Engineering

Column Buckling Calculator

Euler critical buckling load.

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ⓘ Live results

Results
Critical buckling load
987 kN
Effective length
3 m
Safe load (FoS 2)
493.5 kN
In tonnes force
100.61

Quick answer

Euler buckling load depends on stiffness divided by the square of effective length.

Pcr = π²EI ÷ (KL)²

How to use the Column Buckling Calculator

  1. 1Enter the material modulus and section I.
  2. 2Enter the column length.
  3. 3Choose the end restraint condition.

Worked example

Using the values the calculator loads with:

Inputs

  • Young's modulus200 GPa
  • Second moment of area450 cm⁴
  • Length3 m
  • End conditionBoth ends pinned

Results

  • Critical buckling load987 kN
  • Effective length3 m
  • Safe load (FoS 2)493.5 kN
  • In tonnes force100.61

Frequently asked questions

Why does end condition matter so much?

Fixing both ends quarters the effective length and quadruples capacity.

Does Euler apply to short columns?

No — short columns fail by crushing, not buckling.

About this calculator

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.