✖Screw Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.ⓘ Screw Pitch [P]			+10% -10%
✖Large Angle is the angle specified by the manufacturer of given unsymmetrical thread.ⓘ Large Angle [a₁]			+10% -10%
✖A Small Angle is an angle specified by the manufacturer for the given thread.ⓘ Small Angle [a₂]			+10% -10%

✖Wire Diameter is the diameter of the wire in thread measurements.ⓘ Best size wire [G]

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Formula

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Best size wire

Formula

`"G" = "P"*((tan(("a"_{"1"}+"a"_{"2"})/2)*sec("a"_{"1"}))/(tan("a"_{"1"})+tan("a"_{"2"})))`

Example

`"1.500047mm"="3mm"*((tan(("0.5°"+"0.2°")/2)*sec("0.5°"))/(tan("0.5°")+tan("0.2°")))`

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Best size wire Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wire Diameter = Screw Pitch*((tan((Large Angle+Small Angle)/2)*sec(Large Angle))/(tan(Large Angle)+tan(Small Angle)))
G = P*((tan((a₁+a₂)/2)*sec(a₁))/(tan(a₁)+tan(a₂)))
This formula uses 2 Functions, 4 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)
sec - Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine., sec(Angle)

Variables Used

Wire Diameter - (Measured in Meter) - Wire Diameter is the diameter of the wire in thread measurements.
Screw Pitch - (Measured in Meter) - Screw Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.
Large Angle - (Measured in Radian) - Large Angle is the angle specified by the manufacturer of given unsymmetrical thread.
Small Angle - (Measured in Radian) - A Small Angle is an angle specified by the manufacturer for the given thread.

STEP 1: Convert Input(s) to Base Unit

Screw Pitch: 3 Millimeter --> 0.003 Meter (Check conversion here)
Large Angle: 0.5 Degree --> 0.00872664625997001 Radian (Check conversion here)
Small Angle: 0.2 Degree --> 0.003490658503988 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = P*((tan((a₁+a₂)/2)*sec(a₁))/(tan(a₁)+tan(a₂))) --> 0.003*((tan((0.00872664625997001+0.003490658503988)/2)*sec(0.00872664625997001))/(tan(0.00872664625997001)+tan(0.003490658503988)))

Evaluating ... ...

G = 0.00150004683598904

STEP 3: Convert Result to Output's Unit

0.00150004683598904 Meter -->1.50004683598904 Millimeter (Check conversion here)

FINAL ANSWER

1.50004683598904 ≈ 1.500047 Millimeter <-- Wire Diameter

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metrology » Thread Measurement » Three Wires System Method » Unsymmetrical Threads » Best size wire

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< 6 Unsymmetrical Threads Calculators

Pitch diameter unsymmetrical threads

Go Thickness of Screw = Micrometer Reading+(Screw Pitch/(tan(Large Angle)+tan(Small Angle)))-Wire Diameter*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))

Pitch of Screw Unsymmetrical Threads

Go Screw Pitch = (Thickness of Screw+Wire Diameter*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))-Micrometer Reading)*(tan(Large Angle)+tan(Small Angle))

Micrometer reading per measurement

Go Micrometer Reading = Thickness of Screw-(Screw Pitch/(tan(Large Angle)+tan(Small Angle)))+Wire Diameter*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))

Best size wire

Go Wire Diameter = Screw Pitch*((tan((Large Angle+Small Angle)/2)*sec(Large Angle))/(tan(Large Angle)+tan(Small Angle)))

Best wire size for modified buttress 45deg and 7deg

Go Wire Diameter = 0.54147*Screw Pitch

Pitch for modified buttress 45deg and 7deg

Go Screw Pitch = Wire Diameter/0.54147

Best size wire Formula

Wire Diameter = Screw Pitch*((tan((Large Angle+Small Angle)/2)*sec(Large Angle))/(tan(Large Angle)+tan(Small Angle)))
G = P*((tan((a₁+a₂)/2)*sec(a₁))/(tan(a₁)+tan(a₂)))

What is the use of Three wire method ?

The accurate measurement of thread pitch diameter, which may be perfect as to form and lead, presents certain difficulties which result in some uncertainty as to its true value. The adoption of a standard uniform practice in making such measurements is, therefore, desirable in order to reduce such uncertainty of measurement to a minimum. The “three-wire method” of measuring thread pitch diameter, has been found to be the most generally satisfactory method when properly carried out, and is recommended for universal use in the direct measurement of thread plug and thread setting plug gauges.

How to Calculate Best size wire?

Best size wire calculator uses Wire Diameter = Screw Pitch*((tan((Large Angle+Small Angle)/2)*sec(Large Angle))/(tan(Large Angle)+tan(Small Angle))) to calculate the Wire Diameter, The Best Size Wire formula is defined as the optimal diameter of the wires used in the three-wire method for measuring the pitch diameter of threads. This diameter ensures accurate contact with the thread flanks during measurement, providing precise pitch diameter readings. Wire Diameter is denoted by G symbol.

How to calculate Best size wire using this online calculator? To use this online calculator for Best size wire, enter Screw Pitch (P), Large Angle (a₁) & Small Angle (a₂) and hit the calculate button. Here is how the Best size wire calculation can be explained with given input values -> 1500.047 = 0.003*((tan((0.00872664625997001+0.003490658503988)/2)*sec(0.00872664625997001))/(tan(0.00872664625997001)+tan(0.003490658503988))).

FAQ

What is Best size wire?

The Best Size Wire formula is defined as the optimal diameter of the wires used in the three-wire method for measuring the pitch diameter of threads. This diameter ensures accurate contact with the thread flanks during measurement, providing precise pitch diameter readings and is represented as G = P*((tan((a₁+a₂)/2)*sec(a₁))/(tan(a₁)+tan(a₂))) or Wire Diameter = Screw Pitch*((tan((Large Angle+Small Angle)/2)*sec(Large Angle))/(tan(Large Angle)+tan(Small Angle))). Screw Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch, Large Angle is the angle specified by the manufacturer of given unsymmetrical thread & A Small Angle is an angle specified by the manufacturer for the given thread.

How to calculate Best size wire?

The Best Size Wire formula is defined as the optimal diameter of the wires used in the three-wire method for measuring the pitch diameter of threads. This diameter ensures accurate contact with the thread flanks during measurement, providing precise pitch diameter readings is calculated using Wire Diameter = Screw Pitch*((tan((Large Angle+Small Angle)/2)*sec(Large Angle))/(tan(Large Angle)+tan(Small Angle))). To calculate Best size wire, you need Screw Pitch (P), Large Angle (a₁) & Small Angle (a₂). With our tool, you need to enter the respective value for Screw Pitch, Large Angle & Small Angle 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 Wire Diameter?

In this formula, Wire Diameter uses Screw Pitch, Large Angle & Small Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Wire Diameter = 0.54147*Screw Pitch

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