**Table of Contents**show

**I. The calculation of trigonometric**

**I. The calculation of trigonometric**

1.tgθ=b/a ctgθ=a/b

2.Sinθ=b/c Cos=a/c

**II. Calculation of cutting speed**

**II. Calculation of cutting speed**

**Vc＝(π DS)/1000**

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

**III. Calculation of the feed (F-value)**

**III. Calculation of the feed (F-value)**

**F＝S ZFz**

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

**IV. Calculation of residue height**

**IV. Calculation of residue height**

**Scallop＝(ae*ae)/8R**

- Scallop: Residue height(mm)
- ae: XY pitch(mm)
- R: Tool radius(mm)

**V. Calculation of slug holes**

**V. Calculation of slug holes**

**Φ＝√2R2**

**X. Y＝D/4**

- Φ: Diameter of slug holes(mm)
- R: Tool radius (mm)
- D: Tool diameter (mm)

**VI. Calculation of material intake**

**VI. Calculation of material intake**

**Q＝(ae apF)/1000**

- Q: The quantity of material taken(cm3/min)
- ae: XY pitch(mm)
- ap: Z pitch(mm)

**VII. Calculation of the feed rate per blade**

**VII. Calculation of the feed rate per blade**

**Fz＝hm * √(D/ap )**

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

**VIII. Die cutting edge processing method**

**VIII. Die cutting edge processing method**

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

- D : Knife diameter

**IX. Drill drilling time formula**

**IX. Drill drilling time formula**

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

- L: Full length of the drilling
- N: Number of turns
- f: feed volume factor
- D: Bit diameter
- v: Cutting speed

**Drill factor table fz **

Dia. mm | 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. Horsepower (gun drill)**

- W = Md*N/97.410.
- W: Power required (KW)
- Md: torque (kg-cm)
- N: Number of rotations (r.p.m.)

## XII. The formula for calculating torque is as follows.

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

Deryl MinnichQuestion: I have a screen shot of a tooling estimate spreadsheet that was included in a tooling estimating seminar I attended. I have tried to fill in the formulas to utilize it for myself to quote tools but the one thing I cant figure out is the CNC portion of the sheet.

The formula calls for ‘cut volume’, ‘# of details’, Machine run rate (3″/hr.) [with a given number of 10] & a formula for machine time (cut volume x # of details / machine run rate)

Once you get the machine time you can calculate the cost by multiplying it by the amount per hour charged. for example it the volume was 25 & there were 2 details then it would be ((25 x 2)/10) x $95.00/hr. = $474.00 The only thing I cant figure out is how to get the cut volume. Any ideas?