Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Axial Force for Clutch = Friction Torque on Clutch*(3*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))/(Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))
Pa = MT*(3*((do^2)-(di^2)))/(μ*((do^3)-(di^3)))
This formula uses 5 Variables
Variables Used
Axial Force for Clutch - (Measured in Newton) - Axial Force for Clutch is defined as the compression or tension force acting on the clutch along the axis.
Friction Torque on Clutch - (Measured in Newton Meter) - The Friction Torque on Clutch is the torque that is acting on 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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Friction Torque on Clutch: 238500 Newton Millimeter --> 238.5 Newton Meter (Check conversion here)
Outer Diameter of Clutch: 200 Millimeter --> 0.2 Meter (Check conversion here)
Inner Diameter of Clutch: 100 Millimeter --> 0.1 Meter (Check conversion here)
Coefficient of Friction Clutch: 0.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pa = MT*(3*((do^2)-(di^2)))/(μ*((do^3)-(di^3))) --> 238.5*(3*((0.2^2)-(0.1^2)))/(0.2*((0.2^3)-(0.1^3)))
Evaluating ... ...
Pa = 15332.1428571429
STEP 3: Convert Result to Output's Unit
15332.1428571429 Newton --> No Conversion Required
FINAL ANSWER
15332.1428571429 15332.14 Newton <-- Axial Force for Clutch
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Dayananda Sagar College of Engineering (DSCE), Bengaluru
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10+ Axial Force Calculators

Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter
Go Axial Force for Clutch = Friction Torque on Clutch*(3*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))/(Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))
Permissible Pressure Intensity on Clutch from Constant Wear Theory given Axial Force
Go Permissible Intensity of Pressure in Clutch = 2*Axial Force for Clutch/(pi*Inner Diameter of Clutch*(Outer Diameter of Clutch-Inner Diameter of Clutch))
Axial Force on Clutch from Constant Wear Theory given Permissible Intensity of Pressure
Go Axial Force for Clutch = pi*Permissible Intensity of Pressure in Clutch*Inner Diameter of Clutch*(Outer Diameter of Clutch-Inner Diameter of Clutch)/2
Axial Force on Clutch from Constant Wear Theory given Friction Torque
Go Axial Force for Clutch = 4*Friction Torque on Clutch/(Coefficient of Friction Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch))
Pressure on Clutch Plate from Constant Pressure Theory given Axial Force
Go Pressure between Clutch Plates = 4*Axial Force for Clutch/(pi*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))
Axial Force on Clutch from Constant Pressure Theory given Pressure Intensity and Diameter
Go Axial Force for Clutch = pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/4
Axial Force on Clutch given Friction Radius
Go Axial Force for Clutch = Friction Torque on Clutch/(Coefficient of Friction Clutch*Friction Radius of Clutch)
Friction Radius of Clutch given Outer and Inner Diameter
Go Friction Radius of Clutch = (Outer Diameter of Clutch+Inner Diameter of Clutch)/4
Inner Diameter of Clutch given Friction Radius
Go Inner Diameter of Clutch = (4*Friction Radius of Clutch)-Outer Diameter of Clutch
Outer Diameter of Clutch given Friction Radius
Go Outer Diameter of Clutch = (4*Friction Radius of Clutch)-Inner Diameter of Clutch

Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter Formula

Axial Force for Clutch = Friction Torque on Clutch*(3*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))/(Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))
Pa = MT*(3*((do^2)-(di^2)))/(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 Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter?

Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter calculator uses Axial Force for Clutch = Friction Torque on Clutch*(3*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))/(Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))) to calculate the Axial Force for Clutch, Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter is defined as the force acting onto the friction clutch in the axial direction when the clutch is engaged. Axial Force for Clutch is denoted by Pa symbol.

How to calculate Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter using this online calculator? To use this online calculator for Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter, enter Friction Torque on Clutch (MT), Outer Diameter of Clutch (do), Inner Diameter of Clutch (di) & Coefficient of Friction Clutch (μ) and hit the calculate button. Here is how the Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter calculation can be explained with given input values -> 15332.14 = 238.5*(3*((0.2^2)-(0.1^2)))/(0.2*((0.2^3)-(0.1^3))).

FAQ

What is Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter?
Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter is defined as the force acting onto the friction clutch in the axial direction when the clutch is engaged and is represented as Pa = MT*(3*((do^2)-(di^2)))/(μ*((do^3)-(di^3))) or Axial Force for Clutch = Friction Torque on Clutch*(3*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))/(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, 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 & 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.
How to calculate Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter?
Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter is defined as the force acting onto the friction clutch in the axial direction when the clutch is engaged is calculated using Axial Force for Clutch = Friction Torque on Clutch*(3*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))/(Coefficient of Friction Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))). To calculate Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter, you need Friction Torque on Clutch (MT), Outer Diameter of Clutch (do), Inner Diameter of Clutch (di) & Coefficient of Friction Clutch (μ). With our tool, you need to enter the respective value for Friction Torque on Clutch, Outer Diameter of Clutch, Inner Diameter of Clutch & Coefficient of Friction Clutch and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Axial Force for Clutch?
In this formula, Axial Force for Clutch uses Friction Torque on Clutch, Outer Diameter of Clutch, Inner Diameter of Clutch & Coefficient of Friction Clutch. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Axial Force for Clutch = pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2))/4
  • Axial Force for Clutch = pi*Permissible Intensity of Pressure in Clutch*Inner Diameter of Clutch*(Outer Diameter of Clutch-Inner Diameter of Clutch)/2
  • Axial Force for Clutch = 4*Friction Torque on Clutch/(Coefficient of Friction Clutch*(Outer Diameter of Clutch+Inner Diameter of Clutch))
  • Axial Force for Clutch = Friction Torque on Clutch/(Coefficient of Friction Clutch*Friction Radius of Clutch)
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