Solid Mechanics
Torsion Simulator
Real-time shear stress distribution and angle of twist simulation for solid and hollow circular shafts under pure torsion, with animated torque sweep and exportable radial data.
Model
Circular shaft
Hollow / solid
Mesh
51 pts
Radial sweep
Output
CSV
Export ready
Parameters
Material preset
Animated torque sweep
Governing Equations
Max Shear Stress
τ = T × r / J
Polar Moment of Inertia
J = π/32 × (Do⁴ − Di⁴)
Angle of Twist
θ = T × L / (J × G)
Torsional Stiffness
kT = G × J / L
Peak shear stress of 40.7 MPa occurs at the outer surface.
Total twist angle is 2.355° over 2.0 m.
Shaft Twist Diagram
Max Shear Stress
40.7MPa
Angle of Twist
2.355°
Polar Moment J
61.36cm⁴
Torsional Stiffness
24.3kN·m/rad
Stress Distribution
Radial Stress Data
| Radius (mm) | Shear Stress (MPa) | r / r₀ |
|---|---|---|
| 0.0 | 0.00 | 0.000 |
| 1.5 | 2.44 | 0.060 |
| 3.0 | 4.89 | 0.120 |
| 4.5 | 7.33 | 0.180 |
| 6.0 | 9.78 | 0.240 |
| 7.5 | 12.22 | 0.300 |
| 9.0 | 14.67 | 0.360 |
| 10.5 | 17.11 | 0.420 |
| 12.0 | 19.56 | 0.480 |
| 13.5 | 22.00 | 0.540 |
| 15.0 | 24.45 | 0.600 |
| 16.5 | 26.89 | 0.660 |
| 18.0 | 29.34 | 0.720 |
| 19.5 | 31.78 | 0.780 |
| 21.0 | 34.22 | 0.840 |
| 22.5 | 36.67 | 0.900 |
| 24.0 | 39.11 | 0.960 |