Column Buckling Calculator
Calculate Euler critical buckling load, critical stress, and slenderness ratio for columns
Column Buckling Calculator
Calculate the Euler critical buckling load P_cr = π²EI/(KL)² for columns with different end conditions.
For a solid rectangle: r = h/√12. For a solid circle: r = d/4.
Results
Critical Load P_cr
1826.973 kN
= 1.8270e+6 N
Critical Stress σ_cr
182.697 MPa
Slenderness Ratio KL/r
103.45
Intermediate column — check transition
Effective Length KL
3.000 m
Formula
How to Use This Calculator
Enter your input values
Fill in all required input fields for the Column Buckling Calculator. Most fields include unit selectors so you can work in your preferred unit system.
Review your inputs
Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors.
Read the results
The Column Buckling Calculator instantly computes the output and displays results with units. All calculations happen in your browser — no loading time and no data sent to a server.
Formula Reference
Euler Critical Load
P_cr = π²EI / (K·L)²
Variables: E = elastic modulus, I = area moment of inertia, K = effective length factor, L = column length
When to Use This Calculator
- •Use the Column Buckling Calculator when solving homework or exam problems that require quick numerical verification of your hand calculations.
- •Use it during the design phase to rapidly iterate on parameters before running detailed finite element simulations.
- •Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility.
- •Use it to generate reference data for a technical report or presentation without manual computation.
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