Buckling limit of S-shaped beams (wire springs)
Longitudinal and lateral stiffness, bending stress and buckling load for an S-shaped (reinforced mid-section) wire spring/beam, for two beam-type configurations.
Cross section, A0.31 10⁻³ m²
Second moment of area, I = π/64(D⁴−d⁴)7.85 10⁻⁹ m⁴
Longitudinal stiffness, S_x0.13 10⁹ N/m
Lateral stiffness, S_z0.16 10⁶ N/m
Bending stress, S0 10⁶ Pa
Buckling load, F260.45 10³ N
Method & references
- Longitudinal stiffness, lateral stiffness and buckling load of S-shaped (reinforced mid-section) beams/wire springs, evaluated at z=0 unless otherwise stated.
The computation is a literal port of the original client-side JavaScript from /calculators/S_beam.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.