Mechanics of Metal Cutting
(Practical Applications of Tool Design)
                                          1
The Mechanics of Metal Cutting is controlled by
three main elements.
   •Rake Angles
   •Lead Angles
   •Clearance Angles
                                                  2
Rake Angles
              3
                                                                                      Side rake
                            Single point tool geometry
                                                                                         γ
                                                                                          f
                                     Primary motion
                                        of the job
                                              Side Clearance
                    Feed motion
                                                                         α       Section F-F
                                                                             f
                                                                     P
                                                F                                         F
   End α                                                 k                                k !r
          p                                                  r
clearance
                                                                 ψ
                      γp          Back rake                  Lead
                                                             angle
              Section P-P
                                                                                                 4
Basic Cutting Tool Geometry-Turning
                                          SCEA
                        Side Cutting Edge Angle
                         Back Rake
  Side Rake
                                                  5
       Rake Angles Control Edge
              Strength
                                FORCE
                                    POSITIVE
•TRS measures the bending
fracture strength of carbides
                                               6
Rake Angles Control Edge Strength
                             R C E
                          FO
                                     NEGATIVE
                                SUPPORTED:
    •Measure of deformation     More Compressive
                                Loading
    resistance
                                                   7
Rake Angles - Basic Milling Geometry
                                       8
POSITIVE AXIAL RAKE   POSITIVE RADIAL RAKE
                                             9
NEGATIVE AXIAL RAKE   NEGATIVE RADIAL RAKE
                                             10
POSITIVE AXIAL RAKE   NEGATIVE RADIAL RAKE
                                             11
               Rake Angles Control
                  Edge Strength
Radial Rake has a             Radial Rake
major impact on         (+)    (-)
cutting edge strength
Radial Rake absorbs
the interrupted cut
                                            Axial Rake
                                                         12
 Cutting Forces
               Ft = Tangential Force
               Ff = Feed Force
     Ft        Fr = Radial Force
Ff
          Fr
                                       13
     Rake Angles control
       Cutting Forces
-5
            NEGATIVE
                           Cutting Forces
                           change
                           approximately
+6                         1% per degree
                           of Rake change
                           (mild steel)
             POSITIVE
                                            14
Rake Angles control
  Cutting Forces
           Radial Rake
     (+)    (-)
                    Axial Rake has a
                    major impact on
                     cutting forces.
                                       15
              Rake Angles control
                Cutting Forces
 Both axial and radial         Radial Rake
                         (+)    (-)
rake have comparable
  effects on cutting
       forces.
                                             16
 Rake Angles Control
   Cutting Forces
 Negative                       Positive
Radial Rake                    Radial Rake
 Designed for a specified clearance under the
 heel of the insert.
                                                17
Top Topography is used to
  Enhance Axial Rake
                            18
             Chip Flow Characteristics
          Rake angles control the direction of chip flow
                           (-)                   (-)            (+)
 (+)           (+)                   (-)
Positive / Positive    Negative / Negative    Negative / Positive
                                                       (Shear-Clear)
                                                                       19
        Rake Angles:Drills
Radial Rake    Axial Rake Angle (Helix)
                                          20
               Negative                  Positive
               Axial                     Axial
               Rake                      Rake
Spiral Point              Spiral Flute
                                                    21
                         Rake Angles:Reamers
            Axial Rake Angle
 Neutral Axial Rake
                                    Radial
                                    rake       Primary
   Positive Axial Rake              angle      Clearance
                                                      Secondary
                                                      Clearance
Negative Axial Rake
                                                             22
Lead Angles
              23
 Lead Angle controls the
Direction of Cutting Forces
                    45     Lead
                           Angle
                                   Axial
                                   load
       Table Feed
                         Radial
                          load
                                           24
     Direction of Cutting Forces
Direction of Cutting
Forces
                                   25
      Direction of Cutting Forces
Increasing the Lead
Angle places the forces
more into the Radial
Plane.
                                    26
  Lead Angles control
direction Cutting Forces
                    Forces
                    directed into
                    the spindle
                    Forces directed
                    across the
                    spindle
                                      27
        Lead Angles control
      direction Cutting Forces
90°                    118°                     140°
 The greater the angle, the greater the rigidity.
                                                       28
Clearance
 Angles
            29
                    Clearance Angles
                                            90 Degree included
            79 Degree included
                                            Angle
            Angle
                                 5 degree Neg. Rake
5 degree
Positive.                                             NEGATIVE
Rake
               POSITIVE
             6° Degrees                               5° Degrees
             Clearance                                Clearance
                                                                   30
Back Clearance
                 31
                 Clearance Angles
                              Radial Rake
Arc of the cut
                     (+)        (-)
                           Radial Rake is designed to
                           provide a specified amount
                           of clearance under the heel of
                           the insert
                                                            32
            Clearance Angles
                     Lip Relief
                       Angle
                                      Flank
                 Margins
  Body                                    Point
                                          Angle
Clearance
                             Drill
 (Radial)                  Diameter
                                                  33
Tap Margins
              Concentric
              Grind
              (No Clearance)
                               34
                Tap Margins
CONCENTRIC      CON-ECCENTRIC        ECCENTRIC
 No Clearance    Partial Clearance     Clearance
                                                   35
36