Single-Disc Plate Clutch Derivation – Torque & Axial Load Equations Uniform Pressure & Wear (Part I)

#SinglePlateClutch #ClutchDesign #UniformPressureTheory #UniformWearTheory #TorqueCapacity #AxialLoad #FrictionSurfaces #AnnularPlate #PressureDistribution #FrictionClutch #MeanRadius #MachineDesign #GATE #ESE #MechanicalEngineering #ClutchDerivation #PowerTransmission #DesignOfClutches#MechanicalEngineering #CompetitiveExams #EngineeringAspirants #ExamPreparation #GATE2026 #ESE2026 #UniversityExam In this video, we derive the axial load and torque equations for a Single Plate Clutch under two theories: (i) Uniform Pressure Theory (ii) Uniform Wear Theory Formulas Covered: Uniform Pressure Theory: Axial Load: W = p × π (r₁² – r₂²) Torque: T = (2/3) μ W (r₁³ – r₂³) / (r₁² – r₂²) Uniform Wear Theory: Axial Load: W = 2π p r (r₁ – r₂) Torque: T = (1/2) μ W (r₁ + r₂) = μ W R Key Concepts: Assumptions for each theory Pressure distribution on friction surfaces Derivation of elemental force (dW) and elemental torque (dT) Integration over the annular area Comparison of both theories Applications and limitations Ideal for GATE, ESE, and university machine design courses.