Foundations · Pad, strip & combined footings
Bearing capacity calculator
Ultimate and allowable bearing pressure for strip or rectangular footings with shape and depth factors.
Standard: Terzaghi / Meyerhof / Vesic
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 |
|---|---|---|
| Cohesion c' | 5 | kPa |
| Friction angle φ' | 30 | ° |
| Unit weight γ | 18 | kN/m³ |
| Width B | 2 | m |
| Length L | 3 | m |
| Founding depth Df | 1 | m |
| Footing type | Rectangular | |
| Water table | Deep | |
| Nγ | Vesic | |
| Factor of safety | 3 |
Worked example — results
| Result | Value | Unit |
|---|---|---|
| Nc / Nq / Nγ | 30.1 / 18.4 / 22.4 | |
| Shape sc / sq | 1.000 / 1.000 | |
| Depth dc / dq | 1.173 / 1.087 | |
| Ultimate qu | 736 | kPa |
| Allowable qa = qu/FS | 245 | kPa |
| Net allowable | 239 | kPa |
- ✓ Factor of safety ≥ 2.5
Method, formulas and assumptions
- Nq = e^(π tanφ) tan²(45 + φ/2); Nc = (Nq − 1) cot φ (5.14 for φ = 0)
- Nγ = 2(Nq + 1) tan φ (Vesic) or (Nq − 1) tan(1.4φ) (Meyerhof)
- Meyerhof shape: sc = 1 + 0.2Kp B/L; sq = sγ = 1 + 0.1Kp B/L (φ > 10°)
- Depth: dc = 1 + 0.2√Kp Df/B; dq = dγ = 1 + 0.1√Kp Df/B
- qu = c Nc sc dc + q Nq sq dq + ½ γ' B Nγ sγ dγ
- AS 2159 / AS 4678 apply limit-state geotechnical reduction factors; FS shown for preliminary sizing.
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For preliminary design and education. Check every result against the current standard and your own engineering judgement before use.