Mechanical Engineering
Lead Screw Simulator
Analyze power transmission in lead screws. Calculate necessary raising/lowering torque, compute power efficiency, determine self-locking limits, and explore thread parameters.
Preset
Steel/Steel (Lubed)
Thread interface
Starts
Single
Thread starts
Locking
Self-locking
Lowering behavior
Parameters
Friction Interface Preset
Animated load sweep
Analytical Lead Screw Model
Lead (L)
L = p * n
Helix Angle (λ)
λ = atan(L / (π * d))
Friction Angle (φ)
φ = atan(μ)
Torque to Raise
T_raise = (F * d / 2) * tan(λ + φ)
Torque to Lower
T_lower = (F * d / 2) * tan(φ - λ)
Efficiency (η)
η = tan(λ) / tan(λ + φ)
Lead angle λ = 3.64° vs friction angle φ = 8.53°.
The lead screw is self-locking: the friction angle exceeds the lead angle (φ > λ). The screw will not backdrive under load.
Linked Rod & Wedge Assembly
Torque to Raise
4.31N·m
Efficiency
29.5%
Torque to Lower
1.71N·m
Helix Angle (λ)
3.64°
Torque Profiles over Load Range
Load Sweep Data
| Axial Load (N) | T_Raise (N·m) | T_Lower (N·m) | Efficiency (%) |
|---|---|---|---|
| 100 | 0.22 | 0.09 | 29.5 |
| 1090 | 2.35 | 0.93 | 29.5 |
| 2080 | 4.49 | 1.78 | 29.5 |
| 3070 | 6.62 | 2.63 | 29.5 |
| 4060 | 8.76 | 3.47 | 29.5 |
| 5050 | 10.89 | 4.32 | 29.5 |
| 6040 | 13.03 | 5.17 | 29.5 |
| 7030 | 15.17 | 6.01 | 29.5 |
| 8020 | 17.30 | 6.86 | 29.5 |
| 9010 | 19.44 | 7.71 | 29.5 |
| 10000 | 21.57 | 8.55 | 29.5 |