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Commonly used (thread) calculation formulas for CNC machining, simple and easy to understand

1. Calculation formula for inner hole diameter of thread extrusion tapping:

Formula: tooth outer diameter - 1/2 × tooth pitch

Example 1: Formula: M3×0.5=3-(1/2×0.5)=2.75mm

M6×1.0=6-(1/2×1.0)=5.5mm

Example 2: Formula: M3×0.5=3-(0.5÷2)=2.75mm

M6×1.0=6-(1.0÷2)=5.5mm

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2. Conversion formula for general British wire tapping:

1 inch = 25.4mm (code)

Example 1: (1/4-30)

1/4×25.4=6.35(tooth diameter)

25.4÷30=0.846 (tooth distance)

Then 1/4-30 converted into metric teeth should be: M6.35×0.846

Example 2: (3/16-32)

3/16×25.4=4.76 (tooth diameter)

25.4÷32=0.79 (tooth distance)

Then 3/16-32 converted into metric teeth should be: M4.76×0.79

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3. The general formula for converting British teeth into metric teeth:

Numerator ÷ denominator × 25.4 = tooth outer diameter (same as above)

Example 1: (3/8-24)

3÷8×25.4=9.525(tooth outer diameter)

25.4÷24=1.058 (metric pitch)

Then 3/8-24 converted into metric teeth should be: M9.525×1.058

4. The formula for converting American teeth to metric teeth:

Example: 6-32

6-32 (0.06+0.013)/code×6=0.138

0.138×25.4=3.505 (outer diameter of tooth)

25.4÷32=0.635 (tooth distance)

Then 6-32 converted into metric teeth should be: M3.505×0.635

1. Calculation formula of hole inner diameter:

The outer diameter of the tooth - 1/2 × the tooth pitch should be:

M3.505-1/2×0.635=3.19

Then the inner diameter of 6-32 should be 3.19

2. Extrusion wire tapping inner hole algorithm:

Simple calculation formula of lower hole diameter 1:

Tooth outer diameter - (tooth pitch × 0.4250.475)/code = lower hole diameter

Example 1: M6×1.0

M6-(1.0×0.425)=5.575 (maximum lower aperture)

M6-(1.0×0.475)=5.525(minimum)

Example 2: Simple calculation formula for the inner diameter of the hole tapped by the cutting wire:

M6-(1.0×0.85)=5.15 (maximum)

M6-(1.0×0.95)=5.05(minimum)

M6-(Tooth pitch×0.860.96)/code=lower aperture

Example 3: M6×1.0=6-1.0=5.0+0.05=5.05

5. Simple formula for calculating the outer diameter of the press teeth:

1. Diameter - 0.01 × 0.645 × pitch (need to pass and stop)

Example 1: M3×0.5=3-0.01×0.645×0.5=2.58 (outer diameter)

Example 2: M6×1.0=6-0.1×0.645×1.0=5.25 (outer diameter)

6. Calculation formula for metric tooth rolling diameter: (Full tooth calculation)

Example 1: M3×0.5=3-0.6495×0.5=2.68 (outer diameter before turning)

Example 2: M6×1.0=6-0.6495×1.0=5.35 (outer diameter before turning)

7. Embossed outer diameter depth (outer diameter)

Outer diameter÷25.4×Tooth pitch=Outer diameter before embossing

Example: 4.1÷25.4×0.8 (flower pitch)=0.13 The embossing depth should be 0.13

8. Diagonal conversion formula for polygonal materials:

1. Square: diagonal diameter × 1.414 = diagonal diameter

2. Pentagon: Diagonal diameter × 1.2361 = Diagonal diameter

3. Hexagon: Diameter of opposite sides × 1.1547 = Diameter of opposite corners

Formula 2: 1. Four corners: diagonal diameter ÷ 0.71 = diagonal diameter

2. Hexagon: diagonal diameter ÷ 0.866 = diagonal diameter

9. Tool thickness (cutting knife):

Material outer diameter÷10+0.7 reference value

10. Calculation formula of taper:

Formula 1: (Large head diameter - Small head diameter) ÷ (2 × total length of taper) = Degrees

Is equal to finding the trigonometric function value

Formula 2: Simple

(Big head diameter - Small head diameter) ÷ 28.7 ÷ Total length = Degrees


Post time: Feb-22-2024