Pitch of thread given ideal wire diameter Calculator

✖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.ⓘ Pitch of thread given ideal wire diameter [P_m]

⎘ Copy

👎

Formula

✖

Pitch of thread given ideal wire diameter

Formula

`"P"_{"m"} = (2*"G"_{"m"})/sec("θ"/2)`

Example

`"4.300062mm"=(2*"2.52mm")/sec("62.88°"/2)`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF

Pitch of thread given ideal wire diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Screw Pitch of Metric Thread = (2*Wire Diameter Metric Thread)/sec(Thread Angle/2)
P_m = (2*G_m)/sec(θ/2)
This formula uses 1 Functions, 3 Variables

Functions Used

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)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Wire Diameter Metric Thread: 2.52 Millimeter --> 0.00252 Meter (Check conversion here)
Thread Angle: 62.88 Degree --> 1.09746303365383 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_m = (2*G_m)/sec(θ/2) --> (2*0.00252)/sec(1.09746303365383/2)

Evaluating ... ...

P_m = 0.00430006175403524

STEP 3: Convert Result to Output's Unit

0.00430006175403524 Meter -->4.30006175403524 Millimeter (Check conversion here)

FINAL ANSWER

4.30006175403524 ≈ 4.300062 Millimeter <-- Screw Pitch 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 of thread given ideal wire diameter

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 of thread given ideal wire diameter Formula

Screw Pitch of Metric Thread = (2*Wire Diameter Metric Thread)/sec(Thread Angle/2)
P_m = (2*G_m)/sec(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 given ideal wire diameter?

Pitch of thread given ideal wire diameter calculator uses Screw Pitch of Metric Thread = (2*Wire Diameter Metric Thread)/sec(Thread Angle/2) to calculate the Screw Pitch of Metric Thread, Pitch of thread given ideal wire diameter formula is defined as distance from point on screw thread to corresponding point on next thread measured parallel to axis using best diameter wire in three-wire method. Screw Pitch of Metric Thread is denoted by P_m symbol.

How to calculate Pitch of thread given ideal wire diameter using this online calculator? To use this online calculator for Pitch of thread given ideal wire diameter, enter Wire Diameter Metric Thread (G_m) & Thread Angle (θ) and hit the calculate button. Here is how the Pitch of thread given ideal wire diameter calculation can be explained with given input values -> 4364.768 = (2*0.00252)/sec(1.09746303365383/2).

FAQ

What is Pitch of thread given ideal wire diameter?

Pitch of thread given ideal wire diameter formula is defined as distance from point on screw thread to corresponding point on next thread measured parallel to axis using best diameter wire in three-wire method and is represented as P_m = (2*G_m)/sec(θ/2) or Screw Pitch of Metric Thread = (2*Wire Diameter Metric Thread)/sec(Thread Angle/2). 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.

How to calculate Pitch of thread given ideal wire diameter?

Pitch of thread given ideal wire diameter formula is defined as distance from point on screw thread to corresponding point on next thread measured parallel to axis using best diameter wire in three-wire method is calculated using Screw Pitch of Metric Thread = (2*Wire Diameter Metric Thread)/sec(Thread Angle/2). To calculate Pitch of thread given ideal wire diameter, you need Wire Diameter Metric Thread (G_m) & Thread Angle (θ). With our tool, you need to enter the respective value for Wire Diameter Metric Thread & Thread Angle 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 of Metric Thread?

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

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)

Home

FREE PDFs

🔍 Search