Helix Angle of Power Screw given Torque Required in Lowering Load Calculator

✖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%
✖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%
✖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%

✖Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.ⓘ Helix Angle of Power Screw given Torque Required in Lowering Load [α]

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Helix Angle of Power Screw given Torque Required in Lowering Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Helix angle of screw = atan((Coefficient of friction at screw thread*Load on screw*Mean Diameter of Power Screw-(2*Torque for lowering load))/(2*Torque for lowering load*Coefficient of friction at screw thread+(Load on screw*Mean Diameter of Power Screw)))
α = atan((μ*W*d_m-(2*Mt_lo))/(2*Mt_lo*μ+(W*d_m)))
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)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Coefficient of friction at screw thread: 0.15 --> No Conversion Required
Load on screw: 1700 Newton --> 1700 Newton No Conversion Required
Mean Diameter of Power Screw: 46 Millimeter --> 0.046 Meter (Check conversion here)
Torque for lowering load: 2960 Newton Millimeter --> 2.96 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = atan((μ*W*d_m-(2*Mt_lo))/(2*Mt_lo*μ+(W*d_m))) --> atan((0.15*1700*0.046-(2*2.96))/(2*2.96*0.15+(1700*0.046)))

Evaluating ... ...

α = 0.0733307459615802

STEP 3: Convert Result to Output's Unit

0.0733307459615802 Radian -->4.20154225214534 Degree (Check conversion here)

FINAL ANSWER

4.20154225214534 ≈ 4.201542 Degree <-- Helix angle of screw

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Machine Design » Power Screws » Torque Requirement in Lowering Load using Square threaded Screws » Helix Angle 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

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

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

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

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)))

Helix Angle of Power Screw given Torque Required in Lowering Load Formula

Define Helix Angle?

The helix angle is defined as the angle made by the helix of the thread with a plane perpendicular to the axis of the screw. The helix angle is related to the lead and the mean diameter of the screw. It is also called lead angle. The helix angle is denoted by a.

How to Calculate Helix Angle of Power Screw given Torque Required in Lowering Load?

Helix Angle of Power Screw given Torque Required in Lowering Load calculator uses Helix angle of screw = atan((Coefficient of friction at screw thread*Load on screw*Mean Diameter of Power Screw-(2*Torque for lowering load))/(2*Torque for lowering load*Coefficient of friction at screw thread+(Load on screw*Mean Diameter of Power Screw))) to calculate the Helix angle of screw, Helix Angle of Power Screw given Torque Required in Lowering Load formula is defined as 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. Helix angle of screw is denoted by α symbol.

How to calculate Helix Angle of Power Screw given Torque Required in Lowering Load using this online calculator? To use this online calculator for Helix Angle of Power Screw given Torque Required in Lowering Load, enter Coefficient of friction at screw thread (μ), Load on screw (W), Mean Diameter of Power Screw (d_m) & Torque for lowering load (Mt_lo) and hit the calculate button. Here is how the Helix Angle of Power Screw given Torque Required in Lowering Load calculation can be explained with given input values -> 240.7306 = atan((0.15*1700*0.046-(2*2.96))/(2*2.96*0.15+(1700*0.046))).

FAQ

What is Helix Angle of Power Screw given Torque Required in Lowering Load?

Helix Angle of Power Screw given Torque Required in Lowering Load formula is defined as 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 and is represented as α = atan((μ*W*d_m-(2*Mt_lo))/(2*Mt_lo*μ+(W*d_m))) or Helix angle of screw = atan((Coefficient of friction at screw thread*Load on screw*Mean Diameter of Power Screw-(2*Torque for lowering load))/(2*Torque for lowering load*Coefficient of friction at screw thread+(Load on screw*Mean Diameter of Power Screw))). 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, 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 & Torque for lowering load is described as the turning effect of force on the axis of rotation that is required in lowering the load.

How to calculate Helix Angle of Power Screw given Torque Required in Lowering Load?

Helix Angle of Power Screw given Torque Required in Lowering Load formula is defined as 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 is calculated using Helix angle of screw = atan((Coefficient of friction at screw thread*Load on screw*Mean Diameter of Power Screw-(2*Torque for lowering load))/(2*Torque for lowering load*Coefficient of friction at screw thread+(Load on screw*Mean Diameter of Power Screw))). To calculate Helix Angle of Power Screw given Torque Required in Lowering Load, you need Coefficient of friction at screw thread (μ), Load on screw (W), Mean Diameter of Power Screw (d_m) & Torque for lowering load (Mt_lo). With our tool, you need to enter the respective value for Coefficient of friction at screw thread, Load on screw, Mean Diameter of Power Screw & Torque for lowering load 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 Helix angle of screw?

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

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))

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