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Seastead Scale Model Design and Testing

1:10.5 Scale Model Dimensions

Using Froude scaling rules, the dimensions of the 1:10.5 scale model are as follows:

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ComponentFull-Scale DimensionScale Model Dimension (inches)
Triangle Frame (side) 44.0 feet60.5 inches
Wall Height7.0 feet91.8 inches
Leg Length21.5 feet282.6 inches
Walkway Width3.0 feet40.5 inches
walkway Height4.0 feet54.0 inches
Structural Beams (side) 22.0 feet301.5 inches

1:10.5 Scale Model Weight

The total weight of the 1:10.5 scale model, assuming a scale factor of 1:10.5, is calculated as follows:

  • Full-scale displacement: >= 27,500 lbs (buoyancy)
  • Scale factor for volume: $(1/10.5)^3 = 1/1157.63$
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  • Model displacement: $27,500 / 1157.63 \approx 23.76$ lbs
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  • Total weight of the model (including parts and structural elements): ~25 lbs
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Wave Height Simulation

To simulate full-scale wave heights of 3 feet, 5 feet, and 8 feet, the scale height of the model waves should be scaled by the Froude number. Assuming a water depth of 1.5 times the leg length (32.25 feet for full-scale), the scale water depth for the model is approximately 3.07 inches> (1.5 feet in full scale).

Use apps like Phyphox> or Open creativity Physics> for measuring accelerometers, pitch, roll, and heave in your model.

Accelerations and Sliding Threshold

The Froude number relates acceleration in the model to full-scale acceleration as follows:

  • Full-scale acceleration for 3 ft waves: ~0.7 g
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  • Model acceleration for 3 ft waves: $0.7 / 10.5 \approx 0.067 g$
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In full scale, plates might start sliding at accelerations above 0.5-1.0 g. For the model scale (1:10.5), this corresponds to approximately 0.0034-0.0067 g> in the model.

Scaling Water and Visualization

To simulate deep water waves, use a water depth of at least 1.5 times the leg length (32.25 feet in full scale, or ~3 inches in the model). Add small objects (e.g., 1-inch dolls) to give a sense of scale.

Measurement Tools

Additional tools for measuring your model:

  • High-speed video camera (e.g., Phantom or GoPro) to record slow-motion footage
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  • Tri-pod for the main camera
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  • Accelerometer apps (e.g., Phyphox, Open creativity Physics) for real-time data
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  • Long wooden pole with marks to measure wave heights
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  • Glass setup with water and rocks to observe water movement
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