Solid Mechanics
Helical Spring Shear Simulator
Analyze torsional shear stresses within helical springs. Control wire diameter, coil geometry, and axial load to visualize direct shear and curvature stress concentrations.
Spring Index (C)
10.00
D / d ratio
Wahl Factor (K)
1.145
Stress multiplier
Output
CSV
Export ready
Parameters
Geometry Presets
Animated Load Sweep
Helical Stress Equations
Spring Index
C = D / d
Wahl Factor
K = (4C-1)/(4C-4) + 0.615/C
Direct Torsional Stress
τ_base = 8 · F · D / (π · d³)
Corrected Max Stress
τ_max = K · τ_base
The Wahl correction factor accounts for direct transverse shear stress and curvature-induced stress concentration on the inner surface of the spring coils.
Maximum shear stress is currently 583.1 MPa, compared to 509.3 MPa of pure direct torsion.
Interactive Helical Helix Stress Concentration
Max Shear Stress
583.1MPa
Wahl multiplier
1.145
Uncorrected Stress
509.3MPa
Spring Index
10.00C
Max Stress vs Axial Load
Shear Analysis Data
| Axial Force F (N) | Uncorrected Stress (MPa) | Wahl-Corrected Stress (MPa) |
|---|---|---|
| 0 | 0.0 | 0.0 |
| 500 | 509.3 | 583.1 |
| 1000 | 1018.6 | 1166.1 |
| 1500 | 1527.9 | 1749.2 |
| 2000 | 2037.2 | 2332.2 |
| 2500 | 2546.5 | 2915.3 |
| 3000 | 3055.8 | 3498.3 |
| 3500 | 3565.1 | 4081.4 |
| 4000 | 4074.4 | 4664.5 |
| 4500 | 4583.7 | 5247.5 |
| 5000 | 5093.0 | 5830.6 |