Solvers/structural/column-buckling

Euler Column Buckling & Critical Load Solver

Determine the critical buckling load and slenderness ratio for structural compression members using Euler's buckling theory with variable boundary fixities.

Column Parameters & Support Fixity

End Restraint Condition

Column Length (L) [m]

Elastic Modulus (E) [GPa]

Inertia [cm⁴]

Area [cm²]

Yield [MPa]

Critical Buckling Load (Pcr)

5551.7 kN

Critical Stress (σ_cr)

1110.3 MPa

Slenderness Ratio (λ)

42.2

Failure Mode: Inelastic / Plastic Yielding

Calculation Steps

1. Effective Length & Slenderness

Effective length based on boundary end restraints and column radius of gyration.

2. Euler Critical Buckling Load (Pcr)

Theoretical axial load at which bifurcation and column buckling occurs.

3. Critical Stress Check

Yielding governs (Column is short/stocky, requires Johnson-Euler parabola or AISC design code).

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Recommended Reference Handbooks & Standards

Handpicked essential literature for Euler Column Buckling & Critical Load Solver

Affiliate Partner

Industry Code

AISC Steel Construction Manual (16th Ed)

by American Institute of Steel Construction

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Governing Equation

Analytical equations compliant with standard university curricula and professional engineering practice codes.