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同禾机械
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了解详细

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Calculation formulas commonly used by CNC are worth of collection!

Calculation formulas commonly used by CNC are worth of collection!

Calculation formulas commonly used by CNC are worth of collection!

  Calculation formulas commonly used by CNC

  1. Cutting line speed

  V=πDN/1000N=rpm (Rotation numbers of main shaft) D=¢mm (Cutting diameter) V=M/minπ=3.14

  2. Cutting power

  KW=(Ks×V×d×f)÷(6000×λ) W=Kw (Cutting power) f= Amount of feed (mm/rev) d=Cutting depth (mm) λ=0.7~0.85 (Mechanical efficiency)

  3. Cutting impedance

  P=Ks×q P=KG Ks=kg/ square mm q=f×d[Cutting area〔square mm〕]

  4. Cutting torque

  T=P×(D/2) T=kg-mD=¢mm (Cutting diameter)

  5. Feed speed and feed amount Vf=N×fVf=Feed speed (mm/min) N=rpm (Rotation numbers of the main shaft) f=Feed amount (mm/rev)

  6. Drilling time T=L/Nf=πDL/1000VfT= Drilling time(min) D=¢mm (Bit diameter) L= Drilling depth (mm) V=M/minf=Feed amount (mm/rev)

  7. Arc radius compensation of cutter noise

  Z=r(1-tanθ/2)X=ZtanθZ=Z compensation value X=X compensation value r= arc radius of cutter noise θ=angle between slashes

  8. Workbench feed amount Vf=fz×Z×nVf= Workbench feed amount (mm/min) fz=Feed per tooth(mm/t) Z=Cutter teeth number n= Rotation numbers of milling cutters

  Ten calculation formula commonly used by CNC machining

  International Standard

  1. Calculation formula of internal aperture of squeezing screw tap:

  Formula: Outer diameter of tooth -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

  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

  M6×1.0=6-(1.0÷2)=5.5mm

  2. Conversion formula of general inch screw tap:

  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 when 1/4-30 is converted into metric teeth, it 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 when 3/16-32 is converted into metric teeth, it should be: M4.76×0.79

  3. The formula for converting ordinary British teeth into metric teeth is as follows:

  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 tooth pitch)

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

  4. Formula for converting American teeth into metric teeth:

  Example: 6-32

  6-32 (0.06+0.013)/ Code ×6=0.138

  0.138×25.4=3.505 (Tooth outer diameter)

  25.4÷32=0.635 (Tooth pitch)

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

  1. Calculation formula of hole inside diameter:

  Tooth outer diameter -1/2× Tooth pitch should be:   

  M3.505-1/2×0.635=3.19

  So the hole inside diameter of 6-32 should be 3.19

  2. Algorithm of squeezing screw tap:

  Simple calculation formula of lower aperture 1:

  Tooth outer diameter -(Pitch ×0.4250.475)/ Code = Lower aperture

  Example 1: M6 x 1.0

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

  M6 - (1.0 x 0.475) = 5.525 (Minimum)

  Example 2: Simple calculation formula of cutting tapping screw hole inner diameter:

  M6 - (1.0 x 0.85) = 5.15 (Maximum)

  M6 - (1.0 x 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. A simple formula for calculating the outer diameter of pressing teeth:

  1. Diameter -0.01×0.645× Tooth pitch (Go gauge, no-go gauge)

  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. Formula for calculating metric tooth rolling diameter: (Full teeth 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)

  Outside diameter 25.4× Flower tooth distance = Outside diameter before embossing

  Example: 4.1÷25.4×0.8(Flower tooth distance) =0.13, Embossing depth should be 0.13

  8. Diagonal conversion formula for polygonal materials:

  1. Quadrangle: Opposite diameter ×1.414= Diagonal diameter

  2. Pentagonal: Opposite diameter ×1.2361= Diagonal diameter

  3. Hexagonal: Opposite side diameter x 1.1547= Diagonal diameter

  Formula 2:1. Four corners: Opposite side diameter ÷0.71= Diagonal diameter

  2. Hexagonal: Opposite side diameter / 0.866= Diagonal diameter

  9. Tool thickness (cutter): Material diameter ÷10+0.7 Reference value

  10. The calculation formula of taper::

  Formula 1:(Big head diameter - Small head diameter)÷(2× Total length of the taper)= Degree

  Equal to the trig value

  Formula 2: Simple

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

  Calculation formulas commonly used by the CNC processing center

  1. Calculation of Trigonometric function 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) Example: Use a milling cutter of Φ25, Vc is (m/min)25 and S=?rpm Vc=πds/1000 25=π*25*S/1000 S=1000*25/ π*25 S=320rpm 3. Calculation of feed (F value) F=S*Z*Fz F: feed rate (mm/min) S: speed (RPM) Z: blade number Fz: (Actual feed per blade) Example: A standard 2-edge end milling cutter cutting workpiece at 2,000rpm) speed, how much is the feed (F value)? (Fz=0.25mm) F=S*Z*Fz F=2000*2*0.25 F=1000(mm/min) 4. Calculation of residual material height, Scallop=(ae*ae)/8R Scallop: Residual material height (mm) ae: XY pitch(mm) R Tool radius (mm) Example: φ 20R10 fine repair 2 blades, pre-residual material height is 0.002mm, how much is the Pitch? mm Scallop=ae2/8R 0.002=ae2/8*10 ae=0.4mm

  5. Calculation of slug hole Φ=√2R2 X, Y=D/4 φ: Escape hole diameter (mm) R tool radius (mm) D: tool diameter (mm) Example: It is known that a hole must be processed at slug incline angle (as shown in the figure). The milling cutter is ψ10; What is the minimum slug incline angle hole? What are the center coordinates? Φ= 2R2 Φ= 2*52 Φ=7.1(mm) X, Y=D/4 X, Y=10/4 X, Y=2.5 mm Center coordinate is (2.5,-2.5)

 6. The calculation of the reclaiming amount Q=(ae*ap*F)/1000Q: reclaiming amount (cm3/min) ae: XY pitch(mm) ap: Z pitch(mm) Example: Given the high machining of a mold kernel and cavity, the XY pitch of φ 35R5 is 60% of the tool, each layer is cut 1.5mm, and the feed is 2,000mm/min. How much is the feed of this tool? Q=(ae*ap*F)/1000 Q=35*0.6*1.5*2000/1000 Q=63 cm3/min 7. Calculation of feed for each blade Fz=hm * √(D/ap ) Fz: Implement feeding per blade hm: theoretical feed per blade ap: Z pitch(mm) D: Blade diameter (mm) Example: (the premise of depo XY pitch is 60% of the tool) depo φ 35R5 knife, cutting NAK80 material hm is 0.15mm, Z axis cutting depth 1.5mm, how much is the feed of each edge? Fz=hm * √(D/ap) Fz=0.2*√10/1.5 Fz=0.5mm 8. Machining method of die edge Knife-edge processing depth = plate thickness - knife-edge height + drill point (0.3d) D represents knife diameter 9. Bit drilling time T(min)=L(min)/N(rpm)*f(mm/rev) =πDL/1000vfL: Total length of drilling N: number of turns f: feed coefficient D: bit diameter v: cutting speed as shown in the figure Hole depth l Drill hole length L L=l+D/3 T=L/Nf=πDL/1000vf

 Bit coefficient table fz

 10. Calculation formula of tube teeth 1 inch =25.4mm=8 minutes For example, 25.4/ number of teeth = 25.4/18=1.414. The tooth distance is 5/16 11. Horsepower (gun drill) W=Md*N/ 97.410W: Required power (KW) Md: Torque (Kg-cm) N: rotary number (R.P.M.) 12. The torque calculation formula is as follows: Md=1/20*f*ps*r2 f is the feed mm / Rev coefficient r is the bit radius match (mm) α: cutting resistance ratio ps. In the small feed, the general steel is 500kg/m㎡; General cast iron is 300kg/m㎡;

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