Foundations · Pile testing & NDT
Pile driving formulas (Hiley / Gates) calculator
Ultimate resistance from hammer energy and set; check against required capacity.
Standard: Hiley · FHWA modified Gates · AS 2159 dynamic formula φg
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 |
|---|---|---|
| Ram weight W | 50 | kN |
| Drop height h | 1.2 | m |
| Hammer efficiency η | 0.8 | |
| Pile + helmet weight P | 45 | kN |
| Coefficient of restitution | 0.4 | |
| Final set per blow | 4 | mm |
| Temporary compression c (pile+cap+soil) | 18 | mm |
| φg for dynamic formula (AS 2159; your risk assessment) | 0.45 | |
| Required design load R* | 1200 | kN |
Worked example — results
| Result | Value | Unit |
|---|---|---|
| Hammer energy η·W·h | 48.0 | kN·m |
| Hiley efficiency of blow | 0.602 | |
| Hiley Ru | 2,223 | kN |
| Blows per 25 mm | 6.3 | |
| Modified Gates Ru | 2,204 | kN |
| φg·Ru (lower of two) | 992 | kN |
- ✗ φg·Ru ≥ R*
- ✓ Set ≥ 2 mm (avoid hard driving damage)
Method, formulas and assumptions
- Hiley: Ru = η·W·h·[(W + e²P)/(W + P)] / (s + c/2)
- Gates (FHWA, SI): Ru = 7√(E [J]) · log10(10·Nb) − 550, Nb = blows per 25 mm
- Dynamic formulae are approximate: confirm with PDA/CAPWAP or static load tests
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For preliminary design and education. Check every result against the current standard and your own engineering judgement before use.