# Seastead Leg Battery Placement Analysis ```html Seastead Leg Battery Volume Analysis

How High Up the Legs Do the Batteries Need to Reach?

1. Leg geometry recap

2. Cross-sectional area of one leg

For a NACA 4-digit symmetric foil, area ≈ 0.685 × c × tmax (full foil with sharp TE).

Afoil ≈ 0.685 × 8.5 × 2.55 ≈ 14.85 ft² per horizontal slice through the leg.

(Truncating the last 0.5 ft of the trailing edge subtracts only a tiny triangular sliver — under 2% — so the working number is about 14.6 ft².)

3. Total displaced volume per leg (submerged half)

Vsubmerged ≈ 14.6 ft² × 6.5 ft ≈ 94.9 ft³ per leg.

Across 3 legs: ~285 ft³ of displacement.

4. How much weight is the seastead?

Seawater ≈ 64 lb/ft³. Total buoyant capacity from 3 legs half-submerged:

285 ft³ × 64 lb/ft³ ≈ 18,200 lbs total displacement.

If batteries are ~25% of displacement: battery weight ≈ 4,550 lbs total, or ~1,520 lbs per leg.

5. Volume needed for batteries

Good LiFePO4 packs (cell-level) reach ~90–100 Wh/kg and ~180 Wh/L. Translating to volumetric density of packed modules: roughly 55–65 lbs/ft³ for a realistic installed pack (including BMS, cases, busbars, mounting).

Using ~60 lbs/ft³:

Vbatt per leg ≈ 1,520 / 60 ≈ 25.3 ft³.

6. Usable cross-section as a function of height in the leg

For a NACA 0030, the thickness distribution along the chord peaks at ~30% chord. The chord is horizontal (8.5 ft long), and we're stacking batteries vertically. The cross-sectional area is constant up the leg — what changes with height is just whether that level is underwater or not.

What matters for "how high do batteries reach" is: starting from the bottom of the leg and filling upward, how many feet of leg do we need to fit 25.3 ft³?

But not the whole 14.6 ft² cross-section is usable for batteries. We need to subtract:

ItemArea used (ft²)
Gross foil cross-section14.6
− Sealed thin trailing-edge compartment (~32%)−4.7
− Sealed thin leading-edge tip (~3%)−0.4
− Human access chase−1.5
− Structure, wiring, BMS (~10% of remainder)−0.8
Net usable for batteries~7.2 ft²

7. Height of battery stack

Height needed = 25.3 ft³ / 7.2 ft² ≈ 3.5 ft of stack height per leg.

Result: Batteries only need to fill roughly the bottom 3.5 ft of each 13-ft tall leg. That keeps the center of gravity very low — well below the waterline (which sits at 6.5 ft up from the bottom). Excellent for stability.

8. Suggested compartment layout per leg (bottom → top)

Height from bottomCompartmentPurpose
0 – 0.5 ftSump / bilgeCatches any leak; sensor + small pump; sealed below batteries
0.5 – 4.0 ftBattery bay (sealed, dry)Holds ~25 ft³ of LiFePO4; access via overhead hatch
4.0 – 6.5 ftLower service bay (sealed)Charge controller, inverter, BMS master. Underwater region — fully sealed bulkhead above.
6.5 ft (waterline)Waterline bulkheadFully watertight floor with bolted/gasketed hatch. Critical safety boundary.
6.5 – 10 ftUpper access shaftDry, ladder for human entry from the living area above. Cable conduit pass-through.
10 – 13 ftTop junction to triangle frameStructural attachment, top hatch into living area floor.
Entire chord lengthSealed thin-TE compartmentRuns full leg height. Unused dead air = buoyancy reserve if other compartments flood.

9. Multi-chamber safety check

If any single compartment floods:

Recommendation: add at least one horizontal watertight bulkhead inside the battery bay (split it into two ~1.75 ft tall sub-bays), each with its own hatch. That way a single-point hull breach near the bottom only floods half the battery bay (~800 lbs of water), and you keep three-out-of-three legs functional.

10. Does the plan work?

Yes — comfortably.

11. Numbers at a glance

QuantityValue
Foil cross-section (gross)14.6 ft²
Submerged volume per leg94.9 ft³
Total displacement (3 legs)~18,200 lbs
Battery weight (25% of disp.)~4,550 lbs total / ~1,520 lbs per leg
Battery volume per leg @ 60 lb/ft³~25 ft³
Usable cross-section for batteries~7.2 ft²
Battery stack height per leg~3.5 ft
Waterline height in leg6.5 ft
Vertical margin between batteries and waterline~3 ft
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