A clutch connects or disconnects an input shaft from a gear. This calculator shows a friction-face version followed by an external spur-gear pair. When locked, the clutch transfers shaft rotation to the first gear; the mating output gear reverses direction and changes speed according to the tooth ratio.
Clutch and Gear Interactive Calculator
Calculate the capacity of a single-surface friction clutch followed by one external gear pair. The animation shows the fully engaged state: input and clutch-side gear turn together, while the output gear turns oppositely at the selected ratio.
Equation Used
- Single active friction surface with a known effective radius.
- No clutch slip in the illustrated locked state.
- Ideal external gear pair; output direction is reversed.
- No engagement transient, thermal limit, inertia or tooth strength calculation.
One active friction interface, entered effective radius, full axial force and a fully engaged no-slip clutch. Gear losses are ignored. The cutaway and end view are separate views of the same drive path. Illustrative tooth counts exactly reproduce the entered ratio, not a specified gearbox. This friction model does not rate jaw-clutch teeth or predict engagement, heat or wear.
Follow the drive through two views
The upper cutaway shows an input collar keyed to the shaft, a single friction lining and the gear-side face. Axial force presses the faces together. The input and gear-side rotation markers agree because this view represents a fully engaged clutch without slip.
The lower end view exposes the external gear mesh. Both gears use the same illustrative module; their pitch circles touch. The driver and driven gear rotate in opposite directions with equal pitch-line speed. This second view is a viewing aid, not another clutch or an additional gear stage.
Hiscox figure 1306 shows interlocking jaws connecting a shaft and gear. The friction-face variant illustrated here transfers torque through clamped faces instead. Its friction-capacity equation does not rate jaw-clutch teeth.
Two functions in one drive path
The clutch controls whether torque can pass to the gear. The gear pair establishes a speed and torque ratio when the connection is made. A friction face, an interlocking jaw and a synchronizer are distinct mechanisms: their capacity and engagement checks are not interchangeable.
The illustration is an educational arrangement rather than a reconstruction of a named commercial machine. Bearings, keyed connections and the active friction face are shown so the torque path is visible.
Capacity and speed calculations
For one active friction surface, Tcap = μ Fn R, with R converted from millimetres to metres. The effective radius represents the radial weighting of friction over the face; it is not simply the outside plate radius.
Let i = input speed/output speed = output teeth/input teeth. The ideal output torque capacity is iTcap and output speed is input speed/i. Power at capacity is Tcap × 2π × input rpm/60000 in kW. These ideal input and output powers are equal.
The illustration chooses integer tooth counts that reproduce the ratio and keeps both counts at least 18. It rescales the gear view to fit. This is visual geometry, not a gear-strength or package-size recommendation.
Worked clutch-and-gear example
With μ = 0.35, axial force 1000 N and effective radius 50 mm, clutch capacity is 17.5 N·m. At 600 rpm, power at capacity is 1.10 kW. A 2:1 external gear pair gives 300 rpm in the opposite direction and an ideal output torque capacity of 35 N·m.
Doubling axial force doubles the two torque capacities and power at capacity. It does not change the gear ratio or locked output speed. Doubling input speed doubles output speed and power at capacity without changing the calculated torque capacities.
Reading the result
A higher ratio trades output speed for ideal output torque. It does not create power. A higher friction coefficient, clamping force or effective radius increases this simplified clutch capacity.
Animation speed is reduced for inspection, with the same slowdown applied to both shafts. Engagement transients and losses are not simulated. The tool does not supply a universal friction material, wear allowance, permissible tooth stress or safe engagement-speed difference.
Clutch and gear questions
Does the torque value equal the torque being used?
No. It is a simplified friction capacity. Actual operating torque depends on the load and drive.
Why does the output reverse direction?
The animation has one external gear mesh. Its mating gears rotate in opposite directions.
Why do friction or force changes leave output speed unchanged?
The view assumes the clutch is locked without slip. Speed is set by input speed and gear ratio; capacity is set by the friction inputs.
Can this rate a jaw clutch?
No. Interlocking jaws transmit torque through their tooth contacts and need their own geometry and strength checks.
References & further reading
- IIT Madras, K. Gopinath and M. M. Mayuram, Machine Design II: Clutch, single-surface axial-disc model, figures 3.2.3 and 3.2.5; equivalent radius and active friction surfaces.
- KHK Gear Nomenclature: external spur pairs rotate in opposite directions.
- Hiscox (1901), printed page 320, figure 1306, shows a jaw clutch engaging a gear on a feathered shaft. Compare that jaw connection with the clamped friction faces illustrated here.
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