Coefficient of Friction of Screw given Torque Required in Lifting Load with Trapezoidal Thread Calculator

✖Torque for lifting load is described as the turning effect of force on the axis of rotation that is required in lifting the load.ⓘ Torque for lifting load [Mt_li]			+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 given Torque Required in Lifting Load with Trapezoidal Thread [μ]

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Coefficient of Friction of Screw given Torque Required in Lifting Load with Trapezoidal Thread Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of friction at screw thread = (2*Torque for lifting load-Load on screw*Mean Diameter of Power Screw*tan(Helix angle of screw))/(sec(0.2618)*(Load on screw*Mean Diameter of Power Screw+2*Torque for lifting load*tan(Helix angle of screw)))
μ = (2*Mt_li-W*d_m*tan(α))/(sec(0.2618)*(W*d_m+2*Mt_li*tan(α)))
This formula uses 2 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)
sec - Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine., sec(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 lifting load - (Measured in Newton Meter) - Torque for lifting load is described as the turning effect of force on the axis of rotation that is required in lifting 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 lifting load: 9265 Newton Millimeter --> 9.265 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_li-W*d_m*tan(α))/(sec(0.2618)*(W*d_m+2*Mt_li*tan(α))) --> (2*9.265-1700*0.046*tan(0.0785398163397301))/(sec(0.2618)*(1700*0.046+2*9.265*tan(0.0785398163397301)))

Evaluating ... ...

μ = 0.150063864380205

STEP 3: Convert Result to Output's Unit

0.150063864380205 --> No Conversion Required

FINAL ANSWER

0.150063864380205 ≈ 0.150064 <-- Coefficient of friction at screw thread

(Calculation completed in 00.004 seconds)

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< Trapezoidal Thread Calculators

Helix Angle of Screw given Effort Required in Lifting Load with Trapezoidal Threaded Screw

LaTeX Go Helix angle of screw = atan((Effort in lifting load-Load on screw*Coefficient of friction at screw thread*sec(0.2618))/(Load on screw+(Effort in lifting load*Coefficient of friction at screw thread*sec(0.2618))))

Load on Screw given Effort Required in Lifting Load with Trapezoidal Threaded Screw

LaTeX Go Load on screw = Effort in lifting load/((Coefficient of friction at screw thread*sec((0.2618))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw)))

Effort Required in Lifting Load with Trapezoidal Threaded Screw

LaTeX Go Effort in lifting load = Load on screw*((Coefficient of friction at screw thread*sec((0.2618))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw)))

Coefficient of Friction of Screw given Effort for Trapezoidal Threaded Screw

LaTeX Go Coefficient of friction at screw thread = (Effort in lifting load-(Load on screw*tan(Helix angle of screw)))/(sec(0.2618)*(Load on screw+Effort in lifting load*tan(Helix angle of screw)))

Coefficient of Friction of Screw given Torque Required in Lifting Load with Trapezoidal Thread Formula

LaTeX Go

Define Coefficient of Friction?

Coefficient of Friction is defined as 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

How to Calculate Coefficient of Friction of Screw given Torque Required in Lifting Load with Trapezoidal Thread?

Coefficient of Friction of Screw given Torque Required in Lifting Load with Trapezoidal Thread calculator uses Coefficient of friction at screw thread = (2*Torque for lifting load-Load on screw*Mean Diameter of Power Screw*tan(Helix angle of screw))/(sec(0.2618)*(Load on screw*Mean Diameter of Power Screw+2*Torque for lifting load*tan(Helix angle of screw))) to calculate the Coefficient of friction at screw thread, Coefficient of Friction of Screw given Torque Required in Lifting Load with Trapezoidal Thread formula is defined as 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. Coefficient of friction at screw thread is denoted by μ symbol.

How to calculate Coefficient of Friction of Screw given Torque Required in Lifting Load with Trapezoidal Thread using this online calculator? To use this online calculator for Coefficient of Friction of Screw given Torque Required in Lifting Load with Trapezoidal Thread, enter Torque for lifting load (Mt_li), 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 given Torque Required in Lifting Load with Trapezoidal Thread calculation can be explained with given input values -> 0.150064 = (2*9.265-1700*0.046*tan(0.0785398163397301))/(sec(0.2618)*(1700*0.046+2*9.265*tan(0.0785398163397301))).

FAQ

What is Coefficient of Friction of Screw given Torque Required in Lifting Load with Trapezoidal Thread?

Coefficient of Friction of Screw given Torque Required in Lifting Load with Trapezoidal Thread formula is defined as 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 and is represented as μ = (2*Mt_li-W*d_m*tan(α))/(sec(0.2618)*(W*d_m+2*Mt_li*tan(α))) or Coefficient of friction at screw thread = (2*Torque for lifting load-Load on screw*Mean Diameter of Power Screw*tan(Helix angle of screw))/(sec(0.2618)*(Load on screw*Mean Diameter of Power Screw+2*Torque for lifting load*tan(Helix angle of screw))). Torque for lifting load is described as the turning effect of force on the axis of rotation that is required in lifting 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 given Torque Required in Lifting Load with Trapezoidal Thread?

Coefficient of Friction of Screw given Torque Required in Lifting Load with Trapezoidal Thread formula is defined as 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 is calculated using Coefficient of friction at screw thread = (2*Torque for lifting load-Load on screw*Mean Diameter of Power Screw*tan(Helix angle of screw))/(sec(0.2618)*(Load on screw*Mean Diameter of Power Screw+2*Torque for lifting load*tan(Helix angle of screw))). To calculate Coefficient of Friction of Screw given Torque Required in Lifting Load with Trapezoidal Thread, you need Torque for lifting load (Mt_li), 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 lifting 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 lifting load, Load on screw, Mean Diameter of Power Screw & Helix angle of screw. We can use 3 other way(s) to calculate the same, which is/are as follows -

Coefficient of friction at screw thread = (Effort in lifting load-(Load on screw*tan(Helix angle of screw)))/(sec(0.2618)*(Load on screw+Effort in lifting load*tan(Helix angle of screw)))
Coefficient of friction at screw thread = (Effort in lowering load+Load on screw*tan(Helix angle of screw))/(Load on screw*sec(0.2618)-Effort in lowering load*sec(0.2618)*tan(Helix angle of screw))
Coefficient of friction at screw thread = (2*Torque for lowering load+Load on screw*Mean Diameter of Power Screw*tan(Helix angle of screw))/(sec(0.2618)*(Load on screw*Mean Diameter of Power Screw-2*Torque for lowering load*tan(Helix angle of screw)))

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