Page 39 - ISCAR's solutions for Heavy Machining 2022
P. 39

General - Calculations




                               -1
           Spindle Speed (min )                               Example
          n=  v  ∙1000                                        Drill DR 220-044-25-07-2D-N (Ø22 mm) - Material No. 4
               c

               π ∙ D

                                                              kc=2200 N/   k=90º, sin k=1
                                                              mm 2
           Cutting Speed (m/min)                              vc=200 m/min CMh=50 $/h  η=0.75
               π ∙ D ∙ n
          vc =     1000                                       km=1 kf=1    f=0.15 mm/revL=25 mm h=10 mm

                                                                            200 ∙ 1000
                                                                            ∙
                                                              n =  vc ∙ 1000           π ∙ 22     = 2894 min -1
                                                                       π ∙ D

           Table Feed (mm/min)
          vf = f ∙ n                                          vf = f ∙ n=0.15 ∙ 2894 = 434 mm/min
                                                                               =
                                                              Q =  vf  ∙ π  ∙ D 2  434 ∙ 3.14 ∙ (22) 2


                                        3
           Material Removal Rate (cm /min)                               4000          4000
                                                              = 165 cm /min
                                                                      3
          Q=  v  ∙ π ∙ D 2                                                  Q
               f
                  4000

                                                              Pc =       60.000 ∙  η  ∙ Kc ∙ sin k

           Power Requirement (kW)                             =        65     60.000 ∙ 0.75   ∙ 2200 ∙ 1 =8.06 kW



          Pc =       Q          ∙ kc ∙ sin k                  Mc =   f ∙ Kc      ∙     ∙ sin k
                                                                             D 2
                60.000 ∙ η



                                                                        10000
                                                                              8
                                                                           222
           Torque (Nm)                                        =  0.15 ∙ 2200        8
                                                                           ∙    ∙ 1 ∙1 = 20 Nm

                                                                   10000

                       D 2
          Mc =  f ∙ k c    8                                  Ff = 0.63 ∙    ∙f ∙ Kc ∙ sin k
                                                                        D
                      ∙    ∙ sin k∙km
                  1000


                                                                         2
                                                                      22
                                                                            2

           Feed Force (approx.) (N)                           = 0.63 ∙    ∙ 0.15 ∙ 2200 ∙ 1 ∙1 = 2286 n
                     D
          Ff = 0.63 ∙   ∙ f∙kc∙sin k∙kf                       Tc =  L+h   =  25+10
                      2

                                                                                 = 0.08 min/piece


                                                                       V f       434
           Machining Time (min/piece)                         Cc =  CMh   ∙ Tc =        60
                                                                              50 ∙ 0.08
                                                                         60



          Tc =  L+h                                           = 0.067 $/piece
                      v f
                                                              kc Values
           Machining Cost ($/piece)
          Cc =  C Mh   ∙Tc

                   60

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