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Construction & Materials

Euler Buckling Load Calculator

Estimate the critical buckling load of a slender column using Euler's formula.

Your inputs

Change any value to update the result instantly.

Construction & Materials
kPa
m⁴
m

Critical buckling load

17,545.9634 kN

Effective length KL

3 m

Slenderness factor (KL)²

9 m²

Radius of gyration approx.

0.0089 m

Formula and working

Pcr = π²EI ÷ (KL)²

  1. 1

    Collect the inputs

    Modulus of elasticity E = 200,000,000 kPa; Moment of inertia I = 0.0001 m⁴; Unsupported length L = 3 m; End condition (K) = 1

  2. 2

    Apply the formula

    Pcr = π²EI ÷ (KL)²

  3. 3

    Result

    Critical buckling load = 17,545.9634 kN

Frequently asked questions

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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