Symmetry strength
Stiffness and spoke-tension engine ported from Matt Ford's bike-wheel-calc (Mode Matrix method, Ford 2018) and verified against it to floating-point precision. Strength figures are first-spoke-slack loads from Ford's discrete-spoke model, checked against his code the same way.
Rim lateral bending stiffness — resists the rim bowing sideways. Typical alloy double-wall rims: 40–80 N·m².
Rim in-plane bending stiffness — how the rim spreads load around its hoop. Usually 3–10× EI_lat (100–300 N·m²).
Rim torsional stiffness. Because the rim is curved, bending and twist are coupled, so GJ shapes lateral flexibility more than EI_lat does. Typical: 15–35 N·m².
Rim hoop (axial) stiffness, used for the rim's in-plane response and the tension-softening terms. Typical alloy: 8–15 MN.
Fourier modes in the Mode Matrix sum. Harmonics used to approximate the rim's deformed shape. Accuracy converges by N~16–24; higher settings add no meaningful precision.
Drag the wheel sideways to orbit it
| Build | T_c avg (kgf) | T_c as DS (kgf) | Used |
|---|---|---|---|
| 148 | — | — | — |
| 157 | — | — | — |
Method. Tension balance, lateral stiffness K_lat, radial stiffness K_rad, and buckling tension T_c are computed with a JavaScript port of Matt Ford's open-source bike-wheel-calc library (Mode Matrix method; Ford 2018, A Theoretical Analysis of the Bicycle Wheel, Northwestern University). Stiffness uses smeared spokes, N Fourier modes and tension softening; buckling tension uses the library's discrete-spoke Mode Matrix. The port matches the library to floating-point precision across the full hub catalogue. Strength figures (F_lat, F_rad) are the point loads at which the first spoke goes slack, computed with the library's own Mode Matrix using individual (discrete) spokes with lateral and radial deflection coupled, and checked against it to floating-point precision. They mark the onset of lost preload, not wheel collapse; rim buckling (taco) is not modelled. Spoke geometry uses the rim beam-centroid radius (ERD/2 + 11 mm) per Ford §3.2; 3-cross lacing; steel spokes, E = 210 GPa. Hub flange dimensions compiled from manufacturer documentation. This project could not have been possible without the work of Mechanical Engineer Matt Ford.