Pitch of screw unsymmetrical threads Solution

STEP 0: Pre-Calculation Summary
Formula Used
Screw Pitch of Unsymmetrical Threads = (Pitch Diameter of Unsymmetrical Threads+Wire Diameter of Unsymmetrical Threads*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))-Micrometer Reading of Unsymmetrical Threads)*(tan(Large Angle)+tan(Small Angle))
Pu = (Du+Gu*(1+cosec((a1+a2)/2)*cos((a1-a2)/2))-Mu)*(tan(a1)+tan(a2))
This formula uses 4 Functions, 6 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(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 Unsymmetrical Threads - (Measured in Meter) - Screw Pitch of Unsymmetrical Threads is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.
Pitch Diameter of Unsymmetrical Threads - (Measured in Meter) - Pitch Diameter of Unsymmetrical Threads is the diameter of the basic cylindrical shape on which threads are created.
Wire Diameter of Unsymmetrical Threads - (Measured in Meter) - The Wire Diameter of Unsymmetrical Threads is the diameter of the wire in thread measurements.
Large Angle - (Measured in Radian) - Large angle is the angle specified by the manufacturer of given unsymmetrical thread.
Small Angle - (Measured in Radian) - A Small Angle is an angle specified by the manufacturer for the given thread.
Micrometer Reading of Unsymmetrical Threads - (Measured in Meter) - Micrometer Reading of Unsymmetrical Threads 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 Unsymmetrical Threads: 6.99 Millimeter --> 0.00699 Meter (Check conversion here)
Wire Diameter of Unsymmetrical Threads: 1.66 Millimeter --> 0.00166 Meter (Check conversion here)
Large Angle: 0.5 Degree --> 0.00872664625997001 Radian (Check conversion here)
Small Angle: 0.2 Degree --> 0.003490658503988 Radian (Check conversion here)
Micrometer Reading of Unsymmetrical Threads: 35.66 Millimeter --> 0.03566 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pu = (Du+Gu*(1+cosec((a1+a2)/2)*cos((a1-a2)/2))-Mu)*(tan(a1)+tan(a2)) --> (0.00699+0.00166*(1+cosec((0.00872664625997001+0.003490658503988)/2)*cos((0.00872664625997001-0.003490658503988)/2))-0.03566)*(tan(0.00872664625997001)+tan(0.003490658503988))
Evaluating ... ...
Pu = 0.00299007755531176
STEP 3: Convert Result to Output's Unit
0.00299007755531176 Meter -->2.99007755531176 Millimeter (Check conversion here)
FINAL ANSWER
2.99007755531176 2.990078 Millimeter <-- Screw Pitch of Unsymmetrical Threads
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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6 Unsymmetrical threads Calculators

Pitch diameter unsymmetrical threads
Go Pitch Diameter of Unsymmetrical Threads = Micrometer Reading of Unsymmetrical Threads+(Screw Pitch of Unsymmetrical Threads/(tan(Large Angle)+tan(Small Angle)))-Wire Diameter of Unsymmetrical Threads*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))
Pitch of screw unsymmetrical threads
Go Screw Pitch of Unsymmetrical Threads = (Pitch Diameter of Unsymmetrical Threads+Wire Diameter of Unsymmetrical Threads*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))-Micrometer Reading of Unsymmetrical Threads)*(tan(Large Angle)+tan(Small Angle))
Micrometer reading per measurement
Go Micrometer Reading of Unsymmetrical Threads = Pitch Diameter of Unsymmetrical Threads-(Screw Pitch of Unsymmetrical Threads/(tan(Large Angle)+tan(Small Angle)))+Wire Diameter of Unsymmetrical Threads*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))
Best size wire
Go Wire Diameter of Unsymmetrical Threads = Screw Pitch of Unsymmetrical Threads*((tan((Large Angle+Small Angle)/2)*sec(Large Angle))/(tan(Large Angle)+tan(Small Angle)))
Best wire size for modified buttress 45deg and 7deg
Go Wire Diameter of Unsymmetrical Threads = 0.54147*Screw Pitch of Unsymmetrical Threads
Pitch for modified buttress 45deg and 7deg
Go Screw Pitch of Unsymmetrical Threads = Wire Diameter of Unsymmetrical Threads/0.54147

Pitch of screw unsymmetrical threads Formula

Screw Pitch of Unsymmetrical Threads = (Pitch Diameter of Unsymmetrical Threads+Wire Diameter of Unsymmetrical Threads*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))-Micrometer Reading of Unsymmetrical Threads)*(tan(Large Angle)+tan(Small Angle))
Pu = (Du+Gu*(1+cosec((a1+a2)/2)*cos((a1-a2)/2))-Mu)*(tan(a1)+tan(a2))

What is the use of Three wire method ?

The accurate measurement of thread pitch diameter, which may be perfect as to form and lead, presents certain difficulties which result in some uncertainty as to its true value. The adoption of a standard uniform practice in making such measurements is, therefore, desirable in order to reduce such uncertainty of measurement to a minimum. The “three-wire method” of measuring thread pitch diameter, has been found to be the most generally satisfactory method when properly carried out, and is recommended for universal use in the direct measurement of thread plug and thread setting plug gauges.

How to Calculate Pitch of screw unsymmetrical threads?

Pitch of screw unsymmetrical threads calculator uses Screw Pitch of Unsymmetrical Threads = (Pitch Diameter of Unsymmetrical Threads+Wire Diameter of Unsymmetrical Threads*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))-Micrometer Reading of Unsymmetrical Threads)*(tan(Large Angle)+tan(Small Angle)) to calculate the Screw Pitch of Unsymmetrical Threads, The Pitch of screw unsymmetrical threads formula is defined as the distance from a point on the screw thread to a corresponding point on the next thread measured parallel to the axis of the thread. It is represented by the letter p. (p=1/n). Screw Pitch of Unsymmetrical Threads is denoted by Pu symbol.

How to calculate Pitch of screw unsymmetrical threads using this online calculator? To use this online calculator for Pitch of screw unsymmetrical threads, enter Pitch Diameter of Unsymmetrical Threads (Du), Wire Diameter of Unsymmetrical Threads (Gu), Large Angle (a1), Small Angle (a2) & Micrometer Reading of Unsymmetrical Threads (Mu) and hit the calculate button. Here is how the Pitch of screw unsymmetrical threads calculation can be explained with given input values -> 2990.078 = (0.00699+0.00166*(1+cosec((0.00872664625997001+0.003490658503988)/2)*cos((0.00872664625997001-0.003490658503988)/2))-0.03566)*(tan(0.00872664625997001)+tan(0.003490658503988)).

FAQ

What is Pitch of screw unsymmetrical threads?
The Pitch of screw unsymmetrical threads formula is defined as the distance from a point on the screw thread to a corresponding point on the next thread measured parallel to the axis of the thread. It is represented by the letter p. (p=1/n) and is represented as Pu = (Du+Gu*(1+cosec((a1+a2)/2)*cos((a1-a2)/2))-Mu)*(tan(a1)+tan(a2)) or Screw Pitch of Unsymmetrical Threads = (Pitch Diameter of Unsymmetrical Threads+Wire Diameter of Unsymmetrical Threads*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))-Micrometer Reading of Unsymmetrical Threads)*(tan(Large Angle)+tan(Small Angle)). Pitch Diameter of Unsymmetrical Threads is the diameter of the basic cylindrical shape on which threads are created, The Wire Diameter of Unsymmetrical Threads is the diameter of the wire in thread measurements, Large angle is the angle specified by the manufacturer of given unsymmetrical thread, A Small Angle is an angle specified by the manufacturer for the given thread & Micrometer Reading of Unsymmetrical Threads is the reading of an instrument which can measure thickness of very small objects.
How to calculate Pitch of screw unsymmetrical threads?
The Pitch of screw unsymmetrical threads formula is defined as the distance from a point on the screw thread to a corresponding point on the next thread measured parallel to the axis of the thread. It is represented by the letter p. (p=1/n) is calculated using Screw Pitch of Unsymmetrical Threads = (Pitch Diameter of Unsymmetrical Threads+Wire Diameter of Unsymmetrical Threads*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))-Micrometer Reading of Unsymmetrical Threads)*(tan(Large Angle)+tan(Small Angle)). To calculate Pitch of screw unsymmetrical threads, you need Pitch Diameter of Unsymmetrical Threads (Du), Wire Diameter of Unsymmetrical Threads (Gu), Large Angle (a1), Small Angle (a2) & Micrometer Reading of Unsymmetrical Threads (Mu). With our tool, you need to enter the respective value for Pitch Diameter of Unsymmetrical Threads, Wire Diameter of Unsymmetrical Threads, Large Angle, Small Angle & Micrometer Reading of Unsymmetrical Threads 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 Unsymmetrical Threads?
In this formula, Screw Pitch of Unsymmetrical Threads uses Pitch Diameter of Unsymmetrical Threads, Wire Diameter of Unsymmetrical Threads, Large Angle, Small Angle & Micrometer Reading of Unsymmetrical Threads. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Screw Pitch of Unsymmetrical Threads = Wire Diameter of Unsymmetrical Threads/0.54147
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