Lead of Screw given Helix angle Calculator

✖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 [d_m]			+10% -10%

✖Lead of Power Screw is the linear travel the nut makes per one screw revolution and is how power screws are typically specified.ⓘ Lead of Screw given Helix angle [L]

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Lead of Screw given Helix angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lead of Power Screw = tan(Helix angle of screw)*pi*Mean Diameter of Power Screw
L = tan(α)*pi*d_m
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Lead of Power Screw - (Measured in Meter) - Lead of Power Screw is the linear travel the nut makes per one screw revolution and is how power screws are typically specified.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Helix angle of screw: 4.5 Degree --> 0.0785398163397301 Radian (Check conversion here)
Mean Diameter of Power Screw: 46 Millimeter --> 0.046 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = tan(α)*pi*d_m --> tan(0.0785398163397301)*pi*0.046

Evaluating ... ...

L = 0.011373440383317

STEP 3: Convert Result to Output's Unit

0.011373440383317 Meter -->11.373440383317 Millimeter (Check conversion here)

FINAL ANSWER

11.373440383317 ≈ 11.37344 Millimeter <-- Lead of Power Screw

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< Design of Screw and Nut Calculators

Mean Diameter of Power Screw

LaTeX Go Mean Diameter of Power Screw = Nominal diameter of screw-0.5*Pitch of power screw thread

Nominal Diameter of Power Screw

LaTeX Go Nominal diameter of screw = Core diameter of screw+Pitch of power screw thread

Core Diameter of Power Screw

LaTeX Go Core diameter of screw = Nominal diameter of screw-Pitch of power screw thread

Pitch of Power Screw

LaTeX Go Pitch of power screw thread = Nominal diameter of screw-Core diameter of screw

Lead of Screw given Helix angle Formula

LaTeX Go

Lead of Power Screw = tan(Helix angle of screw)*pi*Mean Diameter of Power Screw
L = tan(α)*pi*d_m

Define Lead of a Screw?

Lead is the axial advance of a helix or screw during one complete turn (360°) The lead for a screw thread is the axial travel for a single revolution. Pitch is defined as the axial distance between adjacent threads on a helix or screw

How to Calculate Lead of Screw given Helix angle?

Lead of Screw given Helix angle calculator uses Lead of Power Screw = tan(Helix angle of screw)*pi*Mean Diameter of Power Screw to calculate the Lead of Power Screw, Lead of Screw given Helix angle formula is defined as the axial advance of a helix or screw during one complete turn (360°) The lead for a screw thread is the axial travel for a single revolution. Lead of Power Screw is denoted by L symbol.

How to calculate Lead of Screw given Helix angle using this online calculator? To use this online calculator for Lead of Screw given Helix angle, enter Helix angle of screw (α) & Mean Diameter of Power Screw (d_m) and hit the calculate button. Here is how the Lead of Screw given Helix angle calculation can be explained with given input values -> 11373.44 = tan(0.0785398163397301)*pi*0.046.

FAQ

What is Lead of Screw given Helix angle?

Lead of Screw given Helix angle formula is defined as the axial advance of a helix or screw during one complete turn (360°) The lead for a screw thread is the axial travel for a single revolution and is represented as L = tan(α)*pi*d_m or Lead of Power Screw = tan(Helix angle of screw)*pi*Mean Diameter of Power Screw. Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix & 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.

How to calculate Lead of Screw given Helix angle?

Lead of Screw given Helix angle formula is defined as the axial advance of a helix or screw during one complete turn (360°) The lead for a screw thread is the axial travel for a single revolution is calculated using Lead of Power Screw = tan(Helix angle of screw)*pi*Mean Diameter of Power Screw. To calculate Lead of Screw given Helix angle, you need Helix angle of screw (α) & Mean Diameter of Power Screw (d_m). With our tool, you need to enter the respective value for Helix angle of screw & Mean Diameter of Power 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 Lead of Power Screw?

In this formula, Lead of Power Screw uses Helix angle of screw & Mean Diameter of Power Screw. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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