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

STEP 0: Pre-Calculation Summary
Formula Used
Load on screw = (4*Collar Friction Torque for Power Screw)/(Coefficient of Friction for Collar*((Outer Diameter of Collar)+(Inner Diameter of Collar)))
W = (4*Tc)/(μcollar*((Do)+(Di)))
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.
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.
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
Collar Friction Torque for Power Screw: 10000 Newton Millimeter --> 10 Newton Meter (Check conversion here)
Coefficient of Friction for Collar: 0.16 --> No Conversion Required
Outer Diameter of Collar: 100 Millimeter --> 0.1 Meter (Check conversion here)
Inner Diameter of Collar: 60 Millimeter --> 0.06 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = (4*Tc)/(μcollar*((Do)+(Di))) --> (4*10)/(0.16*((0.1)+(0.06)))
Evaluating ... ...
W = 1562.5
STEP 3: Convert Result to Output's Unit
1562.5 Newton --> No Conversion Required
FINAL ANSWER
1562.5 Newton <-- Load on screw
(Calculation completed in 00.020 seconds)

Credits

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 Wear Theory Formula

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

Define the load in collar friction?

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 Wear Theory?

Load on Screw given Collar Friction Torque according to Uniform Wear Theory calculator uses Load on screw = (4*Collar Friction Torque for Power Screw)/(Coefficient of Friction for Collar*((Outer Diameter of Collar)+(Inner Diameter of Collar))) to calculate the Load on screw, Load on Screw given Collar Friction Torque according to Uniform Wear Theory is the load or the force which is acting onto the screw. Load on screw is denoted by W symbol.

How to calculate Load on Screw given Collar Friction Torque according to Uniform Wear Theory using this online calculator? To use this online calculator for Load on Screw given Collar Friction Torque according to Uniform Wear Theory, enter Collar Friction Torque for Power Screw (Tc), Coefficient of Friction for Collar collar), Outer Diameter of Collar (Do) & Inner Diameter of Collar (Di) and hit the calculate button. Here is how the Load on Screw given Collar Friction Torque according to Uniform Wear Theory calculation can be explained with given input values -> 1562.5 = (4*10)/(0.16*((0.1)+(0.06))).

FAQ

What is Load on Screw given Collar Friction Torque according to Uniform Wear Theory?
Load on Screw given Collar Friction Torque according to Uniform Wear Theory is the load or the force which is acting onto the screw and is represented as W = (4*Tc)/(μcollar*((Do)+(Di))) or Load on screw = (4*Collar Friction Torque for Power Screw)/(Coefficient of Friction for Collar*((Outer Diameter of Collar)+(Inner Diameter of Collar))). 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 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, 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 Load on Screw given Collar Friction Torque according to Uniform Wear Theory?
Load on Screw given Collar Friction Torque according to Uniform Wear Theory is the load or the force which is acting onto the screw is calculated using Load on screw = (4*Collar Friction Torque for Power Screw)/(Coefficient of Friction for Collar*((Outer Diameter of Collar)+(Inner Diameter of Collar))). To calculate Load on Screw given Collar Friction Torque according to Uniform Wear Theory, you need Collar Friction Torque for Power Screw (Tc), Coefficient of Friction for Collar collar), Outer Diameter of Collar (Do) & Inner Diameter of Collar (Di). With our tool, you need to enter the respective value for Collar Friction Torque for Power Screw, Coefficient of Friction for Collar, 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.
How many ways are there to calculate Load on screw?
In this formula, Load on screw uses Collar Friction Torque for Power Screw, Coefficient of Friction for Collar, Outer Diameter of Collar & Inner Diameter of Collar. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)))
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