Torque Required in Lifting Load with Trapezoidal Threaded Screw Calculator

✖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%
✖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%
✖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%
✖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%

✖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 Required in Lifting Load with Trapezoidal Threaded Screw [Mt_li]

⎘ Copy

👎

Formula

Reset

👍

Download Power Screws Formulas PDF PDF Image

Torque Required in Lifting Load with Trapezoidal Threaded Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque for lifting load = 0.5*Mean Diameter of Power Screw*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))))
Mt_li = 0.5*d_m*W*(((μ*sec((0.2618)))+tan(α))/(1-(μ*sec((0.2618))*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

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Mean Diameter of Power Screw: 46 Millimeter --> 0.046 Meter (Check conversion here)
Load on screw: 1700 Newton --> 1700 Newton No Conversion Required
Coefficient of friction at screw thread: 0.15 --> No Conversion Required
Helix angle of screw: 4.5 Degree --> 0.0785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mt_li = 0.5*d_m*W*(((μ*sec((0.2618)))+tan(α))/(1-(μ*sec((0.2618))*tan(α)))) --> 0.5*0.046*1700*(((0.15*sec((0.2618)))+tan(0.0785398163397301))/(1-(0.15*sec((0.2618))*tan(0.0785398163397301))))

Evaluating ... ...

Mt_li = 9.26233402062409

STEP 3: Convert Result to Output's Unit

9.26233402062409 Newton Meter -->9262.33402062409 Newton Millimeter (Check conversion here)

FINAL ANSWER

9262.33402062409 ≈ 9262.334 Newton Millimeter <-- Torque for lifting load

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Machine Design » Power Screws » Trapezoidal Thread » Torque Required in Lifting Load with Trapezoidal Threaded Screw

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 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)))

Torque Required in Lifting Load with Trapezoidal Threaded Screw Formula

Define a Trapezoidal Thread Screw?

Trapezoidal screws are also lead screws that use a trapezoidal thread form, but trapezoidal screws have a thread angle of 30° and are manufactured in metric dimensions. The size of a trapezoidal screw is designated by the screw shaft diameter and the pitch of the screw threads.

How to Calculate Torque Required in Lifting Load with Trapezoidal Threaded Screw?

Torque Required in Lifting Load with Trapezoidal Threaded Screw calculator uses Torque for lifting load = 0.5*Mean Diameter of Power Screw*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)))) to calculate the Torque for lifting load, Torque Required in Lifting Load with Trapezoidal Threaded Screw formula is defined as the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force, or turning effect that is to be applied onto the object or the part to lift the load onto the power screw. Torque for lifting load is denoted by Mt_li symbol.

How to calculate Torque Required in Lifting Load with Trapezoidal Threaded Screw using this online calculator? To use this online calculator for Torque Required in Lifting Load with Trapezoidal Threaded Screw, enter Mean Diameter of Power Screw (d_m), Load on screw (W), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) and hit the calculate button. Here is how the Torque Required in Lifting Load with Trapezoidal Threaded Screw calculation can be explained with given input values -> 9.3E+6 = 0.5*0.046*1700*(((0.15*sec((0.2618)))+tan(0.0785398163397301))/(1-(0.15*sec((0.2618))*tan(0.0785398163397301)))).

FAQ

What is Torque Required in Lifting Load with Trapezoidal Threaded Screw?

Torque Required in Lifting Load with Trapezoidal Threaded Screw formula is defined as the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force, or turning effect that is to be applied onto the object or the part to lift the load onto the power screw and is represented as Mt_li = 0.5*d_m*W*(((μ*sec((0.2618)))+tan(α))/(1-(μ*sec((0.2618))*tan(α)))) or Torque for lifting load = 0.5*Mean Diameter of Power Screw*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)))). 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, Load on screw is defined as the weight (force) of the body that is acted upon the screw threads, 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 is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.

How to calculate Torque Required in Lifting Load with Trapezoidal Threaded Screw?

Torque Required in Lifting Load with Trapezoidal Threaded Screw formula is defined as the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force, or turning effect that is to be applied onto the object or the part to lift the load onto the power screw is calculated using Torque for lifting load = 0.5*Mean Diameter of Power Screw*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)))). To calculate Torque Required in Lifting Load with Trapezoidal Threaded Screw, you need Mean Diameter of Power Screw (d_m), Load on screw (W), Coefficient of friction at screw thread (μ) & Helix angle of screw (α). With our tool, you need to enter the respective value for Mean Diameter of Power Screw, Load on screw, Coefficient of friction at screw thread & 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.

Home

FREE PDFs

🔍 Search