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Lead Screw Drive Torque & Efficiency Calculator

Power screws and lead screws translate rotational motor torque into linear thrust in jacks, CNC machine axes, and motorized actuators.

Major outside diameter of power screw (e.g. 24 mm for Tr 24x5).

Axial distance between adjacent thread crests.

Thread starts: 1 for single-start (Lead = Pitch), 2 for double-start (Lead = 2 × Pitch).

Linear force being raised or pushed by the screw mechanism.

Friction coefficient between screw and nut (typically 0.10 - 0.20 for steel on bronze).

Friction coefficient of thrust bearing or collar (0.00 for rolling element thrust bearing).

Effective friction diameter of thrust collar.

Calculated Result
12.91 N·m

Torque to Raise Load (T_raise)

Torque to Lower Load

7.21 N·m

Lead Angle (λ)

4.23°

Drive Efficiency (η)

21.6%

Self-Locking Status

Self-Locking

Calculation Breakdown

  1. Helix Lead Angle (λ)λ = atan(5 / [π · 21.5]) = 4.23°
  2. Lifting and Lowering TorquesT_raise = 12.91 N·m; T_lower = 7.21 N·m
  3. Drive Mechanical Efficiency & Self-LockingEfficiency = 21.6%; Self-locking: YES (Load will not backdrive)

Power Screw Torque and Efficiency

Interactive visualization based on your current inputs

Value
0.05.2101621Lifting Torque (N·m)Lowering Torque (N·m)Efficiency (%)Lead Angle (°)ParameterValue

What Is the Lead Screw Drive Torque & Efficiency Calculator?

Power screws and lead screws translate rotational motor torque into linear thrust in jacks, CNC machine axes, and motorized actuators.

Frictional resistance between thread flanks and thrust collar generates resistive torque while determining whether the screw is self-locking against backdriving.

This calculator solves classical power screw mechanics for lifting and lowering loads, evaluating drive efficiency and self-locking criteria.

How Does the Lead Screw Drive Torque & Efficiency Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Lead Screw Drive Torque & Efficiency Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

T_R = \frac{F d_m}{2} \left[\frac{\tan\lambda + \mu \sec\alpha}{1 - \mu \tan\lambda \sec\alpha}\right] + \frac{F \mu_c d_c}{2}, \quad \eta = \frac{F L}{2\pi T_R}

TR is torque to raise load, dm is mean diameter, lambda is lead angle, alpha is thread half-angle, and eta is mechanical power efficiency.

How to Use the Lead Screw Drive Torque & Efficiency Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

Machine Tool Tr 24x5 Screw Jack

Input Values:

nominalScrewDiameterMm:24
pitchMm:5
numberOfStarts:1
axialLoadN:3500
threadFrictionCoeff:0.15
collarFrictionCoeff:0.08
collarMeanDiameterMm:30
Worked Steps: Computes lifting torque TR = 13.3 N·m, efficiency η = 20.9%, and confirms self-locking.

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Derived from Shigley’s Mechanical Engineering Design power screw equations.
  • Flank angle alpha = 14.5° for standard Acme threads and 15° for ISO trapezoidal threads.
  • A screw is self-locking if lowering torque is positive (μ · sec(α) > tan(λ)).

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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