Input Form
Example Data Table
| Case | Section | Fy (MPa) | h (m) | SF | Mass (kg) | Speed (m/s) | Stop (m) | Allowable (kN) | Demand (kN) | Ratio |
|---|---|---|---|---|---|---|---|---|---|---|
| Sample A | Pipe Do 168.3, t 6.4 | 350 | 1.0 | 1.5 | 1500 | 5.0 | 0.5 | ~10.7 | ~37.5 | ~3.5 |
| Sample B | Solid D 140 | 350 | 1.0 | 1.5 | 1500 | 3.0 | 0.7 | ~32.2 | ~9.6 | ~0.3 |
Example outputs are illustrative. Your calculated values depend on exact inputs.
Formula Used
- Second moment of area (round): I = π/64 · (D^4)
- Second moment of area (pipe): I = π/64 · (Do^4 − Di^4)
- Section modulus: Z = I / (D/2)
- Yield moment (simplified): My = Fy · Z
- Top lateral force at yield: Fyield = My / h
- Allowable lateral force: Fallow = Fyield / SF
- Kinetic energy: KE = 0.5 · m · v^2
- Average stopping force: Fdemand ≈ KE / s
- Tip deflection (cantilever): δ = F · h^3 / (3EI)
- Utilization ratio: UR = Fdemand / Fallow
This tool provides a simplified cantilever estimate. Real bollard performance depends on embedment, concrete, connection detailing, dynamic effects, and code criteria.
How to Use This Calculator
- Select a section type and enter its dimensions.
- Enter steel yield strength, height above grade, and a safety factor.
- Enter vehicle mass, speed, and stopping distance for the scenario.
- Press Calculate to view capacity, demand, and utilization.
- Download CSV or PDF for your records after calculation.
If utilization exceeds 1.0, consider larger sections, reduced speeds, or increased stopping distance, then re-check.