Pitch of thread from three wire system method Calculator

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

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Pitch of thread from three wire system method Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Pitch Diameter - (Measured in Meter) - Pitch Diameter is the diameter of the basic cylindrical shape on which threads are created.
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.
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

Pitch Diameter: 7 Millimeter --> 0.007 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)
Micrometer Reading: 8.2 Millimeter --> 0.0082 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (D+G_m*(1+cosec(θ))-M)/(cot(θ)/2) --> (0.007+0.00174*(1+cosec(1.0471975511964))-0.0082)/(cot(1.0471975511964)/2)

Evaluating ... ...

P = 0.00883061487217115

STEP 3: Convert Result to Output's Unit

0.00883061487217115 Meter -->8.83061487217115 Millimeter (Check conversion here)

FINAL ANSWER

8.83061487217115 ≈ 8.830615 Millimeter <-- Screw Pitch

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

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

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< Metric Thread Calculators

Diameter of Wire used in Three Wire System Method

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

Pitch diameter from three wire system method

LaTeX 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

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

Ideal wire diameter in three wire system method

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

Pitch of thread from three wire system method Formula

LaTeX Go

Screw Pitch = (Pitch Diameter+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-Micrometer Reading)/(cot(Thread Angle)/2)
P = (D+G_m*(1+cosec(θ))-M)/(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 of thread from three wire system method?

Pitch of thread from three wire system method calculator uses Screw Pitch = (Pitch Diameter+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-Micrometer Reading)/(cot(Thread Angle)/2) to calculate the Screw Pitch, The Pitch of thread from three wire system method formula is defined as the distance between corresponding points on adjacent threads in the same axial plane along the length of the screw or bolt. In simpler terms, it is the measurement from one thread crest to the next crest, measured parallel to the axis of the threaded component. Screw Pitch is denoted by P symbol.

How to calculate Pitch of thread from three wire system method using this online calculator? To use this online calculator for Pitch of thread from three wire system method, enter Pitch Diameter (D), Wire Diameter Metric Thread (G_m), Thread Angle (θ) & Micrometer Reading (M) and hit the calculate button. Here is how the Pitch of thread from three wire system method calculation can be explained with given input values -> 9443.774 = (0.007+0.00174*(1+cosec(1.0471975511964))-0.0082)/(cot(1.0471975511964)/2).

FAQ

What is Pitch of thread from three wire system method?

The Pitch of thread from three wire system method formula is defined as the distance between corresponding points on adjacent threads in the same axial plane along the length of the screw or bolt. In simpler terms, it is the measurement from one thread crest to the next crest, measured parallel to the axis of the threaded component and is represented as P = (D+G_m*(1+cosec(θ))-M)/(cot(θ)/2) or Screw Pitch = (Pitch Diameter+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-Micrometer Reading)/(cot(Thread Angle)/2). Pitch Diameter is the diameter of the basic cylindrical shape on which threads are created, 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 & Micrometer Reading is the reading of an instrument which can measure thickness of very small objects.

How to calculate Pitch of thread from three wire system method?

The Pitch of thread from three wire system method formula is defined as the distance between corresponding points on adjacent threads in the same axial plane along the length of the screw or bolt. In simpler terms, it is the measurement from one thread crest to the next crest, measured parallel to the axis of the threaded component is calculated using Screw Pitch = (Pitch Diameter+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-Micrometer Reading)/(cot(Thread Angle)/2). To calculate Pitch of thread from three wire system method, you need Pitch Diameter (D), Wire Diameter Metric Thread (G_m), Thread Angle (θ) & Micrometer Reading (M). With our tool, you need to enter the respective value for Pitch Diameter, Wire Diameter Metric Thread, Thread 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 Pitch Diameter, Wire Diameter Metric Thread, Thread Angle & Micrometer Reading. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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