Collar Friction Torque for Screw according to Uniform Pressure Theory Calculator

✖The Coefficient of Friction for Collar 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 for Collar [μ_collar]			+10% -10%
✖Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.ⓘ Load on screw [W]			+10% -10%
✖Outer Radius of Power Screw Collar is the distance from the center of the collar to the outermost edge of the collar of a power screw.ⓘ Outer Radius of Power Screw Collar [R₁]			+10% -10%
✖Inner Radius of Power Screw Collar is the distance from the center of the collar to the innermost edge of the collar of a power screw.ⓘ Inner Radius of Power Screw Collar [R₂]			+10% -10%

✖Collar Friction Torque for Power Screw is the additional torque required to account for the friction between the Collar and Load of the power screw.ⓘ Collar Friction Torque for Screw according to Uniform Pressure Theory [T_c]

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Formula

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Collar Friction Torque for Screw according to Uniform Pressure Theory

Formula

`"T"_{"c"} = ("μ"_{"collar"}*"W"*(("R"_{"1"}^3)-("R"_{"2"}^3)))/((3/2)*(("R"_{"1"}^2)-("R"_{"2"}^2)))`

Example

`"11951.13N*mm"=("0.16"*"1700N"*((("54mm")^3)-(("32mm")^3)))/((3/2)*((("54mm")^2)-(("32mm")^2)))`

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Collar Friction Torque for Screw according to Uniform Pressure Theory Solution

STEP 0: Pre-Calculation Summary

Formula Used

Collar Friction Torque for Power Screw = (Coefficient of Friction for Collar*Load on screw*((Outer Radius of Power Screw Collar^3)-(Inner Radius of Power Screw Collar^3)))/((3/2)*((Outer Radius of Power Screw Collar^2)-(Inner Radius of Power Screw Collar^2)))
T_c = (μ_collar*W*((R₁^3)-(R₂^3)))/((3/2)*((R₁^2)-(R₂^2)))
This formula uses 5 Variables

Variables Used

Collar Friction Torque for Power Screw - (Measured in Newton Meter) - Collar Friction Torque for Power Screw is the additional torque required to account for the friction between the Collar and Load of the power screw.
Coefficient of Friction for Collar - The Coefficient of Friction for Collar is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Load on screw - (Measured in Newton) - Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.
Outer Radius of Power Screw Collar - (Measured in Meter) - Outer Radius of Power Screw Collar is the distance from the center of the collar to the outermost edge of the collar of a power screw.
Inner Radius of Power Screw Collar - (Measured in Meter) - Inner Radius of Power Screw Collar is the distance from the center of the collar to the innermost edge of the collar of a power screw.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction for Collar: 0.16 --> No Conversion Required
Load on screw: 1700 Newton --> 1700 Newton No Conversion Required
Outer Radius of Power Screw Collar: 54 Millimeter --> 0.054 Meter (Check conversion here)
Inner Radius of Power Screw Collar: 32 Millimeter --> 0.032 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_c = (μ_collar*W*((R₁^3)-(R₂^3)))/((3/2)*((R₁^2)-(R₂^2))) --> (0.16*1700*((0.054^3)-(0.032^3)))/((3/2)*((0.054^2)-(0.032^2)))

Evaluating ... ...

T_c = 11.9511317829457

STEP 3: Convert Result to Output's Unit

11.9511317829457 Newton Meter -->11951.1317829457 Newton Millimeter (Check conversion here)

FINAL ANSWER

11951.1317829457 ≈ 11951.13 Newton Millimeter <-- Collar Friction Torque for Power Screw

(Calculation completed in 00.007 seconds)

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Home » Engineering » Mechanical » Machine Design » Power Screws » Collar Friction » Collar Friction Torque for Screw according to Uniform Pressure Theory

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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Vishwakarma University (VU), Pune

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< 6 Collar Friction Calculators

Collar Friction Torque for Screw according to Uniform Pressure Theory

Go Collar Friction Torque for Power Screw = (Coefficient of Friction for Collar*Load on screw*((Outer Radius of Power Screw Collar^3)-(Inner Radius of Power Screw Collar^3)))/((3/2)*((Outer Radius of Power Screw Collar^2)-(Inner Radius of Power Screw Collar^2)))

Load on Screw given Collar Friction Torque according to Uniform Pressure Theory

Go Load on screw = (3*Collar Friction Torque for Power Screw*((Outer Diameter of Collar^2)-(Inner Diameter of Collar^2)))/(Coefficient of Friction for Collar*((Outer Diameter of Collar^3)-(Inner Diameter of Collar^3)))

Coefficient of Friction at Collar of Screw according to Uniform Pressure Theory

Go Coefficient of Friction for Collar = (3*Collar Friction Torque for Power Screw*((Outer Diameter of Collar^2)-(Inner Diameter of Collar^2)))/(Load on screw*((Outer Diameter of Collar^3)-(Inner Diameter of Collar^3)))

Collar Friction Torque for Screw according to Uniform Wear Theory

Go Collar Friction Torque for Power Screw = Coefficient of Friction for Collar*Load on screw*(Outer Radius of Power Screw Collar+Inner Radius of Power Screw Collar)/2

Load on Screw given Collar Friction Torque according to Uniform Wear Theory

Go Load on screw = (4*Collar Friction Torque for Power Screw)/(Coefficient of Friction for Collar*((Outer Diameter of Collar)+(Inner Diameter of Collar)))

Coefficient of Friction at Collar of Screw according to Uniform Wear Theory

Go Coefficient of Friction for Collar = (4*Collar Friction Torque for Power Screw)/(Load on screw*((Outer Diameter of Collar)+(Inner Diameter of Collar)))

Collar Friction Torque for Screw according to Uniform Pressure Theory Formula

What is collar friction torque?

Collar Friction Torque is the additional torque required to account for the friction between Collar and Load. The presence of collar increases the friction torque. A thrust collar bearing must be employed between the rotating and stationary members in order to carry the axial component. Coefficients of friction around 0.1 to 0.2 may be expected for common materials under conditions of ordinary service and lubrication.

How to Calculate Collar Friction Torque for Screw according to Uniform Pressure Theory?

Collar Friction Torque for Screw according to Uniform Pressure Theory calculator uses Collar Friction Torque for Power Screw = (Coefficient of Friction for Collar*Load on screw*((Outer Radius of Power Screw Collar^3)-(Inner Radius of Power Screw Collar^3)))/((3/2)*((Outer Radius of Power Screw Collar^2)-(Inner Radius of Power Screw Collar^2))) to calculate the Collar Friction Torque for Power Screw, Collar Friction Torque for Screw according to Uniform Pressure Theory is the additional torque required to account for the friction between Collar and Load. Collar Friction Torque for Power Screw is denoted by T_c symbol.

How to calculate Collar Friction Torque for Screw according to Uniform Pressure Theory using this online calculator? To use this online calculator for Collar Friction Torque for Screw according to Uniform Pressure Theory, enter Coefficient of Friction for Collar (μ_collar), Load on screw (W), Outer Radius of Power Screw Collar (R₁) & Inner Radius of Power Screw Collar (R₂) and hit the calculate button. Here is how the Collar Friction Torque for Screw according to Uniform Pressure Theory calculation can be explained with given input values -> 1.2E+7 = (0.16*1700*((0.054^3)-(0.032^3)))/((3/2)*((0.054^2)-(0.032^2))).

FAQ

What is Collar Friction Torque for Screw according to Uniform Pressure Theory?

Collar Friction Torque for Screw according to Uniform Pressure Theory is the additional torque required to account for the friction between Collar and Load and is represented as T_c = (μ_collar*W*((R₁^3)-(R₂^3)))/((3/2)*((R₁^2)-(R₂^2))) or Collar Friction Torque for Power Screw = (Coefficient of Friction for Collar*Load on screw*((Outer Radius of Power Screw Collar^3)-(Inner Radius of Power Screw Collar^3)))/((3/2)*((Outer Radius of Power Screw Collar^2)-(Inner Radius of Power Screw Collar^2))). The Coefficient of Friction for Collar is the ratio defining the force that resists the motion of one body in relation to another body in contact with it, Load on screw is defined as the weight (force) of the body that is acted upon the screw threads, Outer Radius of Power Screw Collar is the distance from the center of the collar to the outermost edge of the collar of a power screw & Inner Radius of Power Screw Collar is the distance from the center of the collar to the innermost edge of the collar of a power screw.

How to calculate Collar Friction Torque for Screw according to Uniform Pressure Theory?

Collar Friction Torque for Screw according to Uniform Pressure Theory is the additional torque required to account for the friction between Collar and Load is calculated using Collar Friction Torque for Power Screw = (Coefficient of Friction for Collar*Load on screw*((Outer Radius of Power Screw Collar^3)-(Inner Radius of Power Screw Collar^3)))/((3/2)*((Outer Radius of Power Screw Collar^2)-(Inner Radius of Power Screw Collar^2))). To calculate Collar Friction Torque for Screw according to Uniform Pressure Theory, you need Coefficient of Friction for Collar (μ_collar), Load on screw (W), Outer Radius of Power Screw Collar (R₁) & Inner Radius of Power Screw Collar (R₂). With our tool, you need to enter the respective value for Coefficient of Friction for Collar, Load on screw, Outer Radius of Power Screw Collar & Inner Radius of Power Screw Collar 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 Collar Friction Torque for Power Screw?

In this formula, Collar Friction Torque for Power Screw uses Coefficient of Friction for Collar, Load on screw, Outer Radius of Power Screw Collar & Inner Radius of Power Screw Collar. We can use 1 other way(s) to calculate the same, which is/are as follows -

Collar Friction Torque for Power Screw = Coefficient of Friction for Collar*Load on screw*(Outer Radius of Power Screw Collar+Inner Radius of Power Screw Collar)/2

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