Page 205 - Mechanical Engineer's Data Handbook
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MANUFACTURING TECHNOLOGY                                                          193

          Power                                       5.7.3   Surface finish

                     kdfv
          Turning: P=-                                Different processes produce different degrees of finish
                     moo0                             on machined surfaces. These are graded from N1 with
          Drilling: T= k,fo.75D1.8                    an average height of roughness of 0.025 pm, up to N12
                                                      roughness 50pm. The manner  in  which  a  machined
                    2nN T                             surface is indicated is shown.
                 p=-
                    6ooo0                                                       a+b+c+.  . .
                                                      Average height of  roughness, h, =
          Milling: P = -                                                             L
                    kMdwfm
                      60                              -where  a, b, c, etc. =area on graph, and L =length  of
                                                      surface.
          Volume of metal removed
          Turning:  V = dfv
                    ZD2j7V
          Drilling:  V=-
                     4Ooo

                    wdfM
          Milling: V=-
                    lo00

          Roughness grade      N1   N2   N3    N4   N5   N6    N7   N8   N9    N10  N11  N12

          h,(pm)               0.025  0.05  0.1   0.2   0.4   0.8   1.6   3.2   6.3   12.3  25   50
           Finishing processes    Surface indication

          Mill     Ream
          Bore     Broach
          Turn     Lap
           Grind   Hone, etc.






          5.7.4   Merchants circle for tool forces    The diagram can be drawn to give:
                                                       F, =shear  force
          ‘Merchant’s circle’ is a well-known construction  for   F, = resultant force
          the analysis of cutting forces for a single-point tool. If   F=friction force on tool face
          the cutting and feed forces, the initial and final chip   F,,  = force normal to shear force
          thickness and the tool rake angle are known, then the   F, =force normal to F
          other forces, friction and shear angles can be found.   p =coefficient of  friction = F/F,
          Known:                                        6 =friction  angle = tan -  p
           F, =cutting force                            4 = shear angle
           F,=feed  force
            t, =initial  chip thickness
            t, =final  chip thickness
            a = tool rake angle
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