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%
✖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 at screw thread [μ]			+10% -10%

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

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Efficiency of Trapezoidal Threaded Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency of power screw = tan(Helix angle of screw)*(1-Coefficient of friction at screw thread*tan(Helix angle of screw)*sec(0.2618))/(Coefficient of friction at screw thread*sec(0.2618)+tan(Helix angle of screw))
η = tan(α)*(1-μ*tan(α)*sec(0.2618))/(μ*sec(0.2618)+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

Efficiency of power screw - Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Helix angle of screw: 4.5 Degree --> 0.0785398163397301 Radian (Check conversion here)
Coefficient of friction at screw thread: 0.15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = tan(α)*(1-μ*tan(α)*sec(0.2618))/(μ*sec(0.2618)+tan(α)) --> tan(0.0785398163397301)*(1-0.15*tan(0.0785398163397301)*sec(0.2618))/(0.15*sec(0.2618)+tan(0.0785398163397301))

Evaluating ... ...

η = 0.332231242145882

STEP 3: Convert Result to Output's Unit

0.332231242145882 --> No Conversion Required

FINAL ANSWER

0.332231242145882 ≈ 0.332231 <-- Efficiency of power screw

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Power Screws » Trapezoidal Thread » Efficiency of Trapezoidal Threaded Screw

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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)))

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 Efficiency of Trapezoidal Threaded Screw?

Efficiency of Trapezoidal Threaded Screw calculator uses Efficiency of power screw = tan(Helix angle of screw)*(1-Coefficient of friction at screw thread*tan(Helix angle of screw)*sec(0.2618))/(Coefficient of friction at screw thread*sec(0.2618)+tan(Helix angle of screw)) to calculate the Efficiency of power screw, The Efficiency of Trapezoidal Threaded Screw formula is defined as a way of describing the amount of useful output a process or machine can generate as a percentage of the input required to make it go. Efficiency of power screw is denoted by η symbol.

How to calculate Efficiency of Trapezoidal Threaded Screw using this online calculator? To use this online calculator for Efficiency of Trapezoidal Threaded Screw, enter Helix angle of screw (α) & Coefficient of friction at screw thread (μ) and hit the calculate button. Here is how the Efficiency of Trapezoidal Threaded Screw calculation can be explained with given input values -> 0.332231 = tan(0.0785398163397301)*(1-0.15*tan(0.0785398163397301)*sec(0.2618))/(0.15*sec(0.2618)+tan(0.0785398163397301)).

FAQ

What is Efficiency of Trapezoidal Threaded Screw?

The Efficiency of Trapezoidal Threaded Screw formula is defined as a way of describing the amount of useful output a process or machine can generate as a percentage of the input required to make it go and is represented as η = tan(α)*(1-μ*tan(α)*sec(0.2618))/(μ*sec(0.2618)+tan(α)) or Efficiency of power screw = tan(Helix angle of screw)*(1-Coefficient of friction at screw thread*tan(Helix angle of screw)*sec(0.2618))/(Coefficient of friction at screw thread*sec(0.2618)+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 & 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.

How to calculate Efficiency of Trapezoidal Threaded Screw?

The Efficiency of Trapezoidal Threaded Screw formula is defined as a way of describing the amount of useful output a process or machine can generate as a percentage of the input required to make it go is calculated using Efficiency of power screw = tan(Helix angle of screw)*(1-Coefficient of friction at screw thread*tan(Helix angle of screw)*sec(0.2618))/(Coefficient of friction at screw thread*sec(0.2618)+tan(Helix angle of screw)). To calculate Efficiency of Trapezoidal Threaded Screw, you need Helix angle of screw (α) & Coefficient of friction at screw thread (μ). With our tool, you need to enter the respective value for Helix angle of screw & Coefficient of friction at screw thread and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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