Page 148 - Rollingbearings
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B.6  Bearing interfaces
        Tolerances for seats               For shaft diameter ratios c > 0,5 the diam­  • The diameter ratio of the bearing inner
                                                              i
        on hollow shafts                   eter tolerance determined for a seat on a   ring is
                                           solid shaft should be adjusted to achieve the
                                           same effectiveness of the it on the hollow
        When a bearing is mounted on a hollow   shaft. This can be done with the following   c  =  JJJJJJJ  40   = 0,77
                                                                                e
        shaft using an interference it, the shaft   procedure.                      0,3 (80 – 40) + 40
        experiences more elastic deformation than a
        solid shaft. As a result, the effectiveness of   1 Determine the mean probable interfer­  • The mean probable interference on a solid
        the it is less than for the same size solid   ence for the tolerance selected for a seat   shaft is
        shaft. The effectiveness of an interference it   on a solid shaft, Δ (Tolerances and result-  Δ  = (22 + 5) / 2 = 13,5 μm (table 14,
                                                          S
                                                                                 S
        on a hollow shaft depends on certain diam-  ant its, page 153).         page 160, k5 for a 40 mm shaft diameter)
        eter ratios (ig. 5):               2 Determine the required increase of inter­
                                             ference for the seat on the hollow shaft   • The increase in interference for the seat
        • the diameter ratio of the hollow shaft   from diagram 1, based on the diameter   on the hollow shaft is
          c  = d  / d                        ratios c and c .                   Δ / Δ  = 1,7 (diagram 1, c  = 0,8 and
           i
                                                  i
                                                      e
                                                                                    S
              i
                                                                                                   i
                                                                                 H
            For diameter ratios c  ≤ 0,5 the reduc­  3 Calculate the required mean probable   c  = 0,77)
                          i
                                                                                e
          tion of effectiveness is negligible.  interference for the seat on the hollow
        • the diameter ratio of the bearing inner   shaft and select the tolerance class   • The requisite interference for the seat on
          ring c  = d / d e                  accordingly.                       the hollow shaft is
              e
            When the average outside diameter of                                Δ  = 1,7 × 13,5 = 23 μm
                                                                                 H
          the inner ring d  is not known, the diam­  Example
                     e
          eter ratio can be estimated from                                    • The appropriate tolerance class for the
                                           A 6208 deep groove ball bearing with   seat on the hollow shaft is m6 (table 14,
                                           d = 40 mm and D = 80 mm is to be mounted   mean probable interference,
                 d
           e                               on a hollow shaft with a diameter ratio   (33 + 13) / 2 = 23 μm)
              k (D – d) + d
          c  =  JJJJJ
                                           c  = 0,8. What is the appropriate tolerance
                                            i
                                           class for the shaft seat?
                                             The bearing is subjected to normal loads,
          where                            and a tolerance class k5 is appropriate for a
    Bearing interfaces  d = bearing bore diameter [mm]
          c  =  diameter ratio of the bearing inner
                                           seat on a solid shaft.
           e
             ring
          D = bearing outside diameter [mm]
          k  = adjustment factor
             =  0,25 for self­aligning ball bearings in
              the 22 and 23 series
    B.6      = 0,25 for cylindrical roller bearings
             = 0,3 for other bearings
                                                                                                      Diagram 1
                                             Relationship of interference Δ H , needed for a hollow steel shaft, to the known interference Δ S
                                             for a solid steel shaft
                                   Fig. 5
                                                         Δ H  / Δ S
          Seat on a hollow shaft                         2,0

                                                         1,8
                                                                                      ce = 0,7
                                                         1,6

                                                         1,4
                              d i d  d e                                                 0,8
                                                         1,2
                                                                                         0,9
                                                         1,0
                                                           0   0,1  0,2  0,3  0,4  0,5  0,6  0,7  0,8  0,9
                                                                                                 c i


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