Torque Required to Lift Load given Load Calculator

✖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%
✖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 to Lift Load given Load [Mt_li]

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Formula

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Torque Required to Lift Load given Load

Formula

`"Mt"_{"li"} = ("W"*"d"_{"m"}/2)*(("μ"+tan("α"))/(1-"μ"*tan("α")))`

Example

`"9049.063N*mm"=("1700N"*"46mm"/2)*(("0.15"+tan("4.5°"))/(1-"0.15"*tan("4.5°")))`

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Torque Required to Lift Load given Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque for lifting load = (Load on screw*Mean Diameter of Power Screw/2)*((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))
Mt_li = (W*d_m/2)*((μ+tan(α))/(1-μ*tan(α)))
This formula uses 1 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)

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.
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.
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

Load on screw: 1700 Newton --> 1700 Newton No Conversion Required
Mean Diameter of Power Screw: 46 Millimeter --> 0.046 Meter (Check conversion here)
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 = (W*d_m/2)*((μ+tan(α))/(1-μ*tan(α))) --> (1700*0.046/2)*((0.15+tan(0.0785398163397301))/(1-0.15*tan(0.0785398163397301)))

Evaluating ... ...

Mt_li = 9.04906324522647

STEP 3: Convert Result to Output's Unit

9.04906324522647 Newton Meter -->9049.06324522647 Newton Millimeter (Check conversion here)

FINAL ANSWER

9049.06324522647 ≈ 9049.063 Newton Millimeter <-- Torque for lifting load

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Power Screws » Torque Requirement in Lifting Load using Square Threaded Screw » Torque Required to Lift Load given Load

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Osmania University (OU), Hyderabad

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< 16 Torque Requirement in Lifting Load using Square Threaded Screw Calculators

Coefficient of Friction of Power Screw given Torque Required to Lift Load

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

Helix Angle of Power Screw given Torque Required to Lift Load

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)/(2*Torque for lifting load*Coefficient of friction at screw thread+Load on screw*Mean Diameter of Power Screw))

Load on Power Screw given Torque Required to Lift Load

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

Torque Required to Lift Load given Load

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

Efficiency of Square Threaded Power Screw

Go Efficiency of power screw = tan(Helix angle of screw)/((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))

Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw

Go Coefficient of friction at screw thread = (tan(Helix angle of screw)*(1-Efficiency of power screw))/(tan(Helix angle of screw)*tan(Helix angle of screw)+Efficiency of power screw)

Coefficient of Friction of Power Screw given Effort Required to Lift Load

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

Helix Angle of Power Screw given Effort Required to Lift Load

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

Load on Power Screw given Effort Required to Lift Load

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

Effort Required in Lifting load using Power Screw

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

Maximum Efficiency of Square Threaded Screw

Go Maximum Efficiency of Power Screw = (1-sin(atan(Coefficient of friction at screw thread)))/(1+sin(atan(Coefficient of friction at screw thread)))

External Torque required to raise Load given Efficiency

Go Torsional Moment on Screw = Axial load on screw*Lead of Power Screw/(2*pi*Efficiency of power screw)

Load on Screw given Overall Efficiency

Go Axial load on screw = 2*pi*Torsional Moment on Screw*Efficiency of power screw/Lead of Power Screw

Effort Required to Lift Load given Torque Required to Lift Load

Go Effort in lifting load = 2*Torque for lifting load/Mean Diameter of Power Screw

Mean Diameter of Power Screw given Torque Required to Lift Load

Go Mean Diameter of Power Screw = 2*Torque for lifting load/Effort in lifting load

Torque Required to Lift Load given Effort

Go Torque for lifting load = Effort in lifting load*Mean Diameter of Power Screw/2

Torque Required to Lift Load given Load Formula

Define Helix Angle?

In mechanical engineering, a helix angle is the angle between any helix and an axial line on its right, circular cylinder or cone. Common applications are screws, helical gears, and worm gears.The helix angle is crucial in mechanical engineering applications that involve power transfer and motion conversion. Some examples are outlined below, though its use is much more widely spread.

How to Calculate Torque Required to Lift Load given Load?

Torque Required to Lift Load given Load calculator uses Torque for lifting load = (Load on screw*Mean Diameter of Power Screw/2)*((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw))) to calculate the Torque for lifting load, Torque Required to Lift Load given Load 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 to 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 to Lift Load given Load using this online calculator? To use this online calculator for Torque Required to Lift Load given Load, enter Load on screw (W), Mean Diameter of Power Screw (d_m), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) and hit the calculate button. Here is how the Torque Required to Lift Load given Load calculation can be explained with given input values -> 9E+6 = (1700*0.046/2)*((0.15+tan(0.0785398163397301))/(1-0.15*tan(0.0785398163397301))).

FAQ

What is Torque Required to Lift Load given Load?

Torque Required to Lift Load given Load 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 to the object or the part to lift the load onto the power screw and is represented as Mt_li = (W*d_m/2)*((μ+tan(α))/(1-μ*tan(α))) or Torque for lifting load = (Load on screw*Mean Diameter of Power Screw/2)*((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw))). 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, 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 to Lift Load given Load?

Torque Required to Lift Load given Load 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 to the object or the part to lift the load onto the power screw is calculated using Torque for lifting load = (Load on screw*Mean Diameter of Power Screw/2)*((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw))). To calculate Torque Required to Lift Load given Load, you need Load on screw (W), Mean Diameter of Power Screw (d_m), Coefficient of friction at screw thread (μ) & Helix angle of screw (α). With our tool, you need to enter the respective value for Load on screw, Mean Diameter of Power 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.

How many ways are there to calculate Torque for lifting load?

In this formula, Torque for lifting load uses Load on screw, Mean Diameter of Power Screw, Coefficient of friction at screw thread & Helix angle of screw. We can use 1 other way(s) to calculate the same, which is/are as follows -

Torque for lifting load = Effort in lifting load*Mean Diameter of Power Screw/2

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