• Functions of the Various Cutting Angles

Description Symbol Function Effect

(1) Axial rake angleA.R.Determines chip removal direction, built-Available in positive to negative (large to small) rake angles; Typical combinations:
(2)Radial rake angle R.R.up edge, cutting forcePositive and Negative, Positive and Positive, Negative and Negative
(3) Approach angleA.A.Determines chip thickness, chipLarge: Thin chips and small cutting
removal directionforce
(4) True rake angleT .A.Effective rake anglePositive (Large): Excellent machinability
Low cutting edge strength.
Negative (Small): Strong cutting edge and
easy chip adhesion.
(5) Cutting edge inclination angleI .A.Determines chip control directionPositive (Large): Excellent chip control and small cutting
force. Low cutting edge strength.
(6) Face cutting edge angleF.A.Determines surface roughnessSmall: Improved surface roughness.

(7) Relief angle Determines edge strength, tool life, chattering

True Rake Angle Chart (T.A) Inclination Angle (I.A) Chart

+30°True Rake Angle T.A+30°-30°Inclination Angle I.A+30°
+25°+25°-25°+25°
+20°+30°+20°-30°
+25°-20°+20°
-25°
+15°+20°+15°-15°-20°+15°
+10°+15°+10°-10°-15°+10°
+10°-10°
+ 5°+ 5°+ 5°- 5°- 5°+ 5°
0° ④0° 0°
- 5°+ 5°
- 5°- 5°+ 5°- 5°
-10°+10°
-10°-15°-10°+10°+15°-10°
-15°-20°-15°+15°+20°-15°
-25°+25°
-20°-30°-20°+20°-20°
+30°
-25° ②-25°+25°-25°
-30°-30°+30°-30°
10° 15° 20° 25° 30° 35° 40°45°50°55° 60° 65° 70° 75° 80° 85°90°10° 15° 20° 25° 30° 35°40° 45°50°55° 60° 65° 70° 75° 80° 85°90°
Approach Angle A.A }Approach Angle A.A }

(Ex.) (1) A.R (Axial rake angle) = +10° (Ex.) (1) A.R (Axial rake angle) =–10°

(2) R.R (Radial rake angle)= –30°-> T.A. (True rake angle) = –8° (4)(2) R.R (Radial rake angle)=+15°-> I (Inclination angle) =–15° (4)
(3) A.A(Approach angle)= 60°(3) A.A(Approach angle)= 25°

<Formula> tan T.A=tan R.R cos A.A + tan A.R sin A.A <Formula> tan I.R=tan A.R cos A.A – tan R.R sin A.A

  • Rake Angle Combination

Double Positive Type Negative - Positive Type Double Negative Type

A.A (15° to 30°) A.A (30° to 45°) A.A (15° to 30°)

Edge Combination and A.R. A.R. A.R.

Chip Removal Positive Positive Negative

A.R: Axial rake angle R.R: Radial rake angle A.A: Approach angle : Chip and removal direction

R.R. R.R.

: Rotation Positive Negative R.R.

Negative Excellent chip removal and cutting Double-sided inserts can be used Advantages Good cutting action action and higher cutting edge strength

Lower cutting edge strength and only Only single-sided inserts can be

NDisadvantagesDull cutting action
single-sided inserts can be usedused
For general milling of steel and lowFor Steel, Cast iron, Stainless steel,For light milling of cast iron and
Application
rigidity work pieceAlloy steelsteel

Series DPG Type WGX Type, UFO Type DGC Type, DNX Type

Chips (Ex.)

  • Work material: SCM435
  • v =130m/min c f =0.23mm/t z a =3mm p