Pitch diameter from three wire system method Calculator

✖Micrometer Reading of Metric Thread is the reading of an instrument which can measure thickness of very small objects.ⓘ Micrometer Reading of Metric Thread [M_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.ⓘ 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 of Metric Thread is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.ⓘ Screw Pitch of Metric Thread [P_m]			+10% -10%

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

⎘ Copy

👎

Formula

✖

Pitch diameter from three wire system method

Formula

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

Example

`"6.929868mm"="11.18mm"-("2.52mm"*(1+cosec("62.88°"))-("4.3mm"*cot("62.88°"))/2)`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF PDF Image

Pitch diameter from three wire system method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pitch Diameter of Metric Thread = Micrometer Reading of Metric Thread-(Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch of Metric Thread*cot(Thread Angle))/2)
D_m = M_m-(G_m*(1+cosec(θ))-(P_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

Pitch Diameter of Metric Thread - (Measured in Meter) - Pitch Diameter of Metric Thread is the diameter of the basic cylindrical shape on which threads are created.
Micrometer Reading of Metric Thread - (Measured in Meter) - Micrometer Reading of Metric Thread 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.
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 of Metric Thread - (Measured in Meter) - Screw Pitch of Metric Thread 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 of Metric Thread: 11.18 Millimeter --> 0.01118 Meter (Check conversion here)
Wire Diameter Metric Thread: 2.52 Millimeter --> 0.00252 Meter (Check conversion here)
Thread Angle: 62.88 Degree --> 1.09746303365383 Radian (Check conversion here)
Screw Pitch of Metric Thread: 4.3 Millimeter --> 0.0043 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_m = M_m-(G_m*(1+cosec(θ))-(P_m*cot(θ))/2) --> 0.01118-(0.00252*(1+cosec(1.09746303365383))-(0.0043*cot(1.09746303365383))/2)

Evaluating ... ...

D_m = 0.00692986804166767

STEP 3: Convert Result to Output's Unit

0.00692986804166767 Meter -->6.92986804166767 Millimeter (Check conversion here)

FINAL ANSWER

6.92986804166767 ≈ 6.929868 Millimeter <-- Pitch Diameter of Metric Thread

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Rajat Vishwakarma

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

Rajat Vishwakarma has created this Calculator and 400+ more calculators!

Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

< 7 Metric Thread Calculators

Diameter of wire used in three wire system method

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

Pitch of thread from three wire system method

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

Pitch diameter from three wire system method

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

Micrometer reading from three wire system method

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

Thread angle given ideal wire diameter

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

Ideal wire diameter in three wire system method

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

Pitch of thread given ideal wire diameter

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

Pitch diameter from three wire system method Formula

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 of Metric Thread = Micrometer Reading of Metric Thread-(Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch of Metric Thread*cot(Thread Angle))/2) to calculate the Pitch Diameter of Metric Thread, 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 of Metric Thread is denoted by D_m 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 of Metric Thread (M_m), Wire Diameter Metric Thread (G_m), Thread Angle (θ) & Screw Pitch of Metric Thread (P_m) and hit the calculate button. Here is how the Pitch diameter from three wire system method calculation can be explained with given input values -> 6991.458 = 0.01118-(0.00252*(1+cosec(1.09746303365383))-(0.0043*cot(1.09746303365383))/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 = M_m-(G_m*(1+cosec(θ))-(P_m*cot(θ))/2) or Pitch Diameter of Metric Thread = Micrometer Reading of Metric Thread-(Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch of Metric Thread*cot(Thread Angle))/2). Micrometer Reading of Metric Thread 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, Thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis & Screw Pitch of Metric Thread 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 of Metric Thread = Micrometer Reading of Metric Thread-(Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch of Metric Thread*cot(Thread Angle))/2). To calculate Pitch diameter from three wire system method, you need Micrometer Reading of Metric Thread (M_m), Wire Diameter Metric Thread (G_m), Thread Angle (θ) & Screw Pitch of Metric Thread (P_m). With our tool, you need to enter the respective value for Micrometer Reading of Metric Thread, Wire Diameter Metric Thread, Thread Angle & Screw Pitch of Metric Thread and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search