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September 3, 2019
In NC machining or CNC machining working, we always met the different drawings which marked with different machining standard. That require worker to calculate dimensions with different calculation formula.
Formula: External diameter of teeth – 1/2 *pitch
Example 1: Formula: M3 * 0.5 = 3 – (1/2 * 0.5) = 2.75mm
M6 x 1.0 = 6 – (1/2 x 1.0) = 5.5 mm
Example 2: Formula: M3 * 0.5 = 3 – (0.5/2) = 2.75 mm
M6*1.0=6-(1.0/2)=5.5 mm.
1 inch = 25.4mm
Example 1: (1/4-30)
1/4 x 25.4 = 6.35 (Pitch Diameter )
25.4/30 = 0.846 (pitch)
The conversion from 1/4-30 to metric screw should be M6.35 * 0.846
Example 2: (3/16-32)
3/16*25.4=4.76 ( Pitch Diameter )
25.4/32 = 0.79 (pitch)
The conversion from 3/16-32 to metric screw should be M4.76 *0.79
Molecular/Denominator x 25.4 =Pitch diameter
Example 1: (3/8-24)
3/8 x 25.4 = 9.525 ( Pitch Diameter )
25.4 24 = 1.058 ( METRIC THREAD )
The conversion from 3/8-24 to metric thread should be M9.525 * 1.058
CNC machining part
Example: 6-32
6-32 (0.06+0.013)/Code *6=0.138
0.138 * 25.4 = 3.505( Pitch Diameter )
25.4/32 = 0.635 (pitch)
The conversion of 6-32 to metric thread should be M3.505 * 0.635
External thread diameter- 1/2 * pitch should be:
M3.505-1/2*0.635=3.19
So the inner hole dia. of 6-32 should be 3.19
Calculating Lower hole diameter Formula 1:
External pitch diameter – (pitch * 0.4250.475) / code = lower hole diameter
Example 1: M6 *1.0
M6-(1.0 x 0.425) = 5.575 (maximum lower hole diameter)
M6-(1.0 x 0.475)= 5.525 (minimum lower hole diameter)
Example 2: Simple formulas for calculating lower hole diameter of tapped holes by cutting wire:
M6-(1.0 x 0.85) = 5.15 (maximum)
M6-(1.0 x 0.95)=5.05 (minimum)
M6-(pitch * 0.860.96)/Code = Lower hole diameter
Example 3: M6*1.0=6-1.0=5.0+0.05=5.05
Diameter – 0.01 *0.645 *Pitch Distance
Example 1: M3 * 0.5 = 3-0.01*0.645 * 0.5 = 2.58 (external diameter)
Example 2: M6*1.0=6-0.1*0.645*1.0=5.25 (external diameter)
Example 1: M3 x 0.5 = 3-0.6495 x 0.5 = 2.68 (outside diameter before turning)
Example 2: M6*1.0=6-0.6495*1.0=5.35 (outside diameter before turning)
Outer diameter/25.4 * embossing pitch = outer diameter before embossing
Example: 4.1/25.4 x 0.8 (embossing pitch spacing) = 0.13 embossing depth should be 0.13.
Formula 1:
Quadrangle: diagonal radius * 1.414 = diagonal radius
Pentagon: diagonal radius * 1.2361 = diagonal radius
Hexagonal: diagonal diameter * 1.1547 = diagonal diameter
Formula 2:
Four corners: diagonal radius/0.71 = diagonal radius
Hexagonal: diagonal radius/0.866 = diagonal radius
material outer diameter/10+0.7 Reference value
Formula 1: (Big Head Diameter-Small Head Diameter)/( 2 x
Total Length of Taper) = Degrees
Equal to the value of a triangular function
Formula 2:
(Big Head Diameter-Small Head Diameter)/28.7/Total Length = Degrees
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