Analysis of Clutch – uniform wear, uniform pressure

Analysis of Torque Transmission

In the figure, the frictional surface has an outer radius, r0, inner radius ri.      

Assume an elemental surface area of thickness dr at a radius of r from the centre. If p is the pressure exerted while putting the two discs A and B together.

ro – radius of outer end of the clutch facing

ri – radius of inner edge of clutch facing

dr – thickness of the elemental element of clutch facing at a distance of r from the centre

Total axial force, df = p.dA

df = p.2πr.dr

F = 2π

The torque that can be transmitted

Case I : If pressure is constant i.e. p=k

Case II: if wear is constant i.e. p.r = constant