# Design of Plate Clutch (Uniform pressure theory and uniform wear theory)

**friction clutch**. It consists of two flanges, one of them is rigidly keyed to driving shaft, and the other is free to slide along the driven shaft due to the splined connection. A compression spring is used to press these flanges against each other and torque is transmitted by friction. A suitable mechanism is provided to compress the clutch spring to disengage the clutch.

The amount of torque transmitted depend on axial force, the coefficient of friction, the area of contact.

🔗Energy Loss by Friction Clutch During Engagement

🔗Difference between Single plate clutch and Multi plate clutch

## Design of single plate clutch

T = Torque transmittedµ = Coefficient of friction

r

_{1}, r

_{2}= External and internal radius of contact surface.

p = Intensity of pressure

W = Total axial load

There are two cases, uniform pressure and uniform wear.

**1. Uniform pressure theory**

Assuming the pressure is uniformly distributed over the entire surface of friction face. i.e. p = constant

Mean radius of friction surface,

** **

**2. Uniform wear theory**

Assumption, in this case, pr = constant

p is the normal pressure intensity at a distance r from the axis.

Mean radius of friction surface,

The intensity of pressure is maximum at the inner radius of friction surface and minimum at the outer radius.

p_{max} r_{2}= constant

p_{min} r_{1}= constant

## Design of multi-plate clutch

Fig. shows a multi-plate clutch. A multi-plate clutch is used where large torque is required to be transmitted. They have a number of pairs of contacting surfaces.

For multi-plate clutch

Number of pairs of contacting surface n = n_{1}+n_{2}-1

Here n_{1} and n_{2} are the number of discs on the driving and driven shaft respectively.

The total torque transmitted,

for uniform pressure theory

for uniform wear theory

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