Foundations · Pile capacity
Micropile (grout–ground bond + structure) calculator
Bond length capacity and the structural capacity of grout plus bar (ASD 0.4f′c, 0.47fy).
Standard: FHWA NHI-05-039 (ASD form)
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 |
|---|---|---|
| Bond zone diameter | 200 | mm |
| Bond length | 8 | m |
| Ultimate bond αbond | 200 | kPa |
| FS bond | 2 | |
| Grout f′c | 35 | MPa |
| Bar diameter | 40 | mm |
| Bar fy | 500 | MPa |
| Working load | 450 | kN |
Worked example — results
| Result | Value | Unit |
|---|---|---|
| Allowable bond π D L α/FS | 502.7 | kN |
| Bar area | 1,257 | mm² |
| Allowable structural 0.4f′c Ag + 0.47fy Ab | 717.5 | kN |
- ✓ Bond
- ✓ Structure
Method, formulas and assumptions
- Allowable bond π D L α/FS = PI()*200/1000*8*200/2 = 502.65 kN
- Bar area = PI()*40^2/4 = 1256.6 mm²
- Allowable structural 0.4f′c Ag + 0.47fy Ab = (0.4*35*(PI()*200^2/4-1256.6)+0.47*500*1256.6)/1000 = 717.54 kN
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For preliminary design and education. Check every result against the current standard and your own engineering judgement before use.