Enter the pitch and the wire diameter into the calculator to determine the thread wire constant. This constant is used in measuring the accuracy of thread pitch diameters.

Thread Wire Constant Formula

The following formula is used to calculate the thread wire constant.

C = frac{1}{P} - (D times 0.86603)

Variables:

  • C is the thread wire constant (inches)
  • P is the pitch (threads per inch)
  • D is the wire diameter (inches)

To calculate the thread wire constant, subtract the product of the wire diameter and 0.86603 from the reciprocal of the pitch.

What is a Thread Wire Constant?

The thread wire constant is a value used in precision measurement of screw threads. It is derived from the pitch of the thread and the diameter of the measuring wire used in the three-wire measurement method. This constant is critical for ensuring accurate and consistent measurements in machining and quality control processes.

How to Calculate Thread Wire Constant?

The following steps outline how to calculate the Thread Wire Constant.


  1. First, determine the pitch (P) of the thread in threads per inch.
  2. Next, determine the wire diameter (D) in inches.
  3. Next, gather the formula from above = C = (1/P) – (D × 0.86603).
  4. Finally, calculate the Thread Wire Constant (C) in inches.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem :

Use the following variables as an example problem to test your knowledge.

Pitch (P) = 20 threads per inch

Wire Diameter (D) = 0.035 inches