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

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Design of Friction Clutches

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Constant Pressure Theory

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✖The Friction Torque on Clutch is the torque that is acting on the friction clutch.ⓘ Friction Torque on Clutch [M_T]			+10% -10%
✖Outer Diameter of Clutch is the diameter of the outer circle of the circular plate of the friction clutch.ⓘ Outer Diameter of Clutch [d_o]			+10% -10%
✖Inner Diameter of Clutch is the diameter of the inner circle of the circular plate of the friction clutch.ⓘ Inner Diameter of Clutch [d_i]			+10% -10%
✖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.ⓘ Coefficient of Friction Clutch [μ]			+10% -10%

✖Axial Force for Clutch is defined as the compression or tension force acting on the clutch along the axis.ⓘ Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter [P_a]

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Formula

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

Formula

`"P"_{"a"} = "M"_{"T"}*(3*(("d"_{"o"}^2)-("d"_{"i"}^2)))/("μ"*(("d"_{"o"}^3)-("d"_{"i"}^3)))`

Example

`"15332.14N"="238500N*mm"*(3*((("200mm")^2)-(("100mm")^2)))/("0.2"*((("200mm")^3)-(("100mm")^3)))`

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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)))
P_a = M_T*(3*((d_o^2)-(d_i^2)))/(μ*((d_o^3)-(d_i^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

P_a = M_T*(3*((d_o^2)-(d_i^2)))/(μ*((d_o^3)-(d_i^3))) --> 238.5*(3*((0.2^2)-(0.1^2)))/(0.2*((0.2^3)-(0.1^3)))

Evaluating ... ...

P_a = 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 00.007 seconds)

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Home » Physics » Design of Automobile Elements » Design of Friction Clutches » Constant Pressure Theory » Axial Force on Clutch from Constant Pressure Theory given Fiction Torque and Diameter

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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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< 12 Constant Pressure Theory Calculators

Friction Torque on Cone Clutch from Constant Pressure Theory given Axial Force

Go Friction Torque on Clutch = Coefficient of Friction Clutch*Operating Force for Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/(3*(sin(Semi-Cone Angle of Clutch))*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))

Friction Torque on Multiple Disk Clutch from Constant Pressure Theory

Go Friction Torque on Clutch = Coefficient of Friction Clutch*Operating Force for Clutch*Pairs of Contacting Surface of Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/(3*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))

Friction Torque on Cone Clutch from Constant Pressure Theory

Go Friction Torque on Clutch = pi*Coefficient of Friction Clutch*Constant Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3))/(12*(sin(Semi-Cone Angle of Clutch)))

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)))

Coefficient of Friction of Clutch from Constant Pressure Theory given Friction Torque

Go Coefficient of Friction Clutch = Friction Torque on Clutch*(3*((Outer Diameter of Clutch^2)-(Inner Diameter of Clutch^2)))/(Axial Force for Clutch*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))

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)))

Collar Friction Torque in Accordance of Uniform Pressure Theory

Go Collar Friction Torque = ((Coefficient of Friction*Load)*(Outer Diameter of Collar^3-Inner Diameter of Collar^3))/(3*(Outer Diameter of Collar^2-Inner Diameter of Collar^2))

Coefficient of Friction for Clutch from Constant Pressure Theory given Diameters

Go Coefficient of Friction Clutch = 12*Friction Torque on Clutch/(pi*Pressure between Clutch Plates*((Outer Diameter of Clutch^3)-(Inner Diameter of Clutch^3)))

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

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 from Constant Pressure Theory given Fiction Torque and Diameter Formula

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 P_a 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 (M_T), Outer Diameter of Clutch (d_o), Inner Diameter of Clutch (d_i) & 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 P_a = M_T*(3*((d_o^2)-(d_i^2)))/(μ*((d_o^3)-(d_i^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 (M_T), Outer Diameter of Clutch (d_o), Inner Diameter of Clutch (d_i) & 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 1 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

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