Mean Diameter of Power Screw given Torque Required to Lift Load Calculator

✖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 for lifting load [Mt_li]			+10% -10%
✖Effort in lifting load is the force required to overcome the resistance to lift the load.ⓘ Effort in lifting load [P_li]			+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 given Torque Required to Lift Load [d_m]

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Formula

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Mean Diameter of Power Screw given Torque Required to Lift Load

Formula

`"d"_{"m"} = 2*"Mt"_{"li"}/"P"_{"li"}`

Example

`"46.09453mm"=2*"9265N*mm"/"402N"`

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Mean Diameter of Power Screw given Torque Required to Lift Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Diameter of Power Screw = 2*Torque for lifting load/Effort in lifting load
d_m = 2*Mt_li/P_li
This formula uses 3 Variables

Variables Used

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.
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.
Effort in lifting load - (Measured in Newton) - Effort in lifting load is the force required to overcome the resistance to lift the load.

STEP 1: Convert Input(s) to Base Unit

Torque for lifting load: 9265 Newton Millimeter --> 9.265 Newton Meter (Check conversion here)
Effort in lifting load: 402 Newton --> 402 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_m = 2*Mt_li/P_li --> 2*9.265/402

Evaluating ... ...

d_m = 0.0460945273631841

STEP 3: Convert Result to Output's Unit

0.0460945273631841 Meter -->46.0945273631841 Millimeter (Check conversion here)

FINAL ANSWER

46.0945273631841 ≈ 46.09453 Millimeter <-- Mean Diameter of Power Screw

(Calculation completed in 00.020 seconds)

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

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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

Mean Diameter of Power Screw given Torque Required to Lift Load Formula

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

Define Torque?

Torque is a measure of the force that can cause an object to rotate about an axis. Just as force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration. Torque is a vector quantity.

How to Calculate Mean Diameter of Power Screw given Torque Required to Lift Load?

Mean Diameter of Power Screw given Torque Required to Lift Load calculator uses Mean Diameter of Power Screw = 2*Torque for lifting load/Effort in lifting load to calculate the Mean Diameter of Power Screw, Mean Diameter of Power Screw given Torque Required to Lift Load formula is defined as the average diameter of the bearing surface of the screw. Mean Diameter of Power Screw is denoted by d_m symbol.

How to calculate Mean Diameter of Power Screw given Torque Required to Lift Load using this online calculator? To use this online calculator for Mean Diameter of Power Screw given Torque Required to Lift Load, enter Torque for lifting load (Mt_li) & Effort in lifting load (P_li) and hit the calculate button. Here is how the Mean Diameter of Power Screw given Torque Required to Lift Load calculation can be explained with given input values -> 46094.53 = 2*9.265/402.

FAQ

What is Mean Diameter of Power Screw given Torque Required to Lift Load?

Mean Diameter of Power Screw given Torque Required to Lift Load formula is defined as the average diameter of the bearing surface of the screw and is represented as d_m = 2*Mt_li/P_li or Mean Diameter of Power Screw = 2*Torque for lifting load/Effort in lifting load. Torque for lifting load is described as the turning effect of force on the axis of rotation that is required in lifting the load & Effort in lifting load is the force required to overcome the resistance to lift the load.

How to calculate Mean Diameter of Power Screw given Torque Required to Lift Load?

Mean Diameter of Power Screw given Torque Required to Lift Load formula is defined as the average diameter of the bearing surface of the screw is calculated using Mean Diameter of Power Screw = 2*Torque for lifting load/Effort in lifting load. To calculate Mean Diameter of Power Screw given Torque Required to Lift Load, you need Torque for lifting load (Mt_li) & Effort in lifting load (P_li). With our tool, you need to enter the respective value for Torque for lifting load & Effort in lifting load 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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