Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure between Clutch Plates = 12*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))
Pp = 12*MT/(pi*μ*((do^3)-(di^3)))
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Pressure between Clutch Plates - (Measured in Pascal) - Pressure between Clutch Plates is the force applied perpendicular to the surface of the clutch plate per unit area over which that force is distributed.
Friction Torque on Clutch - (Measured in Newton Meter) - The Friction Torque on Clutch is the torque that is acting on the friction clutch.
Coefficient of Friction Clutch - Coefficient of Friction Clutch (μ) is the ratio defining the force that resists the motion of clutch in relation to another body in contact with it.
Outer Diameter of Clutch - (Measured in Meter) - Outer Diameter of Clutch is the diameter of the outer circle of the circular plate of the friction clutch.
Inner Diameter of Clutch - (Measured in Meter) - Inner Diameter of Clutch is the diameter of the inner circle of the circular plate of the friction clutch.
STEP 1: Convert Input(s) to Base Unit
Friction Torque on Clutch: 238500 Newton Millimeter --> 238.5 Newton Meter (Check conversion here)
Coefficient of Friction Clutch: 0.2 --> No Conversion Required
Outer Diameter of Clutch: 200 Millimeter --> 0.2 Meter (Check conversion here)
Inner Diameter of Clutch: 100 Millimeter --> 0.1 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pp = 12*MT/(pi*μ*((do^3)-(di^3))) --> 12*238.5/(pi*0.2*((0.2^3)-(0.1^3)))
Evaluating ... ...
Pp = 650716.353041435
STEP 3: Convert Result to Output's Unit
650716.353041435 Pascal -->0.650716353041435 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
0.650716353041435 0.650716 Newton per Square Millimeter <-- Pressure between Clutch Plates
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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11 Frictional Torque Calculators

Friction Torque on Clutch from Constant Pressure Theory given Axial Force
Go Friction Torque on Clutch = Coefficient of Friction Clutch*Axial Force for Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/(3*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))
Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque
Go Permissible Intensity of Pressure in Clutch = 8*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*Inner Diameter of Clutch*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))
Frictional Torque on Clutch from Constant Wear Theory given Diameters
Go Friction Torque on Clutch = pi*Coefficient of Friction Clutch*Permissible Intensity of Pressure in Clutch*Inner Diameter of Clutch*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/8
Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque
Go Pressure between Clutch Plates = 12*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))
Friction Torque on Clutch from Constant Pressure Theory given Pressure
Go Friction Torque on Clutch = pi*Coefficient of Friction Clutch*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/12
Friction Torque on Clutch from Constant Wear Theory given Diameters
Go Friction Torque on Clutch = Coefficient of Friction Clutch*Axial Force for Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch)/4
Friction Radius of Clutch given Friction Torque
Go Friction Radius of Clutch = Friction Torque on Clutch/(Coefficient of Friction Clutch*Axial Force for Clutch)
Friction Torque on Clutch given Friction Radius
Go Friction Torque on Clutch = Coefficient of Friction Clutch*Axial Force for Clutch*Friction Radius of Clutch
Rated Torque of Clutch given Torque Capacity
Go Rated Torque of Friction Clutch = Torque Capacity for Clutch/Service Factor for Clutch
Torque Capacity of Clutch
Go Torque Capacity for Clutch = Service Factor for Clutch*Rated Torque of Friction Clutch
Service Factor for Clutch
Go Service Factor for Clutch = Torque Capacity for Clutch/Rated Torque of Friction Clutch

Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque Formula

Pressure between Clutch Plates = 12*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))
Pp = 12*MT/(pi*μ*((do^3)-(di^3)))

What is a clutch?

The clutch is a mechanical device, which is used to connect or disconnect the source of power from the remaining parts of the power transmission system at the will of the operator.

How to Calculate Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque?

Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque calculator uses Pressure between Clutch Plates = 12*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))) to calculate the Pressure between Clutch Plates, Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque is defined as the pressure that is acting onto the friction clutch when the clutch is engaged. Pressure between Clutch Plates is denoted by Pp symbol.

How to calculate Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque using this online calculator? To use this online calculator for Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque, enter Friction Torque on Clutch (MT), Coefficient of Friction Clutch (μ), Outer Diameter of Clutch (do) & Inner Diameter of Clutch (di) and hit the calculate button. Here is how the Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque calculation can be explained with given input values -> 6.5E-7 = 12*238.5/(pi*0.2*((0.2^3)-(0.1^3))).

FAQ

What is Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque?
Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque is defined as the pressure that is acting onto the friction clutch when the clutch is engaged and is represented as Pp = 12*MT/(pi*μ*((do^3)-(di^3))) or Pressure between Clutch Plates = 12*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))). The Friction Torque on Clutch is the torque that is acting on the friction clutch, Coefficient of Friction Clutch (μ) is the ratio defining the force that resists the motion of clutch in relation to another body in contact with it, Outer Diameter of Clutch is the diameter of the outer circle of the circular plate of the friction clutch & Inner Diameter of Clutch is the diameter of the inner circle of the circular plate of the friction clutch.
How to calculate Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque?
Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque is defined as the pressure that is acting onto the friction clutch when the clutch is engaged is calculated using Pressure between Clutch Plates = 12*Friction Torque on Clutch/(pi*Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))). To calculate Pressure on Clutch Plate from Constant Pressure Theory given Friction Torque, you need Friction Torque on Clutch (MT), Coefficient of Friction Clutch (μ), Outer Diameter of Clutch (do) & Inner Diameter of Clutch (di). With our tool, you need to enter the respective value for Friction Torque on Clutch, Coefficient of Friction Clutch, Outer Diameter of Clutch & Inner Diameter of Clutch and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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