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*Tc*((Do^2)-(Di^2)))/(μcollar*((Do^3)-(Di^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*Tc*((Do^2)-(Di^2)))/(μcollar*((Do^3)-(Di^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 00.004 seconds)

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National Institute of Technology (NIT), Srinagar
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Collar Friction Calculators

Collar Friction Torque for Screw according to Uniform Pressure Theory
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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)))
Load on Screw given Collar Friction Torque according to Uniform Wear Theory
​ LaTeX ​ Go Load on screw = (4*Collar Friction Torque for Power Screw)/(Coefficient of Friction for Collar*((Outer Diameter of Collar)+(Inner Diameter of Collar)))

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

​LaTeX ​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)))
W = (3*Tc*((Do^2)-(Di^2)))/(μcollar*((Do^3)-(Di^3)))

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 (Tc), Outer Diameter of Collar (Do), Inner Diameter of Collar (Di) & Coefficient of Friction for Collar 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*Tc*((Do^2)-(Di^2)))/(μcollar*((Do^3)-(Di^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 (Tc), Outer Diameter of Collar (Do), Inner Diameter of Collar (Di) & Coefficient of Friction for Collar 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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