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-(Gm*(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-(Gm*(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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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 diameter from three wire system method Formula

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