Tensegrity Principles

Tensegrity (tensional integrity) is a structural principle where compression elements (struts) are isolated and held in place by a continuous network of tension elements (cables). The Dymaxion House exemplifies this principle with its central mast and radiating tension cables.

Interactive Tensegrity Model

Explore different structures and adjust parameters to see real-time stress analysis

Stress Levels

Safe (0-60%)
Warning (60-80%)
Critical (>80%)

Controls

• Left Click + Drag - Rotate view

• Right Click + Drag - Pan camera

• Scroll Wheel - Zoom in/out

• Click Node/Strut - Select & edit

• Drag Node - Reposition when selected

Total Nodes:6
Active Struts:12
Avg Stress:34%
High Stress:0
Critical:0

陽Compression (Yang)

  • • Discontinuous: Isolated struts do not touch
  • • Particle-like: Discrete compression elements
  • • Convex: Outward-pushing forces
  • • Islands: Compression members "float" in tension sea
  • • Example: Central aluminum mast (Dymaxion House)

陰Tension (Yin)

  • • Continuous: Unbroken network throughout
  • • Wave-like: Distributed tension field
  • • Concave: Inward-pulling forces
  • • Sea: Continuous medium holding compression
  • • Example: 16 radiating cables (Dymaxion House)

Structural Benefits

Maximum Efficiency

Minimum material for maximum strength - cables only resist tension, struts only resist compression

Self-Stabilizing

Pre-stressed system maintains equilibrium without external support

Lightweight Design

Dymaxion House: 2,700kg total weight for 11m diameter structure

Material Properties

Density: 2700 kg/m³
Young's Modulus: 69 GPa
Yield Strength: 95 MPa

Environmental Load Conditions

0 m/s
Lateral force from wind
0.00g
Ground acceleration
0.0 kPa
Vertical distributed load

Advanced Controls

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Force Equilibrium

Σ Ftension + Σ Fcompression = 0

For the Dymaxion House:

• Central mast: Vertical compression = -Fc

• 16 cables: Radial tension = 16 × Ft

• Equilibrium: Fc = 16 × Ft × sin(θ)

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