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

✖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 Power Screw [T_c]			+10% -10%
✖The Outer Diameter of Collar is the actual outer diameter of the collar.ⓘ Outer Diameter of Collar [D_o]			+10% -10%
✖The Inner Diameter of Collar is the actual inner diameter of the collar.ⓘ Inner Diameter of Collar [D_i]			+10% -10%
✖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 given Collar Friction Torque according to Uniform Pressure Theory [W]

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Formula

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

Formula

`"W" = (3*"T"_{"c"}*(("D"_{"o"}^2)-("D"_{"i"}^2)))/("μ"_{"collar"}*(("D"_{"o"}^3)-("D"_{"i"}^3)))`

Example

`"1530.612N"=(3*"10000N*mm"*((("100mm")^2)-(("60mm")^2)))/("0.16"*((("100mm")^3)-(("60mm")^3)))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)))
W = (3*T_c*((D_o^2)-(D_i^2)))/(μ_collar*((D_o^3)-(D_i^3)))
This formula uses 5 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Collar Friction Torque for Power Screw: 10000 Newton Millimeter --> 10 Newton Meter (Check conversion here)
Outer Diameter of Collar: 100 Millimeter --> 0.1 Meter (Check conversion here)
Inner Diameter of Collar: 60 Millimeter --> 0.06 Meter (Check conversion here)
Coefficient of Friction for Collar: 0.16 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = (3*T_c*((D_o^2)-(D_i^2)))/(μ_collar*((D_o^3)-(D_i^3))) --> (3*10*((0.1^2)-(0.06^2)))/(0.16*((0.1^3)-(0.06^3)))

Evaluating ... ...

W = 1530.61224489796

STEP 3: Convert Result to Output's Unit

1530.61224489796 Newton --> No Conversion Required

FINAL ANSWER

1530.61224489796 ≈ 1530.612 Newton <-- Load on screw

(Calculation completed in 00.020 seconds)

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

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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Osmania University (OU), Hyderabad

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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)))

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

what is Load in collar friction torque?

it is the load which is acting on the cup.The cup remains stationary under the action of the load W, while the collar that is integral with the screw rotates when the load is being raised or lowered.Therefore, there is relative motion between the cup and the collar at the annular interface from diameter Di to Do.

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

Load on Screw given Collar Friction Torque according to Uniform Pressure Theory calculator uses 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))) to calculate the Load on screw, Load on Screw given Collar Friction Torque according to Uniform Pressure Theory is the load or the force which is acting on the screw. Load on screw is denoted by W symbol.

How to calculate Load on Screw given Collar Friction Torque according to Uniform Pressure Theory using this online calculator? To use this online calculator for Load on Screw given Collar Friction Torque according to Uniform Pressure Theory, enter Collar Friction Torque for Power Screw (T_c), Outer Diameter of Collar (D_o), Inner Diameter of Collar (D_i) & Coefficient of Friction for Collar (μ_collar) and hit the calculate button. Here is how the Load on Screw given Collar Friction Torque according to Uniform Pressure Theory calculation can be explained with given input values -> 1530.612 = (3*10*((0.1^2)-(0.06^2)))/(0.16*((0.1^3)-(0.06^3))).

FAQ

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

Load on Screw given Collar Friction Torque according to Uniform Pressure Theory is the load or the force which is acting on the screw and is represented as W = (3*T_c*((D_o^2)-(D_i^2)))/(μ_collar*((D_o^3)-(D_i^3))) or 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))). 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, 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 & 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.

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

Load on Screw given Collar Friction Torque according to Uniform Pressure Theory is the load or the force which is acting on the screw is calculated using 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))). To calculate Load on Screw given Collar Friction Torque according to Uniform Pressure Theory, you need Collar Friction Torque for Power Screw (T_c), Outer Diameter of Collar (D_o), Inner Diameter of Collar (D_i) & Coefficient of Friction for Collar (μ_collar). With our tool, you need to enter the respective value for Collar Friction Torque for Power Screw, Outer Diameter of Collar, Inner Diameter of Collar & Coefficient of Friction for 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 Load on screw?

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

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

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