Pitch Circle Diameter Engineering Drawing
PCD stands for pitch circle diameter. If there are sure number of holes are in a circle and divided equally and so 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 bore of the pitch circle and the given factor in the table. For case, If ten holes to exist equally divided in a 100 mm pitch circle then the division, a = dia x 0.309 = 100 ten 0.309 = 30.xc mm. Yous can find the table at the stop of this article.
PCD:
PCD stands for pitch circle diameter. If there are certain number of holes are in a circle and divided every bit so nosotros say the diameter of the circle as pitch circumvolve diameter.
How to calculate it?
Information technology differs according to the number of holes in the circle.
i.For three holes:
The total degree of the circle = 3600
If we form a triangle joining the eye of the circumvolve and the middle of the ii side by side holes as shown in the figure,
Nosotros could see the next sides of the triangle forms degree Ѳ and if we dissever the triangle into two it forms a right bending triangle with Ѳ/2 caste.
Ѳ = 3600/three = 1200
Ѳ/ii = 600
We know that for a right angle triangle,
a = d x 0.866
Hither d means pitch circle diameter. So the altitude between the two adjacent holes, a = pcd x 0.866.
Example problem:
Question:
In an SS flange 8 holes to be drilled as in a circle which has 100 mm diameter. The circle is slightly marked using a tool in the lathe. Merely information technology has to be divided into eight using divider. What is the measurement to exist prepare 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 split the pitch circle into viii is
a = pcd 10 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 circumvolve = 3600
If we course a triangle as shown in the figure,
Nosotros could encounter the adjacent sides of the triangle forms degree Ѳ and if we dissever the triangle into two information technology forms a correct angle triangle with Ѳ/ii degree.
Ѳ = 3600/eight = 450
Ѳ/2 = 22.50
We know that for a right angle triangle,
a = d x 0.3827
a = pcd 10 0.3827
a = 100 x 0.3827
a = 38.27mm
PCD Division Formula Table:
Here, we tin can find the pcd division using the formula given in the table.
| No. of holes in the Pitch Circle | Diagram | Formula |
|---|---|---|
| three holes | | a = pcd x 0.866 |
| iv holes | | a = pcd x 0.7071 |
| 5 holes | | a = pcd 10 0.5878 |
| 6 holes | | a = pcd x 0.5 |
| vii holes | | a = pcd x 0.4339 |
| 8 holes | | a = pcd x 0.3827 |
| 9 holes | | a = pcd 10 0.342 |
| x holes | | a = pcd 10 0.309 |
| Note: To calculate the sectionalisation of the PCD, multiply the diameter of the pitch circle and the given gene in the table. If 10 holes to be divided in a 100 mm pitch circle and then the division, a = pcd 10 0.309 = 100 x 0.309 = 30.90 mm. Hither, PCD means Pitch circle diameter and so diameter 100 is taken as PCD. | ||
Continuation for Four holes to ten holes:
2. For four holes:
The total degree of the circumvolve = 3600
If we grade a triangle joining the centre of the circle and the centre of the two adjacent holes as shown in the effigy,
We could meet the adjacent sides of the triangle forms degree Ѳ and if we divide the triangle into two information technology forms a correct angle triangle with Ѳ/2 degree.
Ѳ = 3600/4 = xc0
Ѳ/ii = 450
Nosotros know that for a right angle triangle,
a = d x 0.7071
a = pcd 10 0.7071
3.For 5 holes:
The full degree of the circle = 3600
If nosotros form a triangle joining the centre of the circle and the center of the two adjacent holes equally shown in the figure,
We could come across the adjacent sides of the triangle forms caste Ѳ and if we split the triangle into ii it forms a right bending triangle with Ѳ/2 caste.
Ѳ = 3600/5 = 720
Ѳ/2 = 360
We know that for a correct bending triangle,
a = d x 0.5878
a = pcd x 0.5878
four.For half dozen holes:
The total degree of the circle = 3600
If we form a triangle joining the centre of the circle and the centre of the two next holes as shown in the effigy,
We could see the adjacent sides of the triangle forms degree Ѳ and if nosotros separate the triangle into two information technology forms a right angle triangle with Ѳ/2 degree.
Ѳ = 3600/6 = 600
Ѳ/two = 300
We know that for a right angle triangle,
a = d x 0.5
a = pcd x 0.5
5.For seven holes:
The full degree of the circumvolve = 3600
If we grade a triangle joining the centre of the circumvolve and the eye of the two adjacent holes as shown in the figure,
We could see the side by side sides of the triangle forms degree Ѳ and if nosotros carve up the triangle into ii it forms a right angle triangle with Ѳ/ii degree.
Ѳ = 3600/seven = 51.42860
Ѳ/2 = 25.71430
Nosotros know that for a right angle triangle,
a = d 10 0.4339
a = pcd x 0.4339
6.For eight holes:
The full degree of the circle = 3600
If we class a triangle joining the centre of the circle and the center of the ii side by side holes as shown in the figure,
We could see the adjacent sides of the triangle forms caste Ѳ and if we divide the triangle into 2 it forms a right angle triangle with Ѳ/two degree.
Ѳ = 3600/8 = 450
Ѳ/two = 22.50
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 = 3600
If we grade a triangle joining the centre of the circle and the centre of the two next holes as shown in the figure,
We could encounter the adjacent sides of the triangle forms degree Ѳ and if we split up the triangle into two it forms a right angle triangle with Ѳ/2 degree.
Ѳ = 3600/nine = 40 Ѳ/ii = 200
Nosotros know that for a right angle triangle,
a = d x 0.342
a = pcd x 0.342
eight.For ten holes:
The total degree of the circumvolve = 3600
If we form a triangle joining the centre of the circle and the centre of the 2 next holes as shown in the effigy,
We could meet the adjacent sides of the triangle forms degree Ѳ and if we divide the triangle into two it forms a correct angle triangle with Ѳ/ii caste.
Ѳ = 3600/ten = 360
Ѳ/two = 180
We know that for a right angle triangle,
a = d x 0.309
a = pcd 10 0.309
We take given from 3 to 10 holes for your reference. But you can calculate for more than 10 holes using the same procedure.
If you lot have any doubt delight comment beneath.
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Source: https://learnmoredeeply.com/what-is-pcd-how-to-calculate-the-distance-between-the-two-adjacent-holes
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