Enter the screw size and the countersink angle into the calculator to determine the countersink diameter. This calculator helps in designing and manufacturing processes where countersunk screws are used.
Countersink Diameter Formula
The following formula is used to calculate the countersink diameter.
CD = S / cos(θ / 2)
Variables:
- CD is the countersink diameter (inches)
- S is the screw size (inches)
- θ is the countersink angle (degrees)
To calculate the countersink diameter, divide the screw size by the cosine of half the countersink angle.
What is a Countersink Diameter?
Countersink diameter is the diameter of the conical hole cut into a manufactured object to allow a screw to be flush with or below the surface of the material. The countersink diameter is larger than the screw diameter and is determined by the screw size and the countersink angle. This measurement is critical for ensuring that the screw fits properly and that the surface is smooth after the screw is installed.
How to Calculate Countersink Diameter?
The following steps outline how to calculate the Countersink Diameter.
- First, determine the screw size (S) in inches.
- Next, determine the countersink angle (θ) in degrees.
- Next, gather the formula from above = CD = S / cos(θ / 2).
- Finally, calculate the Countersink Diameter (CD) in inches.
- 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.
screw size (S) = 0.25 inches
countersink angle (θ) = 82 degrees
