What is PCD? How to calculate the distance between the two adjacent holes?
PCD stands for pitch circle diameter. If there are certain number of holes are in a circle and divided equally then we say the diameter of the circle as pitch circle diameter. To calculate the division (distance between two nearby holes) of the PCD , multiply the diameter of the pitch circle and the given factor in the table. For instance, If 10 holes to be equally divided in a 100 mm pitch circle then the division, a = dia x 0.309 = 100 x 0.309 = 30.90 mm. You can find the table at the end of this article.
What is PCD? How to calculate the distance between the two adjacent holes?
PCD:
PCD stands for pitch circle diameter. If there are certain number of holes are in a circle and divided equally then we say the diameter of the circle as pitch circle diameter.
How to calculate it?
It differs according to the number of holes in the circle.
1.For three holes:
The total degree of the circle = 360^{0}
If we form a triangle joining the centre of the circle and the centre of the two adjacent holes as shown in the figure,
We could see the adjacent sides of the triangle forms degree Ñ² and if we divide the triangle into two it forms a right angle triangle with Ñ²/2 degree.
Ñ² = 360^{0}/3 = 120^{0}
Ñ²/2 = 60^{0}
We know that for a right angle triangle,
a = d x 0.866
Here d means pitch circle diameter. So the distance between the two adjacent holes, a = pcd x 0.866.
2.For four holes:
The total degree of the circle = 360^{0}
If we form a triangle joining the centre of the circle and the centre of the two adjacent holes as shown in the figure,
We could see the adjacent sides of the triangle forms degree Ñ² and if we divide the triangle into two it forms a right angle triangle with Ñ²/2 degree.
Ñ² = 360^{0}/4 = 90^{0}
Ñ²/2 = 45^{0}
We know that for a right angle triangle,
a = d x 0.7071
a = pcd x 0.7071
3.For five holes:
The total degree of the circle = 360^{0}
If we form a triangle joining the centre of the circle and the centre of the two adjacent holes as shown in the figure,
We could see the adjacent sides of the triangle forms degree Ñ² and if we divide the triangle into two it forms a right angle triangle with Ñ²/2 degree.
Ñ² = 360^{0}/5 = 72^{0}
Ñ²/2 = 36^{0}
We know that for a right angle triangle,
a = d x 0.5878
a = pcd x 0.5878
4.For six holes:
The total degree of the circle = 360^{0}
If we form a triangle joining the centre of the circle and the centre of the two adjacent holes as shown in the figure,
We could see the adjacent sides of the triangle forms degree Ñ² and if we divide the triangle into two it forms a right angle triangle with Ñ²/2 degree.
Ñ² = 360^{0}/6 = 60^{0}
Ñ²/2 = 30^{0}
We know that for a right angle triangle,
a = d x 0.5
a = pcd x 0.5
5.For seven holes:
The total degree of the circle = 360^{0}
If we form a triangle joining the centre of the circle and the centre of the two adjacent holes as shown in the figure,
We could see the adjacent sides of the triangle forms degree Ñ² and if we divide the triangle into two it forms a right angle triangle with Ñ²/2 degree.
Ñ² = 360^{0}/7 = 51.4286^{0}
Ñ²/2 = 25.7143^{0}
We know that for a right angle triangle,
a = d x 0.4339
a = pcd x 0.4339
6.For eight holes:
The total degree of the circle = 360^{0}
If we form a triangle joining the centre of the circle and the centre of the two adjacent holes as shown in the figure,
We could see the adjacent sides of the triangle forms degree Ñ² and if we divide the triangle into two it forms a right angle triangle with Ñ²/2 degree.
Ñ² = 360^{0}/8 = 45^{0}
Ñ²/2 = 22.5^{0}
We know that for a right angle triangle,
a = d x 0.3827
a = pcd x 0.3827
7.For nine holes:
The total degree of the circle = 360^{0}
If we form a triangle joining the centre of the circle and the centre of the two adjacent holes as shown in the figure,
We could see the adjacent sides of the triangle forms degree Ñ² and if we divide the triangle into two it forms a right angle triangle with Ñ²/2 degree.
Ñ² = 360^{0}/9 = 40 Ñ²/2 = 20^{0}
We know that for a right angle triangle,
a = d x 0.342
a = pcd x 0.342
8.For ten holes:
The total degree of the circle = 360^{0}
If we form a triangle joining the centre of the circle and the centre of the two adjacent holes as shown in the figure,
We could see the adjacent sides of the triangle forms degree Ñ² and if we divide the triangle into two it forms a right angle triangle with Ñ²/2 degree.
Ñ² = 360^{0}/10 = 36^{0}
Ñ²/2 = 18^{0}
We know that for a right angle triangle,
a = d x 0.309
a = pcd x 0.309
Example problem:
Question:
In an SS flange 8 holes to be drilled equally in a circle which has 100 mm diameter. The circle is slightly marked using a tool in the lathe. But it has to be divided into eight using divider. What is the measurement to be set in the divider?
Hint: The circle is called pitch circle and the diameter of the circle is called pitch circle diameter.
Given Data:
Pitch circle diameter, pcd = 100 mm
Solution:
The formula from the article to divide the pitch circle into eight is
a = pcd x 0.3827
a = 100 x 0.3827
a = 38.27 mm
Answer:
The measurement to be set in the divider is 38.27 mm.
Explanation:
The total degree of the circle = 360^{0}
If we form a triangle as shown in the figure,
We could see the adjacent sides of the triangle forms degree Ñ² and if we divide the triangle into two it forms a right angle triangle with Ñ²/2 degree.
Ñ² = 360^{0}/8 = 45^{0}
Ñ²/2 = 22.5^{0}
We know that for a right angle triangle,
a = d x 0.3827
a = pcd x 0.3827
a = 100 x 0.3827
a = 38.27mm
Summary:
PCD division table:
No. of holes in the Pitch Circle 
Diagram 
Formula 
Formula 
3 holes 

a = dia x 0.866 
a = pcd x 0.866 
4 holes 

a = dia x 0.7071 
a = pcd x 0.7071 
5 holes 

a = dia x 0.5878 
a = pcd x 0.5878 
6 holes 

a = dia x 0.5 
a = pcd x 0.5 
7 holes 

a = dia x 0.4339 
a = pcd x 0.4339 
8 holes 

a = dia x 0.3827 
a = pcd x 0.3827 
9 holes 

a = dia x 0.342 
a = pcd x 0.342 
10 holes 

a = dia x 0.309

a = pcd x 0.309 
Note: To calculate the division of the PCD, multiply the diameter of the pitch circle and the given factor in the table. If 10 holes to be divided in a 100 mm pitch circle then the division, a = dia x 0.309 = 100 x 0.309 = 30.90 mm.
