Torque Required in Lifting Load with Acme Threaded Power 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 Acme Threaded Power Screw [Mt_li]

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Torque Required in Lifting Load with Acme Threaded Power 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((0.253))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw)))
Mt_li = 0.5*d_m*W*((μ*sec((0.253))+tan(α))/(1-μ*sec((0.253))*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((0.253))+tan(α))/(1-μ*sec((0.253))*tan(α))) --> 0.5*0.046*1700*((0.15*sec((0.253))+tan(0.0785398163397301))/(1-0.15*sec((0.253))*tan(0.0785398163397301)))

Evaluating ... ...

Mt_li = 9.2478460232225

STEP 3: Convert Result to Output's Unit

9.2478460232225 Newton Meter -->9247.8460232225 Newton Millimeter (Check conversion here)

FINAL ANSWER

9247.8460232225 ≈ 9247.846 Newton Millimeter <-- Torque for lifting load

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< Acme Thread Calculators

Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw

Go Helix angle of screw = atan((2*Torque for lifting load-Load on screw*Mean Diameter of Power Screw*Coefficient of friction at screw thread*sec(0.253*pi/180))/(Load on screw*Mean Diameter of Power Screw+2*Torque for lifting load*Coefficient of friction at screw thread*sec(0.253*pi/180)))

Coefficient of Friction of Power Screw given Torque Required in Lifting Load with Acme Thread

Go 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(0.253)*(Load on screw*Mean Diameter of Power Screw+2*Torque for lifting load*tan(Helix angle of screw)))

Torque Required in Lifting Load with Acme Threaded Power Screw

Go Torque for lifting load = 0.5*Mean Diameter of Power Screw*Load on screw*((Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw)))

Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw

Go Load on screw = 2*Torque for lifting load*(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Mean Diameter of Power Screw*(Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw)))

Torque Required in Lifting Load with Acme Threaded Power Screw Formula

Define Acme Thread Screw?

Acme screw threads are manufactured for assemblies that require the carrying of heavy loads. Acme screw threads were designed to replace the Square thread, which is difficult to manufacture. Chapter 6 grooving and threading

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

Torque Required in Lifting Load with Acme Threaded Power Screw calculator uses Torque for lifting load = 0.5*Mean Diameter of Power Screw*Load on screw*((Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))) to calculate the Torque for lifting load, Torque Required in Lifting Load with Acme Threaded Power 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 Acme Threaded Power Screw using this online calculator? To use this online calculator for Torque Required in Lifting Load with Acme Threaded Power 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 Acme Threaded Power Screw calculation can be explained with given input values -> 9.2E+6 = 0.5*0.046*1700*((0.15*sec((0.253))+tan(0.0785398163397301))/(1-0.15*sec((0.253))*tan(0.0785398163397301))).

FAQ

What is Torque Required in Lifting Load with Acme Threaded Power Screw?

Torque Required in Lifting Load with Acme Threaded Power 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((0.253))+tan(α))/(1-μ*sec((0.253))*tan(α))) or Torque for lifting load = 0.5*Mean Diameter of Power Screw*Load on screw*((Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.253))*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 Acme Threaded Power Screw?

Torque Required in Lifting Load with Acme Threaded Power 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((0.253))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))). To calculate Torque Required in Lifting Load with Acme Threaded Power 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.

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