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Column Slenderness Ratio Calculator — result sheet
Calculate effective length and KL/r slenderness ratio from unsupported length, effective-length factor, and radius of gyration.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Effective length = K × L; slenderness ratio = K × L ÷ r.
The calculator exposes the effective-length factor and the governing radius of gyration instead of guessing end restraints or cross-section behavior. It is a ratio check, not a structural design approval.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Unsupported length — length units; minimum 1.0E-6; maximum 1000000000
- Effective-length factor K — K; Select this from the applicable support and stability model.; minimum 1.0E-6; maximum 10
- Governing radius of gyration — length units; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Unsupported length | 3000 |
| Effective-length factor K | 1 |
| Governing radius of gyration | 40 |
Effective length = 3,000 length units and KL/r = 75.
Assumptions and limits
- Length and radius of gyration use the same unit.
- K and r describe the buckling axis and restraint case being reviewed.
- The result is a dimensionless geometric ratio.
- Material strength, imperfections, local buckling, loads, code limits, and connection design are not calculated.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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