Ball Screw Travel & Torque
Compute linear travel s from lead L and revolutions n, and the required drive torque T from axial load F and efficiency η.
Inputs
Formula
Fundamentals
Compute linear travel s from lead L and revolutions n, and the required drive torque T from axial load F and efficiency η.
This tool computes Ball Screw Travel & Torque from the formula: s = L·n; T = F·L/(2π·η)
History
Design theory of gears, threads and bearings matured with machine tools and standardisation (AGMA, ISO) since the Industrial Revolution.
Engineering applications
Used for transmission design, joint strength checks and component selection.
Glossary
| Lead L | Input parameter |
| Revolutions n | Input parameter |
| Axial load F | Input parameter |
| Linear travel s | Output result |
| Drive torque T | Output result |
How to use
- Fill in Lead L, Revolutions n, Axial load F, Efficiency η in the Inputs section (watch the unit on each field).
- Click Calculate; the tool evaluates the formula shown above.
- Read Linear travel s, Drive torque T in the results area.
Formula · Worked Example · Knowledge
Formula
核心计算关系：s = L·n; T = F·L/(2π·η)
输入变量：
- Lead L
L— mm - Revolutions n
n - Axial load F
F— N - Efficiency η
eta
输出结果：
- Linear travel s
s— mm - Drive torque T
T— N·mm
假设/适用：Gearing/thread formulas assume standard, zero-backlash mounting; include error & load factors K_A.
Worked Example
根据公式 s = L·n; T = F·L/(2π·η)，取 Lead L = 5 mm；Revolutions n = 20；Axial load F = 2,000 N；Efficiency η = 0.9。
代入计算得：Linear travel s = 100 mm；Drive torque T = 1,768 N·mm。
Key Points
- Gearing/thread formulas assume standard, zero-backlash mounting; include error & load factors K_A.
- Compare stress with allowable stress and keep a safety factor (≥1.5, ≥2 for critical parts).
- For high speed/load also check lubrication, heat and fatigue life, not just static strength.
Parameters
Inputs
| Parameter | Symbol | Unit | Default |
|---|---|---|---|
| Lead L (mm) | L | mm | 5 |
| Revolutions n | n | 20 | |
| Axial load F (N) | F | N | 2000 |
| Efficiency η | eta | 0.9 |
Outputs
| Result | Symbol | Unit |
|---|---|---|
| Linear travel s | s | mm |
| Drive torque T | T | N·mm |
Applications
- Common engineering use cases