Euler Buckling Load Calculator
Compute the critical buckling load P_cr = π²EI/(KL)² of a column.
Input Data
Input Modulus E.
Pa
Input Second moment I.
m⁴
Input Length L.
m
Input Effective length K.
Results
493,480.22N
P_cr = π²EI/(KL)² = 493480.22 N
At a glance:Euler Buckling Load Calculator: enter parameters to compute results; complements related calculators.
Formula
P_cr = π² E I / (K L)²
K: end-restraint factor (pinned=1, fixed=0.5, cantilever=2)
How to Use
- Enter modulus E and second moment I.
- Enter length L and end factor K.
- Get critical buckling load P_cr.
Case Studies
Steel column E=200GPa
E=200e9, I=1e-6, L=2, K=1 → P_cr≈4.93×10⁵ N.
FAQ
How to pick K?
From end conditions: pinned-pinned K=1, fixed-fixed K=0.5, fixed-free K=2.
Related Tools
References
Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.