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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. Check FAQs
dm=Lπtan(α)
dm - Mean Diameter of Power Screw?L - Lead of Power Screw?α - Helix angle of screw?π - Archimedes' constant?

Mean diameter of Screw given Helix Angle Example

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With units
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Here is how the Mean diameter of Screw given Helix Angle equation looks like with Values.

Here is how the Mean diameter of Screw given Helix Angle equation looks like with Units.

Here is how the Mean diameter of Screw given Helix Angle equation looks like.

44.4896Edit=11Edit3.1416tan(4.5Edit)
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Mean diameter of Screw given Helix Angle Solution

Follow our step by step solution on how to calculate Mean diameter of Screw given Helix Angle?

FIRST Step Consider the formula
dm=Lπtan(α)
Next Step Substitute values of Variables
dm=11mmπtan(4.5°)
Next Step Substitute values of Constants
dm=11mm3.1416tan(4.5°)
Next Step Convert Units
dm=0.011m3.1416tan(0.0785rad)
Next Step Prepare to Evaluate
dm=0.0113.1416tan(0.0785)
Next Step Evaluate
dm=0.0444896164174052m
Next Step Convert to Output's Unit
dm=44.4896164174052mm
LAST Step Rounding Answer
dm=44.4896mm

Mean diameter of Screw given Helix Angle Formula Elements

Variables
Constants
Functions
Mean Diameter of Power Screw
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.
Symbol: dm
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Lead 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.
Symbol: L
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Helix angle of screw
Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.
Symbol: α
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288
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.
Syntax: tan(Angle)

Other Formulas to find Mean Diameter of Power Screw

​Go Mean Diameter of Power Screw
dm=d-0.5p

Other formulas in Design of Screw and Nut category

​Go Core Diameter of Power Screw
dc=d-p
​Go Nominal Diameter of Power Screw
d=dc+p
​Go Pitch of Power Screw
p=d-dc
​Go Nominal Diameter of Power Screw given Mean Diameter
d=dm+(0.5p)

How to Evaluate Mean diameter of Screw given Helix Angle?

Mean diameter of Screw given Helix Angle evaluator uses Mean Diameter of Power Screw = Lead of Power Screw/(pi*tan(Helix angle of screw)) to evaluate 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 dm symbol.

How to evaluate Mean diameter of Screw given Helix Angle using this online evaluator? To use this online evaluator for Mean diameter of Screw given Helix Angle, enter Lead of Power Screw (L) & Helix angle of screw (α) and hit the calculate button.

FAQs on Mean diameter of Screw given Helix Angle

What is the formula to find Mean diameter of Screw given Helix Angle?
The formula of Mean diameter of Screw given Helix Angle is expressed as Mean Diameter of Power Screw = Lead of Power Screw/(pi*tan(Helix angle of screw)). Here is an example- 44489.62 = 0.011/(pi*tan(0.0785398163397301)).
How to calculate Mean diameter of Screw given Helix Angle?
With Lead of Power Screw (L) & Helix angle of screw (α) we can find Mean diameter of Screw given Helix Angle using the formula - Mean Diameter of Power Screw = Lead of Power Screw/(pi*tan(Helix angle of screw)). This formula also uses Archimedes' constant and Tangent (tan) function(s).
What are the other ways to Calculate Mean Diameter of Power Screw?
Here are the different ways to Calculate Mean Diameter of Power Screw-
  • Mean Diameter of Power Screw=Nominal diameter of screw-0.5*Pitch of power screw threadOpenImg
Can the Mean diameter of Screw given Helix Angle be negative?
No, the Mean diameter of Screw given Helix Angle, measured in Length cannot be negative.
Which unit is used to measure Mean diameter of Screw given Helix Angle?
Mean diameter of Screw given Helix Angle is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Mean diameter of Screw given Helix Angle can be measured.
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