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Euler Column Buckling Calculator

Critical buckling load Pcr from E, I, L, and end-condition factor K.

Euler critical buckling load for slender columns — Pcr = π²EI / (KL)². Pick end conditions for the effective length factor K.

Elastic modulus E (psi)

Steel ≈ 29×10⁶ psi.

Moment of inertia I (in⁴)

Column length L (in)

End conditions

Results

Critical load Pcr

49,691 lbf

Effective length KL

120.0 in

K factor

1.00

Critical buckling load Pcr ≈ 49,691 lbf (K=1.00, L=120.0 in). Slenderness and yield interaction need Johnson/ACI/AISC checks for design.

engineeringEngineering screening only. Engineering screening calculator only — not a substitute for licensed professional engineering, API/ASME/code-compliant design, certified reserves audits, regulatory well approvals, or field-measured PVT and flow data. Verify all inputs, units, and correlations against your facility standards and qualified sign-off before operations or design decisions.

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Related guides

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Buckling fails suddenly — Euler gives the upper bound for slender columns

When compressive load exceeds Pcr, slender columns fail by instability rather than material yield. End conditions enter through the effective length factor K.

Real design requires slenderness limits, imperfection factors, and interaction with yield — Johnson and code columns extend Euler for intermediate lengths.

This calculator is a teaching and screening aid for mechanical and civil workflows before full FEA or code checks.

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