Solid Mechanics
Tube Torsion Simulator
Determine shear stress distribution and angle of twist in a circular hollow shaft under applied torque, with animated cross-section, live torque sweep, and exportable data.
Model
Hollow shaft
Circular cross-section
Samples
40 pts
Torque sweep
Output
CSV
Export ready
Parameters
Material preset
Torque sweep animation
Torsion Equations
Shear Stress
τ = (T × r) / J
Angle of Twist
θ = (T × L) / (J × G)
Polar Moment
J = (π/2)(R_o⁴ − R_i⁴)
Max shear stress: 12.94 MPa at the outer surface.
Twist angle: 0.375° over 2 m length.
Cross-Section Twist
Max Shear Stress
12.94MPa
Twist Angle
0.375°
Polar Moment J
5.7962×10⁻⁶ m⁴
Wall Thickness
10.0mm
Stress & Twist vs Torque
Torque Sweep Data
| Torque (N·m) | Max Shear Stress (MPa) | Twist Angle (°) |
|---|---|---|
| 100 | 0.86 | 0.025 |
| 600 | 5.18 | 0.150 |
| 1100 | 9.49 | 0.275 |
| 1600 | 13.80 | 0.400 |
| 2100 | 18.12 | 0.526 |
| 2600 | 22.43 | 0.651 |
| 3100 | 26.74 | 0.776 |
| 3600 | 31.05 | 0.901 |
| 4100 | 35.37 | 1.026 |
| 4600 | 39.68 | 1.151 |
| 5100 | 43.99 | 1.276 |
| 5600 | 48.31 | 1.401 |
| 6100 | 52.62 | 1.527 |
| 6600 | 56.93 | 1.652 |
| 7100 | 61.25 | 1.777 |
| 7600 | 65.56 | 1.902 |
| 8100 | 69.87 | 2.027 |
| 8600 | 74.19 | 2.152 |
| 9100 | 78.50 | 2.277 |
| 9600 | 82.81 | 2.402 |