Mean diameter of Screw given Helix Angle 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%
✖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 Screw given Helix Angle [d_m]

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Formula

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Mean diameter of Screw given Helix Angle

Formula

`"d"_{"m"} = "L"/(pi*tan("α"))`

Example

`"44.48962mm"="11mm"/(pi*tan("4.5°"))`

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Mean diameter of Screw given Helix Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Lead of Power Screw: 11 Millimeter --> 0.011 Meter (Check conversion here)
Helix angle of screw: 4.5 Degree --> 0.0785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_m = L/(pi*tan(α)) --> 0.011/(pi*tan(0.0785398163397301))

Evaluating ... ...

d_m = 0.0444896164174052

STEP 3: Convert Result to Output's Unit

0.0444896164174052 Meter -->44.4896164174052 Millimeter (Check conversion here)

FINAL ANSWER

44.4896164174052 ≈ 44.48962 Millimeter <-- Mean Diameter of Power Screw

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Power Screws » Design of Screw and Nut » Mean diameter of Screw given Helix Angle

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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National Institute Of Technology (NIT), Hamirpur

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< 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

Mean diameter of Screw given Helix Angle Formula

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

Dummy 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 Mean diameter of Screw given Helix Angle?

Mean diameter of Screw given Helix Angle calculator uses Mean Diameter of Power Screw = Lead of Power Screw/(pi*tan(Helix angle of screw)) to calculate the Mean Diameter of Power Screw, The Mean diameter of Screw given Helix Angle formula is defined as 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 is denoted by d_m symbol.

How to calculate Mean diameter of Screw given Helix Angle using this online calculator? To use this online calculator for Mean diameter of Screw given Helix Angle, enter Lead of Power Screw (L) & Helix angle of screw (α) and hit the calculate button. Here is how the Mean diameter of Screw given Helix Angle calculation can be explained with given input values -> 44489.62 = 0.011/(pi*tan(0.0785398163397301)).

FAQ

What is Mean diameter of Screw given Helix Angle?

The Mean diameter of Screw given Helix Angle formula is defined as the average diameter of the bearing surface - or more accurately, twice the average distance from the centreline of the thread to the bearing surface and is represented as d_m = L/(pi*tan(α)) or Mean Diameter of Power Screw = Lead of Power Screw/(pi*tan(Helix angle of screw)). 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 is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.

How to calculate Mean diameter of Screw given Helix Angle?

The Mean diameter of Screw given Helix Angle formula is defined as the average diameter of the bearing surface - or more accurately, twice the average distance from the centreline of the thread to the bearing surface is calculated using Mean Diameter of Power Screw = Lead of Power Screw/(pi*tan(Helix angle of screw)). To calculate Mean diameter of Screw given Helix Angle, you need Lead of Power Screw (L) & Helix angle of screw (α). With our tool, you need to enter the respective value for Lead of Power Screw & 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.

How many ways are there to calculate Mean Diameter of Power Screw?

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

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

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