Enter positive E, I, L and K, selecting each unit. Optional positive area gives r and KL/r; optional nonnegative axial load gives load/Pcr. Optional 1–20 scenario rows: K, L, using the selected length unit.

Young’s modulus E

Modulus unit

Second moment of area I

Second moment unit

Column length L

Length unit

User effective length factor K

Cross-section area A, optional

Area unit (required when A supplied)

Applied axial load P, optional

Load unit (required when P supplied)

Optional scenarios: K, L — one pair per line (1–20)

Enter your values and select each required model and unit.

Calculated snapshot

Ideal straight, prismatic, linear-elastic Euler column about the axis of the supplied I. K is entirely user supplied, with no code presets. Inelastic buckling, imperfections, member design and code factors require governing models and remain unavailable. Load/Pcr is a mathematical ratio, never a compliance or safety pass.

Calculations and report stay in this browser. Copy or download only the last successful unchanged snapshot.

A QUICK WALKTHROUGH

How to use this tool

Enter positive E, I, L and K, selecting each unit. Optional positive area gives r and KL/r; optional nonnegative axial load gives load/Pcr. Optional 1–20 scenario rows: K, L, using the selected length unit.
Le = KL; Pcr = π²EI/(KL)²; r = √(I/A); λ = KL/r; ratio = P/Pcr.
Calculations and report stay in this browser. Copy or download only the last successful unchanged snapshot.

Scope and limitations

Equations

Le = KL; Pcr = π²EI/(KL)²; r = √(I/A); λ = KL/r; ratio = P/Pcr.

How to use

GOOD TO KNOW

Common questions

What does this result establish?

Are inputs uploaded?