What is Euler buckling?

Euler buckling is elastic lateral instability of a slender column under compressive load. The critical load P_cr = π²EI/(KL)² depends on material stiffness, cross-section, and end conditions.

What is the effective length factor K?

K adjusts for end conditions: pinned-pinned K=1, fixed-free K=2, fixed-pinned K=0.7, fixed-fixed K=0.5. A fixed end reduces effective length and increases buckling load.

When does Euler formula not apply?

Euler formula is valid only for slender columns (KL/r > 120 approximately). For intermediate columns, use the Johnson parabolic formula. For very short columns, yielding controls over buckling.

Euler Column Buckling Load Calculator

Calculate critical buckling load: P_cr = π²EI/(KL)². Effective length factor K: pinned-pinned=1, fixed-free=2, fixed-pinned=0.7, fixed-fixed=0.5. Check slenderness ratio KL/r.

2D stress state at a point. All stresses in MPa.

σx — Normal Stress X (MPa)

σy — Normal Stress Y (MPa)

τxy — Shear Stress (MPa)

⚙ Mechanical Note: Results are based on standard textbook formulas and ISO/AASHTO references. Always verify critical designs with applicable codes (ISO 898, AASHTO 1993, AISC, Eurocode 3) and a qualified engineer.

How to Use

Enter the values for the patient or scenario you are assessing. Calculate critical buckling load: P_cr = π²EI/(KL)². Effective length factor K: pinned-pinned=1, fixed-free=2, fixed-pinned=0.7, fixed-fixed=0.5. Check slenderness ratio KL/r. Use the euler buckling result to inform your clinical assessment.

Related Calculators

Bending Stress

Engineering

Cantilever Deflection

Engineering

Moment of Inertia

Engineering

Euler Column Buckling Load Calculator

How to Use

Related Calculators

Frequently Asked Questions

What is Euler buckling?

What is the effective length factor K?

When does Euler formula not apply?