✖Micrometer Reading is the reading of an instrument which can measure thickness of very small objects.ⓘ Micrometer Reading [M]			+10% -10%
✖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.ⓘ Wire Diameter [G]			+10% -10%

✖Thickness of Screw in threaded fasteners, is the diameter at which the width of the thread ridge and the groove are equal.ⓘ Pitch diameter unsymmetrical threads [D_u]

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Formula

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Pitch diameter unsymmetrical threads

Formula

`"D"_{"u"} = "M"+("P"/(tan("a"_{"1"})+tan("a"_{"2"})))-"G"*(1+cosec(("a"_{"1"}+"a"_{"2"})/2)*cos(("a"_{"1"}-"a"_{"2"})/2))`

Example

`"56.10538mm"="8.2mm"+("3mm"/(tan("0.5°")+tan("0.2°")))-"1.2mm"*(1+cosec(("0.5°"+"0.2°")/2)*cos(("0.5°"-"0.2°")/2))`

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Pitch diameter unsymmetrical threads Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
D_u = M+(P/(tan(a₁)+tan(a₂)))-G*(1+cosec((a₁+a₂)/2)*cos((a₁-a₂)/2))
This formula uses 4 Functions, 6 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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)
cosec - The cosecant function is a trigonometric function that is the reciprocal of the sine function., cosec(Angle)

Variables Used

Thickness of Screw - (Measured in Meter) - Thickness of Screw in threaded fasteners, is the diameter at which the width of the thread ridge and the groove are equal.
Micrometer Reading - (Measured in Meter) - Micrometer Reading is the reading of an instrument which can measure thickness of very small objects.
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.
Wire Diameter - (Measured in Meter) - Wire Diameter is the diameter of the wire in thread measurements.

STEP 1: Convert Input(s) to Base Unit

Micrometer Reading: 8.2 Millimeter --> 0.0082 Meter (Check conversion here)
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)
Wire Diameter: 1.2 Millimeter --> 0.0012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_u = M+(P/(tan(a₁)+tan(a₂)))-G*(1+cosec((a₁+a₂)/2)*cos((a₁-a₂)/2)) --> 0.0082+(0.003/(tan(0.00872664625997001)+tan(0.003490658503988)))-0.0012*(1+cosec((0.00872664625997001+0.003490658503988)/2)*cos((0.00872664625997001-0.003490658503988)/2))

Evaluating ... ...

D_u = 0.0561053822526353

STEP 3: Convert Result to Output's Unit

0.0561053822526353 Meter -->56.1053822526353 Millimeter (Check conversion here)

FINAL ANSWER

56.1053822526353 ≈ 56.10538 Millimeter <-- Thickness of Screw

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metrology » Thread Measurement » Three Wires System Method » Unsymmetrical Threads » Pitch diameter unsymmetrical threads

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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

Pitch diameter unsymmetrical threads 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 Pitch diameter unsymmetrical threads?

Pitch diameter unsymmetrical threads calculator uses 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)) to calculate the Thickness of Screw, The Pitch Diameter Unsymmetrical Threads formula refers to the diameter of an imaginary cylinder that would pass through the thread profile at the point where the width of the threads and the width of the spaces between the threads are equal. Thickness of Screw is denoted by D_u symbol.

How to calculate Pitch diameter unsymmetrical threads using this online calculator? To use this online calculator for Pitch diameter unsymmetrical threads, enter Micrometer Reading (M), Screw Pitch (P), Large Angle (a₁), Small Angle (a₂) & Wire Diameter (G) and hit the calculate button. Here is how the Pitch diameter unsymmetrical threads calculation can be explained with given input values -> 56105.38 = 0.0082+(0.003/(tan(0.00872664625997001)+tan(0.003490658503988)))-0.0012*(1+cosec((0.00872664625997001+0.003490658503988)/2)*cos((0.00872664625997001-0.003490658503988)/2)).

FAQ

What is Pitch diameter unsymmetrical threads?

The Pitch Diameter Unsymmetrical Threads formula refers to the diameter of an imaginary cylinder that would pass through the thread profile at the point where the width of the threads and the width of the spaces between the threads are equal and is represented as D_u = M+(P/(tan(a₁)+tan(a₂)))-G*(1+cosec((a₁+a₂)/2)*cos((a₁-a₂)/2)) or 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)). Micrometer Reading is the reading of an instrument which can measure thickness of very small objects, 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 & Wire Diameter is the diameter of the wire in thread measurements.

How to calculate Pitch diameter unsymmetrical threads?

The Pitch Diameter Unsymmetrical Threads formula refers to the diameter of an imaginary cylinder that would pass through the thread profile at the point where the width of the threads and the width of the spaces between the threads are equal is calculated using 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)). To calculate Pitch diameter unsymmetrical threads, you need Micrometer Reading (M), Screw Pitch (P), Large Angle (a₁), Small Angle (a₂) & Wire Diameter (G). With our tool, you need to enter the respective value for Micrometer Reading, Screw Pitch, Large Angle, Small Angle & Wire Diameter 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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