International standards
1. The formula for calculating the inner diameter of the thread tap:
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
2. Conversion formula for general inch 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 pitch)
Then 1/4-30 converted to 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 pitch)
Then 3/16-32 converted into metric teeth should be: M4.76×0.79
3. The formula for converting general imperial 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 teeth)
25.4÷32＝0.635 (tooth pitch)
Then 6-32 converted into metric teeth should be: M3.505×0.635
1. Calculation formula of hole inner diameter:
Tooth outer diameter-1/2 × tooth pitch should be:
M3.505－1/2×0.635＝3.19
Then the 6-32 internal aperture should be 3.19
2. Algorithm for tapping inner hole by extrusion wire:
Simple calculation formula for lower aperture 1:
Tooth outer diameter-(tooth distance × 0.4250.475) / code = lower aperture
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 tapped hole of 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 indented tooth:
1. Diameter-0.01×0.645×tooth pitch (need to pass through the rules)
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. The calculation formula of metric rolling diameter: (calculation for full teeth)
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. Embossing outer diameter (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. The diagonal conversion formula of polygonal materials:
1. Quadrangle: Diagonal diameter×1.414=Diagonal diameter
2. Pentagonal shape: diagonal diameter×1.2361=diagonal diameter
3. Hexagonal shape: Diameter of opposite side×1.1547=Diagonal diameter
Formula 2: 1. Four corners: diagonal diameter ÷ 0.71 = diagonal diameter
2. Hexagon: Diagonal diameter ÷ 0.866 = Diagonal diameter
9. Tool thickness (cutter):
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) = degree
Equal to the trigonometric function value
Formula 2: Simple
(Big head diameter-small head diameter) ÷ 28.7 ÷ total length = degree
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