Flambagem (Euler)
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The Euler buckling calculator determines the critical load that causes structural failure in steel columns due to instability. It uses the formula Pcr = π²EI/L², where E is the steel's modulus of elasticity, I is the cross-sectional moment of inertia, and L is the column's length. This tool is essential for civil engineering projects involving steel structures.
The formula assumes ideal pinned ends and geometrically perfect columns. When applied load reaches Pcr, the column buckles and loses load-bearing capacity. The modulus of elasticity (E) and moment of inertia (I) depend on the material, while the length (L) is determined by the structural configuration.
It is suitable for designing pillars, towers, and simplified steel structures. Real-world factors like material imperfections or non-ideal supports can reduce safety margins. Always apply safety coefficients and validate with specialized software for complex systems.
Frequently asked questions
What is Euler's formula used for?
It calculates the maximum load a steel column can withstand before buckling, considering geometry and material properties.
What data is required for the calculation?
Column length, steel modulus of elasticity, cross-sectional moment of inertia, and support type (pinned, fixed, etc.).
Does this calculator work for short columns?
No, Euler's formula applies only to slender columns. For short columns, use methods like Johnson's formula.
How to account for material imperfections?
The idealized Euler formula doesn't include imperfections. Apply safety reduction factors per engineering standards in real projects.