Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw Calculator

✖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%
✖Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.ⓘ Efficiency of power screw [η]			+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 Efficiency of Trapezoidal Threaded Screw [μ]

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Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of friction at screw thread = tan(Helix angle of screw)*(1-Efficiency of power screw)/(sec(0.2618)*(Efficiency of power screw+tan(Helix angle of screw)*tan(Helix angle of screw)))
μ = tan(α)*(1-η)/(sec(0.2618)*(η+tan(α)*tan(α)))
This formula uses 2 Functions, 3 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.
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.
Efficiency of power screw - Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.

STEP 1: Convert Input(s) to Base Unit

Helix angle of screw: 4.5 Degree --> 0.0785398163397301 Radian (Check conversion here)
Efficiency of power screw: 0.35 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = tan(α)*(1-η)/(sec(0.2618)*(η+tan(α)*tan(α))) --> tan(0.0785398163397301)*(1-0.35)/(sec(0.2618)*(0.35+tan(0.0785398163397301)*tan(0.0785398163397301)))

Evaluating ... ...

μ = 0.138724978259968

STEP 3: Convert Result to Output's Unit

0.138724978259968 --> No Conversion Required

FINAL ANSWER

0.138724978259968 ≈ 0.138725 <-- 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

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

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

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

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 Efficiency of Trapezoidal Threaded Screw Formula

What are the main factors that determine Screw Efficiency?

Two main factors play a part in determining a screw’s efficiency: the lead angle of the screw and the amount of friction in the screw assembly. Efficiency is the primary indicator of whether a screw will back drive or not the higher the efficiency, the more likely the screw is to back drive when an axial force is applied.

How to Calculate Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw?

Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw calculator uses Coefficient of friction at screw thread = tan(Helix angle of screw)*(1-Efficiency of power screw)/(sec(0.2618)*(Efficiency of power screw+tan(Helix angle of screw)*tan(Helix angle of screw))) to calculate the Coefficient of friction at screw thread, Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw 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 Efficiency of Trapezoidal Threaded Screw using this online calculator? To use this online calculator for Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw, enter Helix angle of screw (α) & Efficiency of power screw (η) and hit the calculate button. Here is how the Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw calculation can be explained with given input values -> 0.138725 = tan(0.0785398163397301)*(1-0.35)/(sec(0.2618)*(0.35+tan(0.0785398163397301)*tan(0.0785398163397301))).

FAQ

What is Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw?

Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw 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 = tan(α)*(1-η)/(sec(0.2618)*(η+tan(α)*tan(α))) or Coefficient of friction at screw thread = tan(Helix angle of screw)*(1-Efficiency of power screw)/(sec(0.2618)*(Efficiency of power screw+tan(Helix angle of screw)*tan(Helix angle of screw))). Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix & Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.

How to calculate Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw?

Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw 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 = tan(Helix angle of screw)*(1-Efficiency of power screw)/(sec(0.2618)*(Efficiency of power screw+tan(Helix angle of screw)*tan(Helix angle of screw))). To calculate Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw, you need Helix angle of screw (α) & Efficiency of power screw (η). With our tool, you need to enter the respective value for Helix angle of screw & Efficiency of power 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 Helix angle of screw & Efficiency of power 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 = (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)))
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))

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