Helix Angle of Thread Calculator

✖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 Power Screw [L]			+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%

✖Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.ⓘ Helix Angle of Thread [α]

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Formula

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Helix Angle of Thread

Formula

`"α" = atan("L"/(pi*"d"_{"m"}))`

Example

`"4.352823°"=atan("11mm"/(pi*"46mm"))`

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Helix Angle of Thread Solution

STEP 0: Pre-Calculation Summary

Formula Used

Helix angle of screw = atan(Lead of Power Screw/(pi*Mean Diameter of Power Screw))
α = atan(L/(pi*d_m))
This formula uses 1 Constants, 2 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)
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.
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.
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

Lead of Power Screw: 11 Millimeter --> 0.011 Meter (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

α = atan(L/(pi*d_m)) --> atan(0.011/(pi*0.046))

Evaluating ... ...

α = 0.0759710848780631

STEP 3: Convert Result to Output's Unit

0.0759710848780631 Radian -->4.35282252854399 Degree (Check conversion here)

FINAL ANSWER

4.35282252854399 ≈ 4.352823 Degree <-- Helix angle of screw

(Calculation completed in 00.004 seconds)

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Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 25 Design of Screw and Nut Calculators

Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut

Go Nominal diameter of screw = Axial load on screw/(pi*Transverse shear stress in nut*Thread Thickness*Number of Engaged Threads)

Transverse Shear Stress at Root of Nut

Go Transverse shear stress in nut = Axial load on screw/(pi*Nominal diameter of screw*Thread Thickness*Number of Engaged Threads)

Thread Thickness at Core Diameter of Screw given Transverse Shear Stress

Go Thread Thickness = Axial load on screw/(pi*Transverse Shear Stress in Screw*Core diameter of screw*Number of Engaged Threads)

Number of Threads in Engagement with Nut given Transverse Shear Stress

Go Number of Engaged Threads = Axial load on screw/(pi*Thread Thickness*Transverse Shear Stress in Screw*Core diameter of screw)

Core Diameter of Screw given Transverse Shear Stress in Screw

Go Core diameter of screw = Axial load on screw/(Transverse Shear Stress in Screw*pi*Thread Thickness*Number of Engaged Threads)

Axial Load on Screw given Transverse Shear Stress

Go Axial load on screw = (Transverse Shear Stress in Screw*pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)

Transverse Shear Stress in Screw

Go Transverse Shear Stress in Screw = Axial load on screw/(pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)

Axial Load on Screw given Transverse Shear Stress at Root of Nut

Go Axial load on screw = pi*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads

Overall Efficiency of Power Screw

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

Lead of Screw given Overall Efficiency

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

Core Diameter of Screw given Direct Compressive Stress

Go Core diameter of screw = sqrt((4*Axial load on screw)/(pi*Compressive stress in screw))

Helix Angle of Thread

Go Helix angle of screw = atan(Lead of Power Screw/(pi*Mean Diameter of Power Screw))

Mean diameter of Screw given Helix Angle

Go Mean Diameter of Power Screw = Lead of Power Screw/(pi*tan(Helix angle of screw))

Lead of Screw given Helix angle

Go Lead of Power Screw = tan(Helix angle of screw)*pi*Mean Diameter of Power Screw

Core Diameter of Screw given Torsional Shear Stress

Go Core diameter of screw = (16*Torsional Moment on Screw/(pi*Torsional shear stress in screw))^(1/3)

Torsional Shear Stress of Screw

Go Torsional shear stress in screw = 16*Torsional Moment on Screw/(pi*(Core diameter of screw^3))

Torsional Moment in Screw given Torsional Shear Stress

Go Torsional Moment on Screw = Torsional shear stress in screw*pi*(Core diameter of screw^3)/16

Direct Compressive Stress in Screw

Go Compressive stress in screw = (Axial load on screw*4)/(pi*Core diameter of screw^2)

Axial Load on Screw given Direct Compressive Stress

Go Axial load on screw = (Compressive stress in screw*pi*Core diameter of screw^2)/4

Nominal Diameter of Power Screw given Mean Diameter

Go Nominal diameter of screw = Mean Diameter of Power Screw+(0.5*Pitch of power screw thread)

Pitch of Screw given Mean Diameter

Go Pitch of power screw thread = (Nominal diameter of screw-Mean Diameter of Power Screw)/0.5

Mean Diameter of Power Screw

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

Nominal Diameter of Power Screw

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

Core Diameter of Power Screw

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

Pitch of Power Screw

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

Helix Angle of Thread Formula

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

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. Naturally, the helix angle is the geometric complement of the lead angle. The helix angle is measured in degrees.

How to Calculate Helix Angle of Thread?

Helix Angle of Thread calculator uses Helix angle of screw = atan(Lead of Power Screw/(pi*Mean Diameter of Power Screw)) to calculate the Helix angle of screw, The Helix Angle of Thread 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 Thread using this online calculator? To use this online calculator for Helix Angle of Thread, enter Lead of Power Screw (L) & Mean Diameter of Power Screw (d_m) and hit the calculate button. Here is how the Helix Angle of Thread calculation can be explained with given input values -> 249.3984 = atan(0.011/(pi*0.046)).

FAQ

What is Helix Angle of Thread?

The Helix Angle of Thread 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(L/(pi*d_m)) or Helix angle of screw = atan(Lead of Power Screw/(pi*Mean Diameter of Power Screw)). Lead of Power Screw is the linear travel the nut makes per one screw revolution and is how power screws are typically specified & 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 Helix Angle of Thread?

The Helix Angle of Thread 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(Lead of Power Screw/(pi*Mean Diameter of Power Screw)). To calculate Helix Angle of Thread, you need Lead of Power Screw (L) & Mean Diameter of Power Screw (d_m). With our tool, you need to enter the respective value for Lead of Power 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.

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