Analysis of the 1/6th scale model and projections to full scale using Froude scaling rules. Assumption: Saltwater density is used (64 lbs/ft³).
According to Froude scaling laws, lengths scale linearly with the scale factor ($\lambda$), areas scale with $\lambda^2$, and volumes/mass scale with $\lambda^3$.
| Dimension | Scale Model | Full Scale | Conversion |
|---|---|---|---|
| Platform Side Length | 10.0 ft | 60.0 ft | $10 \times 6$ |
| Leg Diameter | 0.417 ft (5 in) | 2.5 ft (30 in) | $0.417 \times 6$ |
| Leg Length | 6.0 ft | 36.0 ft | $6 \times 6$ |
| Submerged Length (60%) | 3.6 ft | 21.6 ft | Linear Scale |
Volume of Cylinder: $V = \pi \times r^2 \times h$
Model Submerged Volume:
$r = 0.208$ ft, $h = 3.6$ ft
$V_{leg} \approx 0.491 \text{ ft}^3$
$V_{total} = 3 \times V_{leg} \approx 1.473 \text{ ft}^3$
Froude scaling for mass/weight is the cube of the scale factor ($\lambda^3$).
$Weight_{Full} = Weight_{Model} \times 6^3$
$Weight_{Full} = Weight_{Model} \times 216$
Mass of water displaced (Saltwater @ 64 lbs/ft³)
This is the total target weight the model must be to float correctly.
Mass of water displaced (Saltwater @ 64 lbs/ft³)
Total structural weight required for the full-size seastead (approx 9.2 metric tons).
| Property | Model Value | Full Scale Value |
|---|---|---|
| Submerged Volume (Total) | 1.473 ft³ | 318.10 ft³ |
| Mass of Water Displaced | 94.2 lbs | 20,356.4 lbs |
| Target Weight (Structure) | ~94 lbs | ~9.2 Tons |
*Note: Calculations assume the triangle platform is entirely above water and does not contribute to buoyancy. "Target Weight" includes the structure plus any live load (people/equipment) to achieve the 60% draft.*