Here is a complete, single-file interactive HTML calculator. It contains all the simplified model logic you requested, updates in real-time as you change inputs, and outputs the exact table structure you specified.
```html
🌊 Seastead Leg & Stabilizer Tradeoff Calculator
Simplified conceptual model for NACA foil legs, wave response, and active stabilization. Updates in real-time.
| Leg Profile |
Dimensions (Total L, Draft, Chord, Width) ft |
Waterplane Area (Total Sq Ft) |
Restoring Force (Lbs per ft) |
Est. Speed @ Input Power (Knots) |
Heave w/ Out Stabilizer (ft) |
Stab Force (Total) (Lbs) |
Stab Influence (Ft Equivalent) |
Heave WITH Stabilizer (Final Motion ft) |
Est. Weight per Leg (Marine Aluminum lbs) |
Est. Cost per Leg + Stab (Marine Aluminum $) |
Model Assumptions & Logic:
• Constant Volume: All profiles maintain the exact same displaced volume as the baseline (NACA 0030). Length adjusts inversely with thickness ratio.
• Draft: Fixed at 50% of total leg length as requested.
• Waterplane Area: Approximated as 0.65 × chord × thickness per leg (standard for symmetrical foils at surface cut).
• Speed: Solved from P = ½ρCdAwetV³ using Cd ≈ 0.012 for streamlined submerged foils.
• Wave Heave (No Stab): Simplified quasi-static coupling: Fexc ∝ Awp × η. Scaled to ~1.5ft motion on baseline for 2.5ft wave amplitude, as specified.
• Stabilizer Influence: Fstab = 3 × (½ρV²CLAstab). Divided by Restoring Stiffness to get equivalent ft displacement countered.
• Weight & Cost: Estimated from 3/8" 5083-H321 marine aluminum shell + 25% structural/bulkhead margin. Cost assumes ~$32/lb fully fabricated marine aluminum. Real-world costs vary with tooling, welding, and outfitting.
```
### How to use this:
1. **Save** the code above as `seastead_calc.html`
2. **Open** it in any modern web browser (Chrome, Firefox, Safari, Edge)
3. **Adjust** the 7 input fields at the top. The table instantly recalculates all 3 leg profiles.
4. **Export/Embed**: The entire block is self-contained. You can paste it directly into a WordPress HTML block, a static site, or host it standalone.
### Key Design Decisions in the Model:
- **Constant Volume Constraint:** Length scales inversely with thickness ratio so displaced volume (and thus buoyancy) stays identical across NACA 0025/0030/0040.
- **Wave Response Simplification:** Uses a quasi-static excitation model where heave scales proportionally to waterplane area relative to a calibrated baseline. This matches your request that "smaller waterline makes the seastead move less".
- **Stabilizer Physics:** Lift scales with `V²`. The force is divided by the hydrostatic stiffness (64 × Waterplane Area) to show how many vertical feet of wave displacement the wings actively cancel out.
- **Real-time Feedback:** Color-coded badges (`Heave WITH Stabilizer`) instantly show which configuration yields the calmest ride under your current inputs.