Seastead Scale Model Calculations

1. Model Foam Volume and Mixing

Mold description: Half of a 4-inch PVC pipe (inside span 3.75 inches) forms the leading edge. Two plywood pieces (3.5 ft × 16 in) are hinged to the edges, forming a triangular trailing section when closed.

Cross-section area calculation:

Volume: Length = 3.5 ft = 42 in → Volume = 35.316 in² × 42 in = 1483.26 in³ (0.8583 ft³).

Foam mixing (2-part, 2 lb/ft³ density):

Assumption: Typical yield is 2 ft³ of cured foam per gallon of mixed liquid.

2. Model Weight for Buoyancy

With 3 wing/legs each 50% submerged in seawater (density 64 lb/ft³):

Thus, the total model weight should be approximately 82.4 lbs to float with half of each leg submerged.

Froude Scaling (1:6 Model)

1. Full-Scale Dimensions

DimensionModelFull Scale (×6)
Length (span)3.5 ft21 ft
Chord17.765 in106.59 in (8.88 ft)
Thickness (max)1.875 in11.25 in (0.9375 ft)

2. Full-Scale Displaced Seawater Weight

Full-scale volume per leg: 0.8583 ft³ × 216 = 185.40 ft³

Half-submerged volume per leg: 92.70 ft³

For 3 legs: 3 × 92.70 = 278.10 ft³

Weight of displaced seawater: 278.10 ft³ × 64 lb/ft³ = 17,798 lbs.

3. Drag Force at Full Scale

Assumptions: Legs oriented vertically (span vertical, chord horizontal), flow along chord (low Cd direction). Submerged height = half of span = 10.5 ft. Frontal area per leg = submerged height × max thickness = 10.5 ft × 0.9375 ft = 9.844 ft². Drag coefficient (Cd) = 0.2 (based on frontal area for streamlined shape). Seawater density ρ = 1.99 slugs/ft³.

Speed (mph)Speed (ft/s)Drag per Leg (lbs)Total Drag (3 legs, lbs)
11.46674.2112.6
22.933316.850.5
34.400037.9113.6

4. Power Requirements

Assumptions: Overall efficiency (motor + propeller) = 50%. Power = Drag force × velocity.

Speed (mph)Shaft Power (W)Electrical Power (W)
125.150.2
2200.9401.8
3677.91355.8

Note: All calculations are based on the given mold dimensions and stated assumptions. Actual results may vary with specific foam expansion ratios, seawater density, drag coefficients, and system efficiencies.