Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
pa = 8*MT/(pi*μ*di*((do^2)-(di^2)))
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Permissible Intensity of Pressure in Clutch - (Measured in Pascal) - The Permissible Intensity of Pressure in Clutch is the allowable value of pressure acting in the friction clutch.
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.
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.
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.
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
Inner Diameter of Clutch: 100 Millimeter --> 0.1 Meter (Check conversion here)
Outer Diameter of Clutch: 200 Millimeter --> 0.2 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
pa = 8*MT/(pi*μ*di*((do^2)-(di^2))) --> 8*238.5/(pi*0.2*0.1*((0.2^2)-(0.1^2)))
Evaluating ... ...
pa = 1012225.43806445
STEP 3: Convert Result to Output's Unit
1012225.43806445 Pascal -->1.01222543806445 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
1.01222543806445 1.012225 Newton per Square Millimeter <-- Permissible Intensity of Pressure in Clutch
(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

Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque Formula

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)))
pa = 8*MT/(pi*μ*di*((do^2)-(di^2)))

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 Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque?

Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque calculator uses 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))) to calculate the Permissible Intensity of Pressure in Clutch, Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque is defined as the allowable or the permissible limit of pressure on the friction clutch. It is the force acting per unit area onto the clutch plate. Permissible Intensity of Pressure in Clutch is denoted by pa symbol.

How to calculate Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque using this online calculator? To use this online calculator for Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque, enter Friction Torque on Clutch (MT), Coefficient of Friction Clutch (μ), Inner Diameter of Clutch (di) & Outer Diameter of Clutch (do) and hit the calculate button. Here is how the Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque calculation can be explained with given input values -> 1E-6 = 8*238.5/(pi*0.2*0.1*((0.2^2)-(0.1^2))).

FAQ

What is Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque?
Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque is defined as the allowable or the permissible limit of pressure on the friction clutch. It is the force acting per unit area onto the clutch plate and is represented as pa = 8*MT/(pi*μ*di*((do^2)-(di^2))) or 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))). 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, Inner Diameter of Clutch is the diameter of the inner circle of the circular plate of the friction clutch & Outer Diameter of Clutch is the diameter of the outer circle of the circular plate of the friction clutch.
How to calculate Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque?
Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque is defined as the allowable or the permissible limit of pressure on the friction clutch. It is the force acting per unit area onto the clutch plate is calculated using 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))). To calculate Permissible Pressure Intensity on Clutch from Constant Wear Theory given Friction Torque, you need Friction Torque on Clutch (MT), Coefficient of Friction Clutch (μ), Inner Diameter of Clutch (di) & Outer Diameter of Clutch (do). With our tool, you need to enter the respective value for Friction Torque on Clutch, Coefficient of Friction Clutch, Inner Diameter of Clutch & Outer 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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