Concrete · Slabs & post-tensioning
Two-way slab calculator
Moments in both directions for a rectangular slab simply supported on four edges.
Standard: AS 3600 Cl 9 · Grashof–Rankine strips
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 |
|---|---|---|
| Short span Lx | 4 | m |
| Long span Ly | 6 | m |
| Thickness D | 180 | mm |
| Cover | 25 | mm |
| Bar diameter | 12 | mm |
| f'c | 32 | MPa |
| fsy | 500 | MPa |
| Superimposed dead | 1 | kPa |
| Live load | 3 | kPa |
Worked example — results
| Result | Value | Unit |
|---|---|---|
| Ly/Lx | 1.50 | |
| w* | 11.1 | kPa |
| αx = r⁴/[8(1+r⁴)] | 0.1044 | |
| Mx* (short span) | 18.5 | kNm/m |
| My* (long span) | 8.24 | kNm/m |
| Short-span bars N12 @ | 300 | mm |
| Long-span bars N12 @ | 300 | mm |
| Ast,x / Ast,y | 299 / 305 | mm²/m |
- ✓ Two-way action (Ly/Lx ≤ 2)
- ✓ Steel ≥ minimum both ways
Method, formulas and assumptions
- Strips share load by equal mid-span deflection: wx = w r⁴/(1 + r⁴), wy = w/(1 + r⁴), r = Ly/Lx
- Mx = wx Lx²/8 = 18.5; My = wy Ly²/8 = 8.24 kNm/m
- dx = D − c − db/2 = 149 mm; dy = dx − db = 137 mm
- Conservative for slabs with held-down corners or continuity (AS 3600 Table 6.10.3.2 coefficients give lower moments).
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For preliminary design and education. Check every result against the current standard and your own engineering judgement before use.