Timber · Columns & studs
Timber column (compression) calculator
Compression capacity with slenderness coefficient S, stability factor k12 and the material constant ρc.
Standard: AS 1720.1 Cl 3.3
Inputs in the worked example
The live calculator starts with these values; change any of them and every result, check and diagram updates instantly.
| Input | Value | Unit |
|---|---|---|
| Breadth (minor) | 90 | mm |
| Depth | 140 | mm |
| Effective length (minor axis) | 2.4 | m |
| Characteristic compression f′c | 22 | MPa |
| Capacity factor φ | 0.85 cat 2 | |
| Duration k1 | 0.8 (5 months) | |
| Moisture k4 | 1 | |
| Temperature k6 | 1 | |
| Material constant ρc | 1 | |
| Design compression N* | 45 | kN |
Worked example — results
| Result | Value | Unit |
|---|---|---|
| Slenderness S = le/b | 26.67 | |
| k12 | 0.281 | |
| φNc = φ k1 k4 k6 k12 f′c A | 53.01 | kN |
- ✓ N* ≤ φNc
Method, formulas and assumptions
- Slenderness S = le/b = 2.4*1000/90 = 26.667
- k12 = IF(1*26.667<=10,1,IF(1*26.667<=20,1.5-0.05*1*26.667,200/(1*26.667)^2)) = 0.28125
- φNc = φ k1 k4 k6 k12 f′c A = 0.85*0.8*1*1*0.28125*22*90*140/1000 = 53.014 kN
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For preliminary design and education. Check every result against the current standard and your own engineering judgement before use.