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Doubly-Curved Wing Shell · Cantilever Roof · 3.8k DOFCivil & BridgesMITC4 Shells & Beams

Eero Saarinen TWA Flight Center Shell Roof

4-lobed doubly-curved cantilevered reinforced concrete wing shell roof (72 × 52 m, t = 140 mm) supported on 4 sculpted Y-shaped piers with groin edge ribs.

Eero Saarinen's landmark TWA Flight Center at JFK Airport embodies expressionist structural engineering, featuring four sweeping concrete shells that form a dynamic bird-in-flight silhouette. The roof structure spans 72 m by 52 m, tapering from 1.0 m at the central skylight spine down to just 140 mm across the outer cantilevering wings, resting entirely on four massive sculptured Y-piers. WebCAE evaluates long-term dead load cantilever deflections, thermal and wind effects on the dramatic overhangs, vibration modes, and shell buckling safety.

✓ Thin Concrete Doubly-Curved Shell Wings✓ Monolithic Groin Arches & Edge Beams✓ Sculpted Y-Pier Boundary Restraints✓ Long-Span Cantilever Wingtip Deflections
Pre-solved .caeweb container ready
72×52 m · 256 beams · 576 quads · |u| = 518.9 mm · f₁ = 0.85 Hz · λ₁ = 11.8
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Eero Saarinen TWA Flight Center Shell Roof
72×52 m · 256 beams · 576 quads · |u| = 518.9 mm · f₁ = 0.85 Hz · λ₁ = 11.8Launch 3D ↗
Roof Dimensions
72.0 × 52.0 m · Height 14.0 m
Shell Thickness
t = 140 mm (wings) to 350 mm (spine)
Support Piers
4 sculpted reinforced concrete Y-piers
Finite Elements
256 beams · 576 MITC4 quads
Degrees of Freedom
3,774 DOF
Wingtip Deflection
|u| = 518.9 mm (extreme cantilever)
Fundamental Frequency
f₁ = 0.85 Hz (wing flapping)
Buckling Margin
λ₁ = 11.8

1. Geometry & FEA Mesh

  • •Geometry: 4 distinct doubly-curved shell lobes (two front main wings spanning 72 m, front visor beak, and rear entrance shell) covering 72 × 52 m with 14 m roof rise.
  • •Shell discretization: 576 MITC4 shell quad elements (thickness t = 140 mm to 350 mm) following parabolic double curvature.
  • •Ribs & piers: 256 frame beam elements defining the 4 sculptural inclined Y-piers, perimeter edge stiffening beams, and central skylight spine arches.
  • •System size: 633 nodes, 256 beam elements, 576 shell quads, 3,774 total DOFs with complete continuity between shell edges and arch ribs.

2. Loads & Boundary Conditions

  • •Fixed boundary restraints (all 6 DOFs) at the 4 foundation footings of the sculpted Y-piers (z = 0).
  • •Self-weight of reinforced concrete (E = 30 GPa, ν = 0.20, ρ = 2,400 kg/m³) with load multiplier 1.0.
  • •Snow and wind suction loads applied as uniform vertical pressure (-1.5 kPa) across the cantilevered wing lobes.

3. Simulation Results & Findings

  • ✓Maximum vertical cantilever wingtip displacement |u| = 518.9 mm located at the extreme tip of the port and starboard wings.
  • ✓Fundamental natural frequency f₁ = 0.85 Hz corresponds to symmetric flapping of the long-span cantilever wing shells.
  • ✓Linear elastic buckling factor λ₁ = 11.8 confirms adequate safety against localized wing skin buckling under full combined gravity load.
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WebCAE gives architects and structural designers immediate insight into large-cantilever shell structures, predicting wingtip deflections, rib bending moments, and dynamic flutter frequencies directly in the browser.

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