Pitch of Screw Unsymmetrical Threads Calculator

✖Thickness of Screw in threaded fasteners, is the diameter at which the width of the thread ridge and the groove are equal.ⓘ Thickness of Screw [D_u]			+10% -10%
✖Wire Diameter is the diameter of the wire in thread measurements.ⓘ Wire Diameter [G]			+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%
✖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.ⓘ Pitch of Screw Unsymmetrical Threads [P]

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Pitch of Screw Unsymmetrical Threads Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
P = (D_u+G*(1+cosec((a₁+a₂)/2)*cos((a₁-a₂)/2))-M)*(tan(a₁)+tan(a₂))
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

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.
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.
Wire Diameter - (Measured in Meter) - Wire Diameter is the diameter of the wire in thread measurements.
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.
Micrometer Reading - (Measured in Meter) - Micrometer Reading is the reading of an instrument which can measure thickness of very small objects.

STEP 1: Convert Input(s) to Base Unit

Thickness of Screw: 56.2 Millimeter --> 0.0562 Meter (Check conversion here)
Wire Diameter: 1.2 Millimeter --> 0.0012 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)
Micrometer Reading: 8.2 Millimeter --> 0.0082 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (D_u+G*(1+cosec((a₁+a₂)/2)*cos((a₁-a₂)/2))-M)*(tan(a₁)+tan(a₂)) --> (0.0562+0.0012*(1+cosec((0.00872664625997001+0.003490658503988)/2)*cos((0.00872664625997001-0.003490658503988)/2))-0.0082)*(tan(0.00872664625997001)+tan(0.003490658503988))

Evaluating ... ...

P = 0.00300115599615783

STEP 3: Convert Result to Output's Unit

0.00300115599615783 Meter -->3.00115599615783 Millimeter (Check conversion here)

FINAL ANSWER

3.00115599615783 ≈ 3.001156 Millimeter <-- Screw Pitch

(Calculation completed in 00.004 seconds)

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

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< Unsymmetrical Threads Calculators

Pitch diameter unsymmetrical threads

LaTeX 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

LaTeX 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

LaTeX 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

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

Pitch of Screw Unsymmetrical Threads Formula

LaTeX Go

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 of Screw Unsymmetrical Threads?

Pitch of Screw Unsymmetrical Threads calculator uses 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)) to calculate the Screw Pitch, The Pitch of Screw Unsymmetrical Threads formula is defined as the distance from a point on the screw thread to a corresponding point on the next thread measured parallel to the axis of the thread. It is represented by the letter p. (p=1/n). Screw Pitch is denoted by P symbol.

How to calculate Pitch of Screw Unsymmetrical Threads using this online calculator? To use this online calculator for Pitch of Screw Unsymmetrical Threads, enter Thickness of Screw (D_u), Wire Diameter (G), Large Angle (a₁), Small Angle (a₂) & Micrometer Reading (M) and hit the calculate button. Here is how the Pitch of Screw Unsymmetrical Threads calculation can be explained with given input values -> 3169.758 = (0.0562+0.0012*(1+cosec((0.00872664625997001+0.003490658503988)/2)*cos((0.00872664625997001-0.003490658503988)/2))-0.0082)*(tan(0.00872664625997001)+tan(0.003490658503988)).

FAQ

What is Pitch of Screw Unsymmetrical Threads?

The Pitch of Screw Unsymmetrical Threads formula is defined as the distance from a point on the screw thread to a corresponding point on the next thread measured parallel to the axis of the thread. It is represented by the letter p. (p=1/n) and is represented as P = (D_u+G*(1+cosec((a₁+a₂)/2)*cos((a₁-a₂)/2))-M)*(tan(a₁)+tan(a₂)) or 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)). Thickness of Screw in threaded fasteners, is the diameter at which the width of the thread ridge and the groove are equal, Wire Diameter is the diameter of the wire in thread measurements, 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 & Micrometer Reading is the reading of an instrument which can measure thickness of very small objects.

How to calculate Pitch of Screw Unsymmetrical Threads?

The Pitch of Screw Unsymmetrical Threads formula is defined as the distance from a point on the screw thread to a corresponding point on the next thread measured parallel to the axis of the thread. It is represented by the letter p. (p=1/n) is calculated using 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)). To calculate Pitch of Screw Unsymmetrical Threads, you need Thickness of Screw (D_u), Wire Diameter (G), Large Angle (a₁), Small Angle (a₂) & Micrometer Reading (M). With our tool, you need to enter the respective value for Thickness of Screw, Wire Diameter, Large Angle, Small Angle & Micrometer Reading 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 Screw Pitch?

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

Screw Pitch = Wire Diameter/0.54147

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