Fórmulas essenciais de cálculo CNC que você deve conhecer

Essential CNC Calculation Formulas You Should Know

Commonly used CNC calculation formula

I. Trigonometric calculation

1.tgθ=b/a ctgθ=a/b

2.Sinθ=b/c Cos=a/c

II. Calculation of cutting speed

Vc=(π D S)/1000

  • Vc: linear speed (m/min)
  • π: Circumference (3.14159)
  • D: Tool diameter (mm)
  • S: Rotational speed (rpm)

III. Feed calculation (F value)

F=S Z Fz

  • F: Feed rate (mm/min)
  • S: Rotational speed (rpm)
  • Z: Number of blades
  • Fz: (actual feed per blade)

4. Calculation of residue height

Vieira=(ae*ae)/8R

  • Scallop: Residue height (mm)
  • ae: XY pitch (mm)
  • A: Tool radius (mm)

V. Hole calculation

Φ=√2R2

XY=D/4

  • Φ: Diameter of slug holes (mm)
  • A: Tool radius (mm)
  • D: Tool diameter (mm)

SAW. Calculation of material intake

Q=(ae app F)/1000

  • Q: The amount of material removed (cm3/min)
  • ae: XY pitch (mm)
  • ap: Z pitch (mm)

VII. Calculation of feed rate per blade

Fz=hm * √(D/ap )

  • Fz: Actual feed per blade
  • hm: theoretical advance per blade
  • ap: Z pitch (mm)
  • D: Blade diameter (mm)

VIII. Cutting-edge processing method

Tool depth = plate thickness – tool height + drill tip (0.3D)

  • D: Knife diameter

IX. Drilling Time Formula

T(min)=L(min)/N(rpm)*f(mm/rev)=πDL/1000vf

  • L: Total length of the perforation
  • N: Number of turns
  • f: feed volume factor
  • D: Drill diameter
  • v: Cutting speed

fz drilling factor table

Dia. millimeters Feed knife 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 0.376~0.625

X. Formulas for calculating pipe teeth

1 inch = 25.4 mm.

XI. Power (gun drill)

  • W = Md*N/97,410.
  • W: Required power (KW)
  • MD: torque (kg-cm)
  • N: Number of revolutions (rpm)

XII. The formula for calculating torque is as follows.

  • Md=1/20*f*ps*r2
  • f is the feed coefficient mm/rev.
  • r is the drill radius (mm)
  • α: cutting resistance ratio ps. in small feed, general steel 500kg/m²; general cast iron 300kg/m²

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