EngineeringMechanical EngineeringMedium

Mechanical Clutch

Also known as:Friction ClutchPower CouplerTorque Coupler

A mechanical clutch is a device that engages and disengages the transmission of power between two rotating shafts, allowing controlled connection and disconnection of a driver and driven component. Clutches are essential in automotive manual transmissions, industrial machinery, and any system requiring selective power coupling without stopping the prime mover. The torque transmission capacity depends on friction surface area, clamping force, and coefficient of friction between the mating surfaces.

Key Formula

T = mu * W * R_m

LaTeX: T = \mu W R_m

SymbolMeaningUnit
TTransmitted torqueN·m
\muCoefficient of friction between clutch surfacesdimensionless
WAxial clamping force (normal force)N
R_mMean radius of friction surfacem

Worked Example

Problem

A single-plate clutch has an outer radius of 150 mm and inner radius of 80 mm, coefficient of friction μ = 0.3, and axial clamping force W = 6000 N. Calculate the torque capacity using the uniform pressure theory.

Solution

Step 1: Calculate mean radius (uniform pressure theory). R_m = (2/3) × (R_o³ - R_i³) / (R_o² - R_i²) R_m = (2/3) × (0.15³ - 0.08³) / (0.15² - 0.08²) R_m = (2/3) × (3.375×10⁻³ - 5.12×10⁻⁴) / (0.0225 - 0.0064) R_m = (2/3) × (2.863×10⁻³) / (0.0161) R_m = (2/3) × 0.1778 = 0.1185 m Step 2: Apply torque formula. T = μ × W × R_m = 0.3 × 6000 × 0.1185

Answer

Clutch torque capacity T ≈ 213.3 N·m

Types of Mechanical Clutches and Their Operating Principles

Clutch TypeEngagement MechanismApplicationSlip CharacteristicMaintenance
Friction Plate ClutchFriction between platesAutomobile manual gearboxControlled slip possibleRegular plate replacement
Dog ClutchPositive tooth engagementMachine tools, synchromeshNo slip (positive drive)Low maintenance
Centrifugal ClutchCentrifugal force on shoesMopeds, chainsawsAutomatic engagement at speedModerate
Fluid CouplingHydraulic fluid torqueHeavy vehicles, turbinesInherent slipLow (sealed unit)
Electromagnetic ClutchMagnetic field clampingCNC machines, elevatorsNo slip when engagedVery low

Interactive Tools

WolframAlpha Torque Calculations

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Brilliant – Friction and Torque

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Khan Academy – Work and Torque

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Cross-section diagram of a single-plate dry friction clutch assembly

Wikimedia Commons, CC BY-SA

Related Terms

From Middle English "clucchen" (to grip, to clench), related to Old English "clyccan." The friction-plate clutch for automobiles was developed in the late 19th century alongside the internal combustion engine, with Karl Benz and other pioneers incorporating clutch mechanisms in early motorcars around 1885–1895.

clutchpower transmissionfrictionautomotivemachine elementstorque coupling