Steel · Columns & beam-columns
Steel column (AS 4100 compression + bending) calculator
Section and member compression capacity about both axes, moment capacities and combined-action utilisation for UB/UC sections.
Standard: AS 4100 Cl 6.2–6.3 (αc, λn, αb) · Cl 8.3–8.4 combined actions
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 |
|---|---|---|
| Section | 250UC72.9 | |
| Effective length Lex (major) | 6 | m |
| Effective length Ley (minor) | 3 | m |
| Design axial N* | 1200 | kN |
| Design major-axis moment M*x | 60 | kNm |
| Moment modification αm | 1 | |
| fy (0 = from section) | 0 | MPa |
Worked example — results
| Result | Value | Unit |
|---|---|---|
| Form factor kf | 1.000 | |
| φNs | 2,472 | kN |
| λn x / y | 59.4 / 50.5 | |
| αc x / y (αb = 0, hot-rolled) | 0.812 / 0.858 | |
| φNcx / φNcy | 2,007 / 2,121 | kN |
| Msx | 264.7 | kNm |
| Reduced section Mrx | 160.7 | kNm |
| In-plane Mix | 106.4 | kNm |
| Out-of-plane Mox (Mbx·(1 − N*/φNcy)) | 105.0 | kNm |
- ✓ N* ≤ φNc
- ✓ Section M* ≤ φMrx
- ✓ In-plane M* ≤ φMix
- ✓ Out-of-plane M* ≤ φMox
Method, formulas and assumptions
- kf = Ae/Ag from effective widths (flange outstand λey = 16, web λey = 45, HR)
- λn = (Le/r)·√kf·√(fy/250)
- αa = 2100(λn − 13.5)/(λn² − 15.3λn + 2050); λ = λn + αa·αb; η = 0.00326(λ − 13.5)
- ξ = [(λ/90)² + 1 + η]/[2(λ/90)²]; αc = ξ[1 − √(1 − (90/ξλ)²)]
- Mrx = 1.18Msx(1 − N*/φNs) ≤ Msx (compact doubly symmetric I)
- Mix = Msx(1 − N*/φNcx) and Mox = Mbx(1 − N*/φNcy): simplified, conservative forms of Cl 8.4
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For preliminary design and education. Check every result against the current standard and your own engineering judgement before use.