Mean Diameter of Power Screw given Torque Required in Lowering Load Calculator

✖Torque for lowering load is described as the turning effect of force on the axis of rotation that is required in lowering the load.ⓘ Torque for lowering load [Mt_lo]			+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%

✖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 in Lowering Load [d_m]

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Mean Diameter of Power Screw given Torque Required in Lowering Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Diameter of Power Screw = Torque for lowering load/(0.5*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))))
d_m = Mt_lo/(0.5*W*((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

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 lowering load - (Measured in Newton Meter) - Torque for lowering load is described as the turning effect of force on the axis of rotation that is required in lowering 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.
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

Torque for lowering load: 2960 Newton Millimeter --> 2.96 Newton 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

d_m = Mt_lo/(0.5*W*((μ-tan(α))/(1+μ*tan(α)))) --> 2.96/(0.5*1700*((0.15-tan(0.0785398163397301))/(1+0.15*tan(0.0785398163397301))))

Evaluating ... ...

d_m = 0.0494186165234568

STEP 3: Convert Result to Output's Unit

0.0494186165234568 Meter -->49.4186165234568 Millimeter (Check conversion here)

FINAL ANSWER

49.4186165234568 ≈ 49.41862 Millimeter <-- Mean Diameter of Power Screw

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Power Screws » Torque Requirement in Lowering Load using Square threaded Screws » Mean Diameter of Power Screw given Torque Required in Lowering Load

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< Torque Requirement in Lowering Load using Square threaded Screws Calculators

Coefficient of Friction of Screw Thread given Load

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

Helix Angle of Power Screw given Effort Required in Lowering Load

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

Load on power Screw given Effort Required in Lowering Load

LaTeX Go Load on screw = Effort in lowering 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 Lowering Load

LaTeX Go Effort in lowering 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)))

Mean Diameter of Power Screw given Torque Required in Lowering Load Formula

LaTeX Go

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 in Lowering Load?

Mean Diameter of Power Screw given Torque Required in Lowering Load calculator uses Mean Diameter of Power Screw = Torque for lowering load/(0.5*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)))) to calculate the Mean Diameter of Power Screw, Mean Diameter of Power Screw given Torque Required in Lowering 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 in Lowering Load using this online calculator? To use this online calculator for Mean Diameter of Power Screw given Torque Required in Lowering Load, enter Torque for lowering load (Mt_lo), 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 Mean Diameter of Power Screw given Torque Required in Lowering Load calculation can be explained with given input values -> 49418.62 = 2.96/(0.5*1700*((0.15-tan(0.0785398163397301))/(1+0.15*tan(0.0785398163397301)))).

FAQ

What is Mean Diameter of Power Screw given Torque Required in Lowering Load?

Mean Diameter of Power Screw given Torque Required in Lowering Load formula is defined as the average diameter of the bearing surface of the screw and is represented as d_m = Mt_lo/(0.5*W*((μ-tan(α))/(1+μ*tan(α)))) or Mean Diameter of Power Screw = Torque for lowering load/(0.5*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)))). Torque for lowering load is described as the turning effect of force on the axis of rotation that is required in lowering the load, 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 Mean Diameter of Power Screw given Torque Required in Lowering Load?

Mean Diameter of Power Screw given Torque Required in Lowering Load formula is defined as the average diameter of the bearing surface of the screw is calculated using Mean Diameter of Power Screw = Torque for lowering load/(0.5*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)))). To calculate Mean Diameter of Power Screw given Torque Required in Lowering Load, you need Torque for lowering load (Mt_lo), 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 Torque for lowering load, 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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