✖Micrometer Reading is the reading of an instrument which can measure thickness of very small objects.ⓘ Micrometer Reading [M]			+10% -10%
✖Wire Diameter Metric Thread is any straight line segment that passes through the center of the wire circle and whose endpoints lie on the wire circle in the metric measurement system.ⓘ Wire Diameter Metric Thread [G_m]			+10% -10%
✖Thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis.ⓘ Thread Angle [θ]			+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%

✖Pitch Diameter is the diameter of the basic cylindrical shape on which threads are created.ⓘ Pitch diameter from three wire system method [D]

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Formula

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Pitch diameter from three wire system method

Formula

`"D" = "M"-("G"_{"m"}*(1+cosec("θ"))-("P"*cot("θ"))/2)`

Example

`"5.316846mm"="8.2mm"-("1.74mm"*(1+cosec("60°"))-("3mm"*cot("60°"))/2)`

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Pitch diameter from three wire system method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pitch Diameter = Micrometer Reading-(Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch*cot(Thread Angle))/2)
D = M-(G_m*(1+cosec(θ))-(P*cot(θ))/2)
This formula uses 3 Functions, 5 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(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 - (Measured in Meter) - Pitch Diameter is the diameter of the basic cylindrical shape on which threads are created.
Micrometer Reading - (Measured in Meter) - Micrometer Reading is the reading of an instrument which can measure thickness of very small objects.
Wire Diameter Metric Thread - (Measured in Meter) - Wire Diameter Metric Thread is any straight line segment that passes through the center of the wire circle and whose endpoints lie on the wire circle in the metric measurement system.
Thread Angle - (Measured in Radian) - Thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis.
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.

STEP 1: Convert Input(s) to Base Unit

Micrometer Reading: 8.2 Millimeter --> 0.0082 Meter (Check conversion here)
Wire Diameter Metric Thread: 1.74 Millimeter --> 0.00174 Meter (Check conversion here)
Thread Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
Screw Pitch: 3 Millimeter --> 0.003 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = M-(G_m*(1+cosec(θ))-(P*cot(θ))/2) --> 0.0082-(0.00174*(1+cosec(1.0471975511964))-(0.003*cot(1.0471975511964))/2)

Evaluating ... ...

D = 0.00531684646700471

STEP 3: Convert Result to Output's Unit

0.00531684646700471 Meter -->5.31684646700471 Millimeter (Check conversion here)

FINAL ANSWER

5.31684646700471 ≈ 5.316846 Millimeter <-- Pitch Diameter

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metrology » Thread Measurement » Three Wires System Method » Metric Thread » Pitch diameter from three wire system method

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< 7 Metric Thread Calculators

Diameter of Wire used in Three Wire System Method

Go Wire Diameter Metric Thread = (Micrometer Reading-Pitch Diameter+(Screw Pitch*cot(Thread Angle))/2)/(1+cosec(Thread Angle))

Pitch of thread from three wire system method

Go Screw Pitch = (Pitch Diameter+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-Micrometer Reading)/(cot(Thread Angle)/2)

Pitch diameter from three wire system method

Go Pitch Diameter = Micrometer Reading-(Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch*cot(Thread Angle))/2)

Micrometer reading from three wire system method

Go Micrometer Reading = Pitch Diameter+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch*cot(Thread Angle))/2

Thread Angle given Ideal Wire Diameter

Go Thread Angle = 2*arcsec((2*Wire Diameter Metric Thread)/Screw Pitch)

Ideal wire diameter in three wire system method

Go Wire Diameter Metric Thread = (Screw Pitch/2)*sec(Thread Angle/2)

Pitch of thread given ideal wire diameter

Go Screw Pitch = (2*Wire Diameter Metric Thread)/sec(Thread Angle/2)

Pitch diameter from three wire system method Formula

Pitch Diameter = Micrometer Reading-(Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch*cot(Thread Angle))/2)
D = M-(G_m*(1+cosec(θ))-(P*cot(θ))/2)

What is pitch? What is pitch diameter?

Pitch is the distance from a point on the screw thread to a corresponding point on the next thread measured parallel to the axis. Pitch Diameter is the simple effective diameter of the screw thread, approximately halfway between the major and minor diameters.

How to Calculate Pitch diameter from three wire system method?

Pitch diameter from three wire system method calculator uses Pitch Diameter = Micrometer Reading-(Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch*cot(Thread Angle))/2) to calculate the Pitch Diameter, The Pitch Diameter from Three Wire System Method formula is defined as the simple effective diameter of screw thread, approximately halfway between the major and minor diameters. Pitch Diameter is denoted by D symbol.

How to calculate Pitch diameter from three wire system method using this online calculator? To use this online calculator for Pitch diameter from three wire system method, enter Micrometer Reading (M), Wire Diameter Metric Thread (G_m), Thread Angle (θ) & Screw Pitch (P) and hit the calculate button. Here is how the Pitch diameter from three wire system method calculation can be explained with given input values -> 5286.892 = 0.0082-(0.00174*(1+cosec(1.0471975511964))-(0.003*cot(1.0471975511964))/2).

FAQ

What is Pitch diameter from three wire system method?

The Pitch Diameter from Three Wire System Method formula is defined as the simple effective diameter of screw thread, approximately halfway between the major and minor diameters and is represented as D = M-(G_m*(1+cosec(θ))-(P*cot(θ))/2) or Pitch Diameter = Micrometer Reading-(Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch*cot(Thread Angle))/2). Micrometer Reading is the reading of an instrument which can measure thickness of very small objects, Wire Diameter Metric Thread is any straight line segment that passes through the center of the wire circle and whose endpoints lie on the wire circle in the metric measurement system, Thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis & Screw Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.

How to calculate Pitch diameter from three wire system method?

The Pitch Diameter from Three Wire System Method formula is defined as the simple effective diameter of screw thread, approximately halfway between the major and minor diameters is calculated using Pitch Diameter = Micrometer Reading-(Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch*cot(Thread Angle))/2). To calculate Pitch diameter from three wire system method, you need Micrometer Reading (M), Wire Diameter Metric Thread (G_m), Thread Angle (θ) & Screw Pitch (P). With our tool, you need to enter the respective value for Micrometer Reading, Wire Diameter Metric Thread, Thread Angle & Screw Pitch 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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