumptions before calculating.
  3. Interpret the output as a model estimate and verify it independently for the intended application.

Try this example

{
  "e": 200000000000,
  "i": 0.000008,
  "length": 3,
  "k": 1,
  "area": 0.004
}

Accuracy and scope

Perfect straight slender elastic column; ignores imperfections, residual stress, inelasticity and code factors. Educational engineering estimate only; not structural or safety certification, equipment selection, or operating recommendations.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.