Pitch diameter unsymmetrical threads Calculator

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

✖Pitch Diameter of Unsymmetrical Threads is the diameter of the basic cylindrical shape on which threads are created.ⓘ Pitch diameter unsymmetrical threads [D_u]

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Formula

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Pitch diameter unsymmetrical threads

Formula

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

Example

`"6.983652mm"="35.66mm"+("2.99mm"/(tan("0.5°")+tan("0.2°")))-"1.66mm"*(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

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))
D_u = M_u+(P_u/(tan(a₁)+tan(a₂)))-G_u*(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

Pitch Diameter of Unsymmetrical Threads - (Measured in Meter) - Pitch Diameter of Unsymmetrical Threads is the diameter of the basic cylindrical shape on which threads are created.
Micrometer Reading of Unsymmetrical Threads - (Measured in Meter) - Micrometer Reading of Unsymmetrical Threads is the reading of an instrument which can measure thickness of very small objects.
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.
Wire Diameter of Unsymmetrical Threads - (Measured in Meter) - The Wire Diameter of Unsymmetrical Threads is the diameter of the wire in thread measurements.

STEP 1: Convert Input(s) to Base Unit

Micrometer Reading of Unsymmetrical Threads: 35.66 Millimeter --> 0.03566 Meter (Check conversion here)
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)
Wire Diameter of Unsymmetrical Threads: 1.66 Millimeter --> 0.00166 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_u = M_u+(P_u/(tan(a₁)+tan(a₂)))-G_u*(1+cosec((a₁+a₂)/2)*cos((a₁-a₂)/2)) --> 0.03566+(0.00299/(tan(0.00872664625997001)+tan(0.003490658503988)))-0.00166*(1+cosec((0.00872664625997001+0.003490658503988)/2)*cos((0.00872664625997001-0.003490658503988)/2))

Evaluating ... ...

D_u = 0.00698365213383711

STEP 3: Convert Result to Output's Unit

0.00698365213383711 Meter -->6.98365213383711 Millimeter (Check conversion here)

FINAL ANSWER

6.98365213383711 ≈ 6.983652 Millimeter <-- Pitch Diameter of Unsymmetrical Threads

(Calculation completed in 00.004 seconds)

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

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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

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 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)) to calculate the Pitch Diameter of Unsymmetrical Threads, The Pitch diameter unsymmetrical threads formula is defined as the diameter where the thread thickness is equal to the space between the threads. Pitch Diameter of Unsymmetrical Threads 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 of Unsymmetrical Threads (M_u), Screw Pitch of Unsymmetrical Threads (P_u), Large Angle (a₁), Small Angle (a₂) & Wire Diameter of Unsymmetrical Threads (G_u) and hit the calculate button. Here is how the Pitch diameter unsymmetrical threads calculation can be explained with given input values -> 6983.652 = 0.03566+(0.00299/(tan(0.00872664625997001)+tan(0.003490658503988)))-0.00166*(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 is defined as the diameter where the thread thickness is equal to the space between the threads and is represented as D_u = M_u+(P_u/(tan(a₁)+tan(a₂)))-G_u*(1+cosec((a₁+a₂)/2)*cos((a₁-a₂)/2)) or 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)). Micrometer Reading of Unsymmetrical Threads is the reading of an instrument which can measure thickness of very small objects, 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 & The Wire Diameter of Unsymmetrical Threads is the diameter of the wire in thread measurements.

How to calculate Pitch diameter unsymmetrical threads?

The Pitch diameter unsymmetrical threads formula is defined as the diameter where the thread thickness is equal to the space between the threads is calculated using 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)). To calculate Pitch diameter unsymmetrical threads, you need Micrometer Reading of Unsymmetrical Threads (M_u), Screw Pitch of Unsymmetrical Threads (P_u), Large Angle (a₁), Small Angle (a₂) & Wire Diameter of Unsymmetrical Threads (G_u). With our tool, you need to enter the respective value for Micrometer Reading of Unsymmetrical Threads, Screw Pitch of Unsymmetrical Threads, Large Angle, Small Angle & Wire Diameter of Unsymmetrical Threads 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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