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Clutch & Brake Calculator

Torque capacity and power for disc, drum, and cone clutch/brake assemblies. Uniform pressure and uniform wear assumptions.

Reviewed by Christopher FloiedPublished Updated

This free online clutch & brake calculator provides instant results with no signup required. All calculations run directly in your browser — your data is never sent to a server. Supports both metric (SI) and imperial units with built-in unit selection dropdowns on every input field, so you can work in whatever units your problem provides. Designed for engineering students and professionals working through coursework, design projects, or quick reference calculations.

Clutch & Brake Calculator

Torque capacity and power for disc, drum, and cone clutch/brake assemblies.

Results

Mean Radius r_mean
75.0 mm
Torque Capacity T
108.9 N·m
Power at Speed
17.10 kW
T (uniform wear)
105.0 N·m
Formula used (disc): Uniform pressure (2/3 μ F n (Ro³−Ri³)/(Ro²−Ri²)) | Uniform wear assumption: T = μ F n (Ro+Ri)/2

Transmitted Power vs Shaft Speed

Tip: hover to read values, click to pin a point for export

How to Use This Calculator

1

Enter your input values

Fill in all required input fields for the Clutch & Brake Calculator. Most fields include unit selectors so you can work in your preferred unit system — metric or imperial, whichever matches your problem.

2

Review your inputs

Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.

3

Read the results

The Clutch & Brake Calculator instantly computes the output and displays results with units clearly labeled. All calculations happen in your browser — no loading time and no data sent to a server.

4

Explore parameter sensitivity

Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.

Formula Reference

Clutch & Brake Calculator Formula

See calculator inputs for the governing equation

Variables: All variables and their units are labeled in the calculator interface above. Input fields accept values in multiple unit systems — select your preferred unit from the dropdown next to each field.

When to Use This Calculator

  • Use the Clutch & Brake Calculator when solving homework or exam problems that require quick numerical verification of your hand calculations — instant feedback helps identify arithmetic errors before they propagate.
  • Use it during the early design phase to rapidly iterate on parameters and narrow down feasible configurations before committing time to detailed finite element simulations or full design packages.
  • Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility — a quick sanity check can prevent costly downstream errors.
  • Use it to generate reference data for a technical report or presentation without manual computation, ensuring consistent, reproducible numbers throughout the document.
  • Use it in the field when a quick estimate is needed and a full engineering software package is not available.

About This Calculator

The Clutch & Brake Calculator is a precision engineering calculation tool designed for students, engineers, and technical professionals. Torque capacity and power for disc, drum, and cone clutch/brake assemblies. Uniform pressure and uniform wear assumptions. All calculations are performed using established engineering formulas from the relevant scientific literature and standards. Inputs support both metric (SI) and imperial unit systems, with unit conversion handled automatically — simply select your preferred unit from the dropdown next to each field. Results are computed instantly in the browser without sending data to a server, ensuring both speed and privacy. This calculator is intended as a supplementary tool for learning and design exploration; always verify results against authoritative references for safety-critical applications.

The Theory Behind It

Clutches transmit torque between rotating shafts through friction, magnetic coupling, or mechanical engagement, allowing selective power transmission. Brakes dissipate kinetic energy to stop or slow rotating machinery. Both use similar design principles based on friction force acting over an effective radius. For a plate clutch or disc brake: torque capacity T = n · μ · F · r_m, where n is the number of friction surfaces (1 for simple disc, 2 for double disc), μ is friction coefficient, F is axial clamping force, and r_m is the mean friction radius ≈ (r_outer + r_inner)/2. For a cone clutch, the formula includes a factor 1/sin(α) where α is the cone half-angle, multiplying the torque capacity for the same axial force. For a drum brake (band or shoe), the torque depends on the contact angle, friction coefficient, and applied force through exponential capstan equation relationships. Key design considerations include: (1) thermal capacity — heat generated during engagement must be dissipated without damaging friction material; (2) wear life — friction material wears and must be replaced periodically; (3) pressure distribution — uniform or variable depending on design assumptions. Typical friction coefficients: dry clutch 0.3-0.4, oil-cooled 0.08-0.1, brake linings 0.3-0.5.

Real-World Applications

  • Automotive manual transmissions: friction clutch discs transmit engine torque to the gearbox, with the driver controlling engagement through the clutch pedal.
  • Automatic transmission clutches: multiple clutch packs engage different gear ratios in hydraulic automatic transmissions.
  • Industrial machinery clutches: couplings that engage and disengage power transmission in machine tools, conveyors, and production equipment.
  • Vehicle braking systems: disc and drum brakes stop vehicles by converting kinetic energy to heat through friction.
  • Industrial braking: elevator brakes, crane brakes, and machine safety brakes use friction to stop loads and prevent uncontrolled motion.

Frequently Asked Questions

What's the formula for clutch torque capacity?

T = n · μ · F · r_m, where n is the number of friction surfaces, μ is friction coefficient, F is axial clamping force, and r_m is the mean friction radius. For a simple disc clutch with one friction surface: T = μ · F · r_m. For a double disc: T = 2 · μ · F · r_m. Higher torque capacity requires higher friction coefficient, higher clamping force, larger mean radius, or multiple discs.

How much heat does a clutch generate?

Heat generated during engagement equals the kinetic energy difference between input and output sides: Q = ½·I·(ω_in² − ω_out²), where I is the effective moment of inertia and ω is angular velocity. For a car starting from rest, substantial heat is generated in the clutch. Normal vehicle operation dissipates this through the clutch material and housing; aggressive driving or towing can overheat clutches.

What's a typical friction coefficient for brake linings?

0.3-0.5 for modern friction materials. Organic linings (phenolic-based, sometimes with metal or Kevlar reinforcement) around 0.35-0.45. Semi-metallic linings 0.35-0.45 with better high-temperature stability. Ceramic linings 0.40-0.50 with excellent heat resistance. Racing materials can reach 0.55-0.65 but wear quickly. The friction coefficient decreases slightly at very high temperatures ('fade') — good brake design ensures this stays within acceptable limits.

How do I size a brake?

Determine the torque required to stop the load within a target time or distance. Select a friction material and appropriate friction coefficient. Compute required normal force F = T/(n·μ·r_m). Verify thermal capacity — peak heat generation and long-term average must stay within the brake's cooling capability. Size the disc or drum for adequate surface area and thermal mass. Most applications use standardized brake sizes from manufacturers and select based on published torque ratings.

Why do brakes fade when hot?

At high temperatures, brake friction material loses some of its frictional properties. Phenolic resin in brake linings can begin to decompose above 300-400°C, producing gases that create a thin gas cushion between pads and disc, reducing effective friction coefficient. Racing brakes use ceramic or carbon-carbon materials to maintain performance at higher temperatures. Proper brake sizing and cooling prevents fade under normal driving conditions.

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References & Further Reading

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