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Hole Circle Diameter Calculator

Hole Circle Diameter Formula:

\[ HCD = \frac{ND}{\sin(180° / N)} \]

mm
holes

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1. What is Hole Circle Diameter?

The Hole Circle Diameter (HCD) is the diameter of the circle that passes through the centers of equally spaced bolt holes. It's a critical measurement in mechanical engineering and manufacturing for proper bolt pattern alignment.

2. How Does the Calculator Work?

The calculator uses the HCD formula:

\[ HCD = \frac{ND}{\sin(180° / N)} \]

Where:

Explanation: The formula calculates the diameter of the circle that passes through the centers of equally spaced holes based on the nominal diameter and number of holes.

3. Importance of HCD Calculation

Details: Accurate HCD calculation is crucial for proper bolt pattern design, ensuring correct fit and alignment in mechanical assemblies, flanges, and rotating equipment.

4. Using the Calculator

Tips: Enter nominal diameter in millimeters and the number of holes. Both values must be positive numbers (ND > 0, N ≥ 1).

5. Frequently Asked Questions (FAQ)

Q1: What is nominal diameter in this context?
A: Nominal diameter refers to the diameter of the circle that would pass through the hole centers if the holes were arranged in a perfect circle.

Q2: Can this calculator be used for any number of holes?
A: Yes, the formula works for any number of holes from 3 upwards, though practical applications typically use 3-12 holes.

Q3: Why is the sine function used in this calculation?
A: The sine function helps calculate the chord length between adjacent holes, which is essential for determining the circle diameter.

Q4: What are common applications of HCD calculations?
A: Common applications include flange design, wheel bolt patterns, gear mounting, and any mechanical assembly requiring equally spaced fasteners.

Q5: How accurate is this calculation for real-world applications?
A: The calculation provides theoretical values. Actual manufacturing may require tolerance adjustments based on specific application requirements.

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