Machine elements Design

Power Screw Torque & Efficiency Calculator — Lifting, Lowering and Self-Locking Validator

Calculate driving torque and efficiency using axial force, screw geometry, thread angle and friction coefficient.

Unit-aware inputs Deterministic calculation Engineering interpretation
Calculation workspace

Enter the known values and review the calculated result

Deterministic calculation
01
Parameters

Input parameters

Use consistent values and select the intended engineering units.

Operating mode

Screw geometry

Load

Thread type

Friction

02
Output

Results

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Engineering reference

Method, application and limitations

Review the calculation method, intended application and engineering assumptions before using the result in a design decision.

01
Method

Formula and calculation method

Calculate driving torque and efficiency using axial force, screw geometry, thread angle and friction coefficient.

02
Application

When to use this calculator

When to use this calculator:

  • Estimate driving torque required to raise an axial load with a sliding power screw.
  • Estimate back-driving torque during lowering mode.
  • Check whether the screw remains self-locking based on effective friction and lead angle.
  • Compare efficiency between lifting and lowering operation for the same screw geometry.
  • Evaluate how friction coefficient and thread half-angle change torque demand and efficiency.
03
Decision support

How to interpret the result

Driving torque is defined as the torque required at the screw to move the axial load in the selected operating mode.

Efficiency is defined as the percentage result calculated from lead angle and effective friction. Higher effective friction decreases efficiency, while a larger lead angle increases efficiency in lifting mode.

  • Safe — the screw is self-locking, or no non-self-locking warning condition is triggered.
  • Warning — the screw is not self-locking, meaning effective friction is not greater than the tangent of the lead angle.
  • Invalid — at least one input or calculation condition fails validation, such as invalid mode, invalid geometry, axial force not greater than zero, friction coefficient outside 0.02–0.4, or thread half-angle greater than 30 degrees.

The result is used to evaluate whether the selected screw geometry, load and friction model produce a feasible driving torque and whether the screw can resist back-driving through self-locking.

04
Worked case

Calculation example

Example:

A user wants to estimate the torque needed to raise a load with a power screw.

  • mode = lifting
  • d — Nominal diameter = 0.04 m
  • p — Pitch = 0.006 m
  • F — Axial force = 5000 N
  • α — Thread half-angle = 15 deg
  • μ — Friction coefficient = 0.12

The calculated driving torque is approximately 15.75 N·m and the efficiency is approximately 27.4%.

05
Model boundaries

Assumptions and limitations

  • The screw lead is equal to the pitch.
  • The mean diameter is calculated as nominal diameter minus half the pitch.
  • Effective friction is calculated from friction coefficient divided by the cosine of the thread half-angle.
  • Self-locking is determined only by the condition effective friction greater than tangent of lead angle.
  • Efficiency is limited to the range from 0 to 100%.
06
Questions

Frequently asked questions

How to calculate driving torque?
Driving torque is calculated from axial force, mean screw radius, lead angle and effective friction. In lifting mode, torque increases when axial force, nominal diameter, pitch-related lead angle or effective friction increases.
How to calculate efficiency?
Efficiency is calculated from lead angle and effective friction. In lifting mode, efficiency increases with lead angle and decreases when effective friction increases.
What affects driving torque the most?
Driving torque depends directly on axial force and mean screw radius. Higher axial load increases torque, and a larger mean diameter increases torque through the mean radius.
When is the driving torque formula not valid?
The formula is not valid when nominal diameter is not greater than zero, pitch is not greater than zero, pitch is equal to or larger than nominal diameter, pitch is larger than half the nominal diameter, pitch is smaller than 0.001, axial force is not greater than zero, friction coefficient is outside the allowed range from 0.02 to 0.4, thread half-angle is negative, or thread half-angle is greater than 30 degrees.
Can this calculator be used for lowering mode?
It can be used for lowering mode when the operating mode is set to lowering and all geometry, load, thread and friction inputs pass validation. In lowering mode, efficiency becomes zero when the screw is self-locking.
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