Coefficient of Friction of Screw Thread given Torque Required in Lowering Load Calculator

✖Torque for lowering load is described as the turning effect of force on the axis of rotation that is required in lowering the load.ⓘ Torque for lowering load [Mt_lo]			+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%
✖Mean Diameter of Power Screw is the average diameter of the bearing surface - or more accurately, twice the average distance from the centreline of the thread to the bearing surface.ⓘ Mean Diameter of Power Screw [d_m]			+10% -10%
✖Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.ⓘ Helix angle of screw [α]			+10% -10%

✖Coefficient of friction at screw thread is the ratio defining the force that resists the motion of the nut in relation to the threads in contact with it.ⓘ Coefficient of Friction of Screw Thread given Torque Required in Lowering Load [μ]

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Formula

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Coefficient of Friction of Screw Thread given Torque Required in Lowering Load

Formula

`"μ" = (2*"Mt"_{"lo"}+"W"*"d"_{"m"}*tan("α"))/("W"*"d"_{"m"}-2*"Mt"_{"lo"}*tan("α"))`

Example

`"0.15533"=(2*"2960N*mm"+"1700N"*"46mm"*tan("4.5°"))/("1700N"*"46mm"-2*"2960N*mm"*tan("4.5°"))`

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Coefficient of Friction of Screw Thread given Torque Required in Lowering Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of friction at screw thread = (2*Torque for lowering load+Load on screw*Mean Diameter of Power Screw*tan(Helix angle of screw))/(Load on screw*Mean Diameter of Power Screw-2*Torque for lowering load*tan(Helix angle of screw))
μ = (2*Mt_lo+W*d_m*tan(α))/(W*d_m-2*Mt_lo*tan(α))
This formula uses 1 Functions, 5 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Coefficient of friction at screw thread - Coefficient of friction at screw thread is the ratio defining the force that resists the motion of the nut in relation to the threads in contact with it.
Torque for lowering load - (Measured in Newton Meter) - Torque for lowering load is described as the turning effect of force on the axis of rotation that is required in lowering the load.
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.
Mean Diameter of Power Screw - (Measured in Meter) - Mean Diameter of Power Screw is the average diameter of the bearing surface - or more accurately, twice the average distance from the centreline of the thread to the bearing surface.
Helix angle of screw - (Measured in Radian) - Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.

STEP 1: Convert Input(s) to Base Unit

Torque for lowering load: 2960 Newton Millimeter --> 2.96 Newton Meter (Check conversion here)
Load on screw: 1700 Newton --> 1700 Newton No Conversion Required
Mean Diameter of Power Screw: 46 Millimeter --> 0.046 Meter (Check conversion here)
Helix angle of screw: 4.5 Degree --> 0.0785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (2*Mt_lo+W*d_m*tan(α))/(W*d_m-2*Mt_lo*tan(α)) --> (2*2.96+1700*0.046*tan(0.0785398163397301))/(1700*0.046-2*2.96*tan(0.0785398163397301))

Evaluating ... ...

μ = 0.155330487707809

STEP 3: Convert Result to Output's Unit

0.155330487707809 --> No Conversion Required

FINAL ANSWER

0.155330487707809 ≈ 0.15533 <-- Coefficient of friction at screw thread

(Calculation completed in 00.004 seconds)

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< 9 Torque Requirement in Lowering Load using Square threaded Screws Calculators

Coefficient of Friction of Screw Thread given Torque Required in Lowering Load

Go Coefficient of friction at screw thread = (2*Torque for lowering load+Load on screw*Mean Diameter of Power Screw*tan(Helix angle of screw))/(Load on screw*Mean Diameter of Power Screw-2*Torque for lowering load*tan(Helix angle of screw))

Helix Angle of Power Screw given Torque Required in Lowering Load

Go Helix angle of screw = atan((Coefficient of friction at screw thread*Load on screw*Mean Diameter of Power Screw-(2*Torque for lowering load))/(2*Torque for lowering load*Coefficient of friction at screw thread+(Load on screw*Mean Diameter of Power Screw)))

Mean Diameter of Power Screw given Torque Required in Lowering Load

Go Mean Diameter of Power Screw = Torque for lowering load/(0.5*Load on screw*((Coefficient of friction at screw thread-tan(Helix angle of screw))/(1+Coefficient of friction at screw thread*tan(Helix angle of screw))))

Load on power Screw given Torque Required in Lowering Load

Go Load on screw = Torque for lowering load/(0.5*Mean Diameter of Power Screw*((Coefficient of friction at screw thread-tan(Helix angle of screw))/(1+Coefficient of friction at screw thread*tan(Helix angle of screw))))

Torque Required in Lowering Load on Power Screw

Go Torque for lowering load = 0.5*Load on screw*Mean Diameter of Power Screw*((Coefficient of friction at screw thread-tan(Helix angle of screw))/(1+Coefficient of friction at screw thread*tan(Helix angle of screw)))

Coefficient of Friction of Screw Thread given Load

Go Coefficient of friction at screw thread = (Effort in lowering load+tan(Helix angle of screw)*Load on screw)/(Load on screw-Effort in lowering load*tan(Helix angle of screw))

Helix Angle of Power Screw given Effort Required in Lowering Load

Go Helix angle of screw = atan((Load on screw*Coefficient of friction at screw thread-Effort in lowering load)/(Coefficient of friction at screw thread*Effort in lowering load+Load on screw))

Load on power Screw given Effort Required in Lowering Load

Go Load on screw = Effort in lowering load/((Coefficient of friction at screw thread-tan(Helix angle of screw))/(1+Coefficient of friction at screw thread*tan(Helix angle of screw)))

Effort Required in Lowering Load

Go Effort in lowering load = Load on screw*((Coefficient of friction at screw thread-tan(Helix angle of screw))/(1+Coefficient of friction at screw thread*tan(Helix angle of screw)))

Coefficient of Friction of Screw Thread given Torque Required in Lowering Load Formula

Define Coefficient of Frition?

Coefficient of friction, ratio of the frictional force resisting the motion of two surfaces in contact to the normal force pressing the two surfaces together. It is usually symbolized by the Greek letter mu (μ).

How to Calculate Coefficient of Friction of Screw Thread given Torque Required in Lowering Load?

Coefficient of Friction of Screw Thread given Torque Required in Lowering Load calculator uses Coefficient of friction at screw thread = (2*Torque for lowering load+Load on screw*Mean Diameter of Power Screw*tan(Helix angle of screw))/(Load on screw*Mean Diameter of Power Screw-2*Torque for lowering load*tan(Helix angle of screw)) to calculate the Coefficient of friction at screw thread, Coefficient of Friction of Screw Thread given Torque Required in Lowering Load formula is defined as the ratio of the force required to move two sliding surfaces over each other, and the force holding them together. It is the ratio of the tangential force that is needed to start or to maintain uniform relative motion between two contacting surfaces to the perpendicular force holding them in contact, the ratio usually being larger for starting than for moving friction. Coefficient of friction at screw thread is denoted by μ symbol.

How to calculate Coefficient of Friction of Screw Thread given Torque Required in Lowering Load using this online calculator? To use this online calculator for Coefficient of Friction of Screw Thread given Torque Required in Lowering Load, enter Torque for lowering load (Mt_lo), Load on screw (W), Mean Diameter of Power Screw (d_m) & Helix angle of screw (α) and hit the calculate button. Here is how the Coefficient of Friction of Screw Thread given Torque Required in Lowering Load calculation can be explained with given input values -> 0.15533 = (2*2.96+1700*0.046*tan(0.0785398163397301))/(1700*0.046-2*2.96*tan(0.0785398163397301)).

FAQ

What is Coefficient of Friction of Screw Thread given Torque Required in Lowering Load?

Coefficient of Friction of Screw Thread given Torque Required in Lowering Load formula is defined as the ratio of the force required to move two sliding surfaces over each other, and the force holding them together. It is the ratio of the tangential force that is needed to start or to maintain uniform relative motion between two contacting surfaces to the perpendicular force holding them in contact, the ratio usually being larger for starting than for moving friction and is represented as μ = (2*Mt_lo+W*d_m*tan(α))/(W*d_m-2*Mt_lo*tan(α)) or Coefficient of friction at screw thread = (2*Torque for lowering load+Load on screw*Mean Diameter of Power Screw*tan(Helix angle of screw))/(Load on screw*Mean Diameter of Power Screw-2*Torque for lowering load*tan(Helix angle of screw)). Torque for lowering load is described as the turning effect of force on the axis of rotation that is required in lowering the load, Load on screw is defined as the weight (force) of the body that is acted upon the screw threads, Mean Diameter of Power Screw is the average diameter of the bearing surface - or more accurately, twice the average distance from the centreline of the thread to the bearing surface & Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.

How to calculate Coefficient of Friction of Screw Thread given Torque Required in Lowering Load?

Coefficient of Friction of Screw Thread given Torque Required in Lowering Load formula is defined as the ratio of the force required to move two sliding surfaces over each other, and the force holding them together. It is the ratio of the tangential force that is needed to start or to maintain uniform relative motion between two contacting surfaces to the perpendicular force holding them in contact, the ratio usually being larger for starting than for moving friction is calculated using Coefficient of friction at screw thread = (2*Torque for lowering load+Load on screw*Mean Diameter of Power Screw*tan(Helix angle of screw))/(Load on screw*Mean Diameter of Power Screw-2*Torque for lowering load*tan(Helix angle of screw)). To calculate Coefficient of Friction of Screw Thread given Torque Required in Lowering Load, you need Torque for lowering load (Mt_lo), Load on screw (W), Mean Diameter of Power Screw (d_m) & Helix angle of screw (α). With our tool, you need to enter the respective value for Torque for lowering load, Load on screw, Mean Diameter of Power Screw & Helix angle of screw 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 Coefficient of friction at screw thread?

In this formula, Coefficient of friction at screw thread uses Torque for lowering load, Load on screw, Mean Diameter of Power Screw & Helix angle of screw. We can use 1 other way(s) to calculate the same, which is/are as follows -

Coefficient of friction at screw thread = (Effort in lowering load+tan(Helix angle of screw)*Load on screw)/(Load on screw-Effort in lowering load*tan(Helix angle of screw))

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