EngiRef / Civil Engineering Formula
Euler Critical Stress
Euler Critical Stress: Critical buckling stress for slender columns. A Columns formula in civil engineering. Variables σcr, E, K, L and r, each with SI and…
Columns
Specification
- Name
- Euler Critical Stress
- Discipline
- civil
- Category
- Columns
- LaTeX
- \sigma_{cr} = \frac{\pi^2 E}{(KL/r)^2}
- Description
- Critical buckling stress for slender columns
- Conditions
- Long, slender column; elastic buckling
- Can solve for
- σcr, E, L, r
- Tags
- euler, buckling, stress, column, critical
Variables
| Symbol | Name | Unit | Si Unit | Imperial Unit |
|---|---|---|---|---|
| σcr | Critical Stress | Pa | Pa | psi |
| E | Elastic Modulus | Pa | Pa | psi |
| K | Effective Length Factor | - | - | - |
| L | Column Length | m | m | ft |
| r | Radius of Gyration | m | m | in |
Common questions
- What is the Euler Critical Stress formula?
- Critical buckling stress for slender columns. It sits under Columns, Civil engineering in the EngiRef reference.
- What do the symbols in the Euler Critical Stress formula mean?
- In Euler Critical Stress, σcr is critical stress in Pa; E is elastic modulus in Pa; K is effective length factor; L is column length in m; r is radius of gyration in m.
- When does the Euler Critical Stress formula apply?
- Euler Critical Stress holds under this condition: Long, slender column; elastic buckling.