EngiRef / Civil Engineering Formula
Euler Buckling Load
Euler Buckling Load: Critical buckling load for slender columns. A Columns formula in civil engineering. Variables Pcr, E, I, K and L, each with SI and…
Columns
Specification
- Name
- Euler Buckling Load
- Discipline
- civil
- Category
- Columns
- LaTeX
- P_{cr} = \frac{\pi^2 EI}{(KL)^2}
- Description
- Critical buckling load for slender columns
- Conditions
- Valid for long, slender columns; K depends on end conditions
- Can solve for
- Pcr, E, I, L
- Tags
- buckling, euler, column, critical
Variables
| Symbol | Name | Unit | Si Unit | Imperial Unit |
|---|---|---|---|---|
| Pcr | Critical Load | N | N | lbf |
| E | Elastic Modulus | Pa | Pa | psi |
| I | Moment of Inertia | m⁴ | m⁴ | in⁴ |
| K | Effective Length Factor | - | - | - |
| L | Column Length | m | m | ft |
Common questions
- What is the Euler Buckling Load formula?
- Critical buckling load for slender columns. It sits under Columns, Civil engineering in the EngiRef reference.
- What do the symbols in the Euler Buckling Load formula mean?
- In Euler Buckling Load, Pcr is critical load in N; E is elastic modulus in Pa; I is moment of inertia in m⁴; K is effective length factor; L is column length in m.
- When does the Euler Buckling Load formula apply?
- Euler Buckling Load holds under this condition: Valid for long, slender columns; K depends on end conditions.