Collar Friction Torque in Accordance of Uniform Pressure Theory Calculator

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Design of Friction Clutches

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Constant Pressure Theory

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✖The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.ⓘ Coefficient of Friction [μ_f]			+10% -10%
✖Load is the instantaneous load applied perpendicular to the specimen cross-section.ⓘ Load [W_load]			+10% -10%
✖The Outer Diameter of Collar is the actual outer diameter of the collar.ⓘ Outer Diameter of Collar [d₀]			+10% -10%
✖The Inner Diameter of Collar is the actual inner diameter of the collar.ⓘ Inner Diameter of Collar [d_i]			+10% -10%

✖The Collar Friction Torque is the additional torque required to account for the friction between Collar and Load.ⓘ Collar Friction Torque in Accordance of Uniform Pressure Theory [T_c]

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Formula

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Collar Friction Torque in Accordance of Uniform Pressure Theory

Formula

`"T"_{"c"} = (("μ"_{"f"}*"W"_{"load"})*("d"_{"0"}^3-"d"_{"i"}^3))/(3*("d"_{"0"}^2-"d"_{"i"}^2))`

Example

`"31.41333N*m"=(("0.2"*"3.6kN")*(("120mm")^3-("42mm")^3))/(3*(("120mm")^2-("42mm")^2))`

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Collar Friction Torque in Accordance of Uniform Pressure Theory Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
T_c = ((μ_f*W_load)*(d₀^3-d_i^3))/(3*(d₀^2-d_i^2))
This formula uses 5 Variables

Variables Used

Collar Friction Torque - (Measured in Newton Meter) - The Collar Friction Torque is the additional torque required to account for the friction between Collar and Load.
Coefficient of Friction - The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Load - (Measured in Newton) - Load is the instantaneous load applied perpendicular to the specimen cross-section.
Outer Diameter of Collar - (Measured in Meter) - The Outer Diameter of Collar is the actual outer diameter of the collar.
Inner Diameter of Collar - (Measured in Meter) - The Inner Diameter of Collar is the actual inner diameter of the collar.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction: 0.2 --> No Conversion Required
Load: 3.6 Kilonewton --> 3600 Newton (Check conversion here)
Outer Diameter of Collar: 120 Millimeter --> 0.12 Meter (Check conversion here)
Inner Diameter of Collar: 42 Millimeter --> 0.042 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_c = ((μ_f*W_load)*(d₀^3-d_i^3))/(3*(d₀^2-d_i^2)) --> ((0.2*3600)*(0.12^3-0.042^3))/(3*(0.12^2-0.042^2))

Evaluating ... ...

T_c = 31.4133333333333

STEP 3: Convert Result to Output's Unit

31.4133333333333 Newton Meter --> No Conversion Required

FINAL ANSWER

31.4133333333333 ≈ 31.41333 Newton Meter <-- Collar Friction Torque

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Friction Clutches » Constant Pressure Theory » Collar Friction Torque in Accordance of Uniform Pressure Theory

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Created by Akshay Talbar

Vishwakarma University (VU), Pune

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National Institute Of Technology (NIT), Hamirpur

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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

Collar Friction Torque in Accordance of Uniform Pressure Theory Formula

What is collar friction in uniform pressure theory?

When the part is new the pressure is uniformly distributed overall the part so the working is uniform.

How to Calculate Collar Friction Torque in Accordance of Uniform Pressure Theory?

Collar Friction Torque in Accordance of Uniform Pressure Theory calculator uses 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)) to calculate the Collar Friction Torque, The Collar friction torque in accordance of Uniform Pressure Theory formula is defined as the torque required to overcome the friction or collar friction. Collar Friction Torque is denoted by T_c symbol.

How to calculate Collar Friction Torque in Accordance of Uniform Pressure Theory using this online calculator? To use this online calculator for Collar Friction Torque in Accordance of Uniform Pressure Theory, enter Coefficient of Friction (μ_f), Load (W_load), Outer Diameter of Collar (d₀) & Inner Diameter of Collar (d_i) and hit the calculate button. Here is how the Collar Friction Torque in Accordance of Uniform Pressure Theory calculation can be explained with given input values -> 31.41333 = ((0.2*3600)*(0.12^3-0.042^3))/(3*(0.12^2-0.042^2)).

FAQ

What is Collar Friction Torque in Accordance of Uniform Pressure Theory?

The Collar friction torque in accordance of Uniform Pressure Theory formula is defined as the torque required to overcome the friction or collar friction and is represented as T_c = ((μ_f*W_load)*(d₀^3-d_i^3))/(3*(d₀^2-d_i^2)) or 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)). The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it, Load is the instantaneous load applied perpendicular to the specimen cross-section, The Outer Diameter of Collar is the actual outer diameter of the collar & The Inner Diameter of Collar is the actual inner diameter of the collar.

How to calculate Collar Friction Torque in Accordance of Uniform Pressure Theory?

The Collar friction torque in accordance of Uniform Pressure Theory formula is defined as the torque required to overcome the friction or collar friction is calculated using 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)). To calculate Collar Friction Torque in Accordance of Uniform Pressure Theory, you need Coefficient of Friction (μ_f), Load (W_load), Outer Diameter of Collar (d₀) & Inner Diameter of Collar (d_i). With our tool, you need to enter the respective value for Coefficient of Friction, Load, Outer Diameter of Collar & Inner Diameter of Collar 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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