Best size wire Calculator

✖Screw Pitch of Unsymmetrical Threads is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.ⓘ Screw Pitch of Unsymmetrical Threads [P_u]			+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%

✖The Wire Diameter of Unsymmetrical Threads is the diameter of the wire in thread measurements.ⓘ Best size wire [G_u]

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Formula

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Best size wire

Formula

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

Example

`"1.495047mm"="2.99mm"*((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 of Unsymmetrical Threads = Screw Pitch of Unsymmetrical Threads*((tan((Large Angle+Small Angle)/2)*sec(Large Angle))/(tan(Large Angle)+tan(Small Angle)))
G_u = P_u*((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 of Unsymmetrical Threads - (Measured in Meter) - The Wire Diameter of Unsymmetrical Threads is the diameter of the wire in thread measurements.
Screw Pitch of Unsymmetrical Threads - (Measured in Meter) - Screw Pitch of Unsymmetrical Threads 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 of Unsymmetrical Threads: 2.99 Millimeter --> 0.00299 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_u = P_u*((tan((a₁+a₂)/2)*sec(a₁))/(tan(a₁)+tan(a₂))) --> 0.00299*((tan((0.00872664625997001+0.003490658503988)/2)*sec(0.00872664625997001))/(tan(0.00872664625997001)+tan(0.003490658503988)))

Evaluating ... ...

G_u = 0.00149504667986908

STEP 3: Convert Result to Output's Unit

0.00149504667986908 Meter -->1.49504667986908 Millimeter (Check conversion here)

FINAL ANSWER

1.49504667986908 ≈ 1.495047 Millimeter <-- Wire Diameter of Unsymmetrical Threads

(Calculation completed in 00.005 seconds)

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Credits

Created by Rajat Vishwakarma

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

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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< 6 Unsymmetrical threads Calculators

Pitch diameter unsymmetrical threads

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

Pitch of screw unsymmetrical threads

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

Micrometer reading per measurement

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

Best size wire

Go Wire Diameter of Unsymmetrical Threads = Screw Pitch of Unsymmetrical Threads*((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 of Unsymmetrical Threads = 0.54147*Screw Pitch of Unsymmetrical Threads

Pitch for modified buttress 45deg and 7deg

Go Screw Pitch of Unsymmetrical Threads = Wire Diameter of Unsymmetrical Threads/0.54147

Best size wire Formula

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 of Unsymmetrical Threads = Screw Pitch of Unsymmetrical Threads*((tan((Large Angle+Small Angle)/2)*sec(Large Angle))/(tan(Large Angle)+tan(Small Angle))) to calculate the Wire Diameter of Unsymmetrical Threads, The Best size wire formula is defined as the diameter of measuring wires used in the three wire method. Wire Diameter of Unsymmetrical Threads is denoted by G_u symbol.

How to calculate Best size wire using this online calculator? To use this online calculator for Best size wire, enter Screw Pitch of Unsymmetrical Threads (P_u), 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 -> 1495.047 = 0.00299*((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 diameter of measuring wires used in the three wire method and is represented as G_u = P_u*((tan((a₁+a₂)/2)*sec(a₁))/(tan(a₁)+tan(a₂))) or Wire Diameter of Unsymmetrical Threads = Screw Pitch of Unsymmetrical Threads*((tan((Large Angle+Small Angle)/2)*sec(Large Angle))/(tan(Large Angle)+tan(Small Angle))). Screw Pitch of Unsymmetrical Threads 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 diameter of measuring wires used in the three wire method is calculated using Wire Diameter of Unsymmetrical Threads = Screw Pitch of Unsymmetrical Threads*((tan((Large Angle+Small Angle)/2)*sec(Large Angle))/(tan(Large Angle)+tan(Small Angle))). To calculate Best size wire, you need Screw Pitch of Unsymmetrical Threads (P_u), Large Angle (a₁) & Small Angle (a₂). With our tool, you need to enter the respective value for Screw Pitch of Unsymmetrical Threads, 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 of Unsymmetrical Threads?

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

Wire Diameter of Unsymmetrical Threads = 0.54147*Screw Pitch of Unsymmetrical Threads

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