Pitch of thread from three wire system method Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Pm = (Dm+Gm*(1+cosec(θ))-Mm)/(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 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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Pitch Diameter of Metric Thread: 7 Millimeter --> 0.007 Meter (Check conversion here)
Wire Diameter Metric Thread: 5.5 Millimeter --> 0.0055 Meter (Check conversion here)
Thread Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
Micrometer Reading of Metric Thread: 12 Millimeter --> 0.012 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pm = (Dm+Gm*(1+cosec(θ))-Mm)/(cot(θ)/2) --> (0.007+0.0055*(1+cosec(1.0471975511964))-0.012)/(cot(1.0471975511964)/2)
Evaluating ... ...
Pm = 0.0237320508075605
STEP 3: Convert Result to Output's Unit
0.0237320508075605 Meter -->23.7320508075605 Millimeter (Check conversion here)
FINAL ANSWER
23.7320508075605 23.73205 Millimeter <-- Screw Pitch of Metric Thread
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
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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 from three wire system method Formula

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)
Pm = (Dm+Gm*(1+cosec(θ))-Mm)/(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 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) to calculate the Screw Pitch of Metric Thread, The Pitch of thread from three wire system method formula is defined as distance between two consecutive points on thread. Screw Pitch of Metric Thread is denoted by Pm 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 of Metric Thread (Dm), Wire Diameter Metric Thread (Gm), Thread Angle (θ) & Micrometer Reading of Metric Thread (Mm) 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 -> 23732.05 = (0.007+0.0055*(1+cosec(1.0471975511964))-0.012)/(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 distance between two consecutive points on thread and is represented as Pm = (Dm+Gm*(1+cosec(θ))-Mm)/(cot(θ)/2) or 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 of Metric Thread 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, Thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis & Micrometer Reading of Metric Thread 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 distance between two consecutive points on thread is calculated using 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). To calculate Pitch of thread from three wire system method, you need Pitch Diameter of Metric Thread (Dm), Wire Diameter Metric Thread (Gm), Thread Angle (θ) & Micrometer Reading of Metric Thread (Mm). With our tool, you need to enter the respective value for Pitch Diameter of Metric Thread, Wire Diameter Metric Thread, Thread Angle & Micrometer Reading of Metric Thread 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 Pitch Diameter of Metric Thread, Wire Diameter Metric Thread, Thread Angle & Micrometer Reading of Metric Thread. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Screw Pitch of Metric Thread = (2*Wire Diameter Metric Thread)/sec(Thread Angle/2)
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