```html Seastead Leg Strength Analysis

Seastead Leg Strength Analysis

Lateral Load Capacity • Marine Aluminum • Wave Height Estimate

Design Summary

Leg Specifications: 19 ft tall NACA foil (10 ft chord × 3 ft max thickness), ½-inch marine aluminum skin, 50% submerged (9.5 ft draft). Legs act as vertical cantilevers fixed to the overhead triangular truss.

Waterline 19 ft leg ½" marine aluminum skin Fixed to triangular truss ← Sideways wave force → w (distributed)

Key Assumptions

Maximum Distributed Load
19,950
lb per foot

Total Lateral Force:
379,000 lbs (~190 tons)
Maximum Moment at Base
3.60
million ft-lbs
This is the bending moment at the truss connection when the leg reaches yield stress.
Section Properties (weak axis)
Moment of Inertia (I) 25,920 in⁴
Distance to extreme fiber (c) 18 in
Section Modulus (I/c) 1,440 in³

Final Strength Result

The leg can withstand approximately 379,000 lbs (190 tons) of total sideways force distributed evenly along its 19 ft length before the aluminum yields.

⚠️ This is the theoretical yield point. A proper engineering design would incorporate a safety factor of at least 2.0, reducing the allowable load to ~95 tons per leg.

Estimated Wave Height to Reach Yield

Rough Estimate

18–25+ foot waves

Breaking or near-breaking beam seas with wavelengths comparable to the 40 ft platform width could generate lateral forces approaching this magnitude.

Why such large waves?
  • Platform displacement per leg ≈ 12,000 lbs (6 tons)
  • 379,000 lbs lateral force ≈ 30× displacement per leg
  • Small waterplane area (SWATH-like) reduces coupling to small waves
  • Stabilizer wings and RIM thrusters provide additional damping
  • Most force comes from inertial loading and wave slamming, not steady drag
Important Caveat: Accurate wave force prediction requires computational fluid dynamics (CFD) or scale-model tank testing. The above is an engineering-order-of-magnitude estimate only. The seastead's triangular spacing (80 ft × 40 ft) and the damping from the three stabilizers will significantly reduce roll amplitude in real conditions.

Recommendations

  1. Finite Element Analysis (FEA) of the actual NACA foil shape with welds and internal bulkheads is essential.
  2. Consider internal stringers or bulkheads every 4–5 ft to prevent local buckling.
  3. The ½-inch skin is quite robust; local denting from debris is more likely than global bending failure.
  4. Add strain gauges on the first prototype at the top of each leg (highest stress area).
  5. The "small airplane" stabilizers should be designed to also act as passive roll dampers.
```