CNC commonly used calculation formulas are worth collecting!
1. Trigonometric function calculation
1.tgθ=b/a ctgθ=a/b
2.Sinθ=b/c Cos=a/c
2. Calculation of cutting speed
Vc=(π*D*S)/1000
Vc: Linear speed (m/min)
π: Pi (3.14159)
D: Tool diameter (mm)
S: Speed (rpm)
3.The calculation of the feed (F value)
F=S＊Z＊Fz
F: Feed rate (mm/min)
S: Speed (rpm)
Z: Number of blades
Fz: (actual feed per edge)
4. The calculation of the residual material height
Scallop=(ae*ae)/8R
Scallop: Residual material height (mm)
ae: XY pitch(mm)
R tool radius (mm)
5. Calculation of escape hole
Φ＝√2R2
X, Y = D/4
Φ: Diameter of escape hole (mm)
R tool radius (mm)
D: Tool diameter (mm)
6. Calculation of reclaiming amount
Q=(ae*ap*F)/1000
Ｑ: Reclaiming amount (cm3/min)
ae: XY pitch(mm)
ap: Z pitch(mm)
7. Calculation of feed per edge
Fz=hm * √(D/ap)
Fz: Implementation of the feed per blade hm: Theoretical feed per blade ap: Z pitch(mm)
D: Blade diameter (mm)
8. Machining method of die edge
Cutting depth of knife edge = plate thickness-knife edge height + drill point (0.3D)
D means tool diameter
9.The drill bit drilling time formula
T(min)=L(min)/N(rpm)*f(mm/rev)
=πDL/1000vf
L: Full length of drilling
N: Number of revolutions
f: feed coefficient
D: drill diameter
v: cutting speed
Drill bit coefficient table fz
Diameter mm
Feed mm/rev
1.6~3.2
0.025~0.075
3.2~6.4
0.05~0.15
6.4~12.8
0.10~0.25
12.8~25
0.175~0.375
25 or more
0.376~0.625
