Geometry of Single Point Cutting Tool
DEEPAK KUMAR
                       Assistant Professor,
           Department of Mechanical Engineering,
          Dr. B. C. Roy Engineering College, Durgapur
                              Introduction
• Production, Manufacturing and Machining
                    Casting    Turning       Milling      Joining
                                     MACHINING
                               Grinding      Drilling
                                                         Powder
                    Forming                             Metallurgy
       PRODUCTION                 Manufacturing                      2
                                 Introduction
• What is Manufacturing?
                                 Value Addition
                                   Processes
       Raw materials                                  Finished Product
• Primary manufacturing processes convert raw material or scrap to a basic
 primary shaped and sized product.
• Secondary manufacturing processes further improve the properties, surface
 quality, dimensional accuracy, tolerance, etc.
                                                                              3
                                      Introduction
• Machining
   • One of the secondary manufacturing processes.
   • Excess material is removed (by shearing) from the preformed blank in the form of chips.
   • Uses a wedge shaped cutting tool in order to get product having desired shape, size and
     tolerance.
• Machining to high accuracy and finish essentially enables a product to
   • Fulfill its functional requirements
   • Improve its performance
   • Prolong its service
• Tools necessary for machining
   • Machine Tools
   • Cutting Tools
                                                                                          4
                                     Cutting Tools
• Both material and geometry of the cutting tools play very important roles on
  their performances in achieving effectiveness, efficiency and overall economy
  of machining.
• Classified according to the number of major cutting edges (points) involved in
  cutting:
   • Single point: only one cutting tip is available.
       e.g., turning tools, shaping, planning and slotting tools and
       boring tools
   • Multipoint: more than one tip is available.
        e.g., drills, milling cutters, broaching tools, hobs,
       gear shaping cutters etc.
                                                                                 5
                Salient features of cutting tool point
1.   Nose
2.   Rake surface
3.   Principal Flank
4.   Auxiliary Flank
5.   Principal Cutting Edge
6.   Auxiliary Cutting Edge
                                           Tool-in-Hand System
                                                                 6
              Systems of description of tool geometry
• Tool-in-Hand System – Only the salient features of the cutting tool point are
 identified or visualized such as
   • Nose (Cutting Tip)
   • Rake surface, Principal Flank, Auxiliary Flank
   • Principal Cutting Edge, Auxiliary Cutting Edge.
• There is no quantitative information, i.e., value of the angles.
• Machine Reference System – ASA system
• Tool Reference Systems                                  6
   • Orthogonal Rake System – ORS
   • Normal Rake System – NRS                                  2
• Work Reference System – WRS
                                                       1             3
                                                           4             5        7
 Systems of description of tool geometry
                            Reference planes and Axes in ASA system
Top view of Lathe Machine
                                                                8
                       ASA and ORS systems
Reference planes and Axes in ASA system   Reference planes and Axes in ORS system
                                                                              9
                         ORS and NRS systems
Reference planes and Axes in ORS system   Reference planes and Axes in NRS system
                                                                              10
             Machine Reference System – ASA system
• The planes of reference and the coordinates used in ASA system for tool geometry are :
   •    =Reference plane; plane perpendicular to the velocity vector,
   •    =Machine longitudinal plane; plane perpendicular to     and taken in the direction of assumed
     longitudinal feed.
   •    =Machine Transverse plane; plane perpendicular to both and , in the direction of assumed
     cross feed.
• The axes are:
   •     =in the direction of longitudinal feed,
   •     =in the direction of cross feed.
   •     =in the direction of cutting velocity (vector).
                                                                                                  11
Tool Signature of SPTT in ASA system
                                       12
Tool Signature of SPTT in ASA system
                                       13
                 Tool Signature of SPTT in ASA system
   Angle        Made by         With       Measured
                                             on
 Back Rake     rake surface   reference       πY
  angle,γY                      plane
 Side Rake     rake surface   reference       πX
  angle,γX                      plane
    Back        principal     VC (or Zm)      πY
Clearance,αY      flank
    Side        principal     VC (or Zm)      πX
clearance,αX      flank
End Cutting    end cutting       πX           πR
   Edge           edge
 angle,φe
 Approach      Side cutting      πY           πR
 angle,φs         edge                                  14
               Tool Reference Systems- ORS System
• The planes of reference and the co-ordinate axes used for expressing the tool
 angles in ORS are: πR – πC – πO and X0 – Y0 – Z0
   • πR = Reference plane perpendicular to the cutting velocity vector,
     πC = cutting plane; plane perpendicular to πR and taken along the principal cutting edge
     πO = Orthogonal plane; plane perpendicular to both πR and πC and the axes;
     Xo = along the line of intersection of πR and πO
     Yo = along the line of intersection of πR and πC
     Zo = along the velocity vector, i.e., normal to both Xo and Yo axes
                                                                                            15
Tool Signature of SPTT in ORS system
                                       16
                Tool Signature of SPTT in ORS system
   Angle         Made by          With        Measured
                                                on
  Inclination      rake          principal       πC
    angle, λ      surface      cutting edge
 Orthogonal        rake         reference        πo
rake angle,γ0     surface         plane
 Orthogonal      principal          πC           πo
clearance,αo       flank
   Auxiliary     Auxiliary         πC’          πo’
 orthogonal        flank
clearance αo’
    φ 1= φ e    end cutting        πX            πR
                   edge
  φ=90- φs      Side cutting       πX            πR
                   edge                                  17
Auxiliary orthogonal clearance angle
                                       18
                     Summery of SPTT geometry
• ASA system-convenience of inspection
• ORS system- for analysis and research
  in machining and tool performance
• ORS does not reveal the true picture of
  the tool geometry when λ≠0.
• sharpening or resharpening of the tool
  by grinding in ORS requires some
  additional calculations for correction
  of angles.
• In NRS, rake and clearance angles are
  visualized in the normal plane, πN.
                                                19
                                         QUIZ
• Select the correct answer from the given four options :
1. Back rake of a turning tool is measured on its
(a) machine longitudinal plane
(b) machine transverse plane
(c) orthogonal plane
(d) normal plane
2. Normal rake and orthogonal rake of a turning tool will be same when its
(a) φ = 0
(b) φ1 = 0
(c) λ = 0
(d) φ1 = 90o
                                                                             20
                                      QUIZ
3. Normal plane of a turning tool is always perpendicular to its
(a) πX plane
(b) πY plane
(c) πC plane
(d) none of them
4. Principal cutting edge angle of any turning tool is measured on its
   (a) πR
   (b) πY
   (c) πX
                                                                         21
   (d) πo
                                                QUIZ
5. A cutting tool can never have its
(a) rake angle – positive
(b) rake angle – negative
(c) clearance angle – positive
(d) clearance angle – negative
6. Orthogonal clearance and side clearance of a turning tool will be same if
its perpendicular cutting edge angle is
(a) φ = 30  o
(b) φ = 45   o
(c) φ = 60  o
(d) φ = 90   o
                                                                               22
                                         QUIZ
7. Inclination angle of a turning tool is measured on its
(a) reference plane
(b) cutting plane
(c) orthogonal plane
(d) normal plane
8. Normal rake and side rake of a turning tool will be same if its
(a) φ = 0 and λ = 0
           o           o
(b) φ = 90 and λ = 0
               o           o
(c) φ = 90 and λ = 90
               o               o
(d) φ = 0 and λ = 9
           o
                                                                     23
                           Conversion of tool angles
• Purposes of conversion of tool angles from one system to another
   • To understand the actual tool geometry in any system of choice or convenience from the
     geometry of a tool expressed in any other systems.
   • To derive the benefits of the various systems of tool designation as and when required
   • Communication of the same tool geometry between people following different tool
     designation systems.
• Methods of conversion of tool angles from one system to another
   •   Analytical (geometrical) method: simple but tedious
   •   Graphical method – Master line principle: simple, quick and popular
   •   Transformation matrix method: suitable for complex tool geometry
   •   Vector method: very easy and quick but needs concept of vectors
                                                                                              24
                    Conversion of tool angles
                              • From ASA to ORS
• From ORS to NRS
                                                  25
                                                 QUIZ
1. If the approach angle of a turning tool be 30o, the value of its principal cutting edge angle will be
(a) O deg.
(b) 30o deg.
(c) 60o deg.
(d) 90o deg.
2. The values of orthogonal clearance and normal clearance of a turning tool will be same if,
(a) φ=0
(b) αX = αY
(c) λ = 0
(d) none of the above
3. Determine the values of normal rake of the turning tool whose
geometry is designated as : 10o, - 10o, 8o, 6o, 15o, 30o, 0 (inch)?
4. Determine the value of side clearance of the turning tool whose
geometry is specified as 0o, - 10o, 8o, 6o, 20o, 60o, 0 (mm) ?                                           26
              Effect of tool Geometry on machining
• Back Rake angle
  • Guides the direction of the chip flow.
  • The size of the angle depends upon the material to be machined
               Softer the material greater the positive rake angle.
  • Rake angle (Al) > Rake angle (C.I.)
  • With increase in back rake angle, the strength, forces and
  power consumption of tool will decrease and tool life will be increased.
  • Positive rakes are used when cutting low
     tensile strength and non-ferrous materials
  • Zero back rake is used during machining
     of brass work pieces and also during
     thread cutting operations.
  • The negative rake angles are used with
     tools which are weak in tension. (Carbide                               27
     cutting tools)
               Effect of tool Geometry on machining
• Back Rake angle
  • Higher value of rake angle weakens the cutting edge of tool.
  • the maximum value of positive rake angle is 45◦.
  • Cutting tools with negative rake angle are stronger and are used to cut high strength alloys.
  • the uses of an increased negative rake angle leads to increase cutting force during
    machining.
  • maximum negative back rake angle used = 10°
                                                                                             28
• Side Rake angle (5°-15°)
   •   guides the direction of the chip away from the job.
   •   With increase in side rake angle, the amount of chip bend in width direction decreases.
   •   Larger side rake angle produces smooth surface finish.
   •   As it increases, strength decreases, forces decreases, Power consumption decreases
       and Tool life increases.
• Clearance Angles
   • If this angle is very large, the cutting edge of the tool will be unsupported and will break.
   • If this angle is very small, the tool will rub on the job, cutting will not proper and poor
     finish will be obtained on the job.
   • Its values varies from 5 to 15°.
                                                                                                 29
• End cutting edge angle:
   • It acts as a relief angle that it allows only small section of the end cutting edge to contact with the
     machine surface and prevents chatter and vibration.
   • Normally it varies from 8 to 20°.
• Approach angle:
   • Avoids the formation of built up edge, controls the direction of chip flow and distributes the cutting
     force and heat produce over larger cutting edge.
   • Normally Cs = 0 to 90°
• The cutting edge angles are mainly influencing surface finish produced on the work
 piece.
                     Let Rt = Maximum peak to valley height (mm)
• If the value of s increases then Rt decreases. Thus better surface finish will be
  obtained.
                                                                                                         30
                                          Quiz
• For cutting of brass with single‐point cutting tool on a lathe, tool should have
   •   Negative rake angle
   •   Positive rake angle
   •   Zero rake angle
   •   Zero side relief angle
• The following tool signature is specified for a single point cutting tool in American
 system:10, 12, 8, 6, 15, 20, 3. What does the angle 12 represent?
   •   Side cutting‐edge angle
   •   Side rake angle
   •   Back rake angle
   •   Side clearance angle
• Normal rake and side rake of a turning tool will be same if its Principal cutting edge
 angle and inclination angle respectively are (in degree)
   •   0,0
   •   90,0
   •   90,90
   •   0,90
                                                                                          31
Thank you
            32