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9. FITS AND INTERNAL CLEARANCES

9.1 Fits                                                             9.1.2 Selection of Fit                                               Therefore, the effective interference &d should be                      roughness of the surfaces and may be estimated using
                                                                                                                                          larger than the interference given by Equation (9.1).                   the following equations:
9.1.1 Importance of Proper Fits                                      (1) Load Conditions and Fit                                          However, in the case of heavy loads where the radial
                                                                     The proper fit may be selected from Table 9.1 based on               load exceeds 20% of the basic static load rating C 0r,                  For ground shafts      & d=   d   & da  . . . . . . . . . . . . (9.4)
In the case of a rolling bearing with the inner ring fitted          the load and operating conditions.                                   under the operating condition, interference often                                                    d+2
to the shaft with only slight interference, a harmful                                                                                     becomes shortage. Therefore, interference should be
circumferential slipping may occur between the inner                 (2) Magnitude of Load and Interference                               estimated using Equation (9.2):                                         For  machined  shafts  & d=   d   & da  . . . . . . . . . . . . (9.5)
ring and shaft. This slipping of the inner ring, which is            The interference of the inner ring is slightly reduced                                                                                                                    d+3
called “creep”, results in a circumferential displacement            by the bearing load; therefore, the loss of interference
of the ring relative to the shaft if the interference                should be estimated using the following equations:                   & d≥0.02  Fr  10–3 . . . . . . . . . . (N)¹
fit is not sufficiently tight. When creep occurs, the                                                                                               B                   º . . . . . . . (9.2)
fitted surfaces become abraded, causing wear and                                               d      10 –3 . . . . . . . . (N)¹                                                                                  where & d : Effective interference (mm)
considerable damage to the shaft. Abnormal heating                         & dF = 0.08         B  Fr                                                Fr  10–3 . . . . . . . . . {kgf}»                                      & d a : Apparent interference (mm)
and vibration may also occur due to abrasive metallic                      & dF = 0.25                                                              B                                                                         d : Bearing nominal bore diameter (mm)
particles entering the interior of the bearing.                                                                            º . . . (9.1)  & d≥0.2
It is important to prevent creep by having sufficient                                                                                                                                                             According to Equations (9.4) and (9.5), the effective
interference to firmly secure that ring which rotates                                          d  Fr  10 –3 . . . . . {kgf}»                                                                                      interference of bearings with a bore diameter of 30 to
to either the shaft or housing. Creep cannot always                                            B                                                                                                                  150 mm is about 95% of the apparent interference.
be eliminated using only axial tightening through                                                                                         where  & d : Effective interference (mm)
the bearing ring faces. Generally, it is not necessary,                                                                                           Fr : Radial load applied on bearing                             (5) Fitting Stress and Ring Expansion and
however, to provide interference for rings subjected                 where        & d F : Interference decrease of inner ring                          (N), {kgf}                                                      Contraction
only to stationary loads. Fits are sometimes made                                        (mm)                                                      B : Nominal inner ring width (mm)
without any interference for either the inner or outer                                                                                                                                                            When bearings are mounted with interference on
ring, to accommodate certain operating conditions, or                                d : Bearing bore diameter (mm)                       (3) Interference Variation Caused by Temperature                        a shaft or in a housing, the rings either expand or
to facilitate mounting and dismounting. In this case,                                B : Nominal inner ring width (mm)                         Difference between Bearing and Shaft or                            contract and stress is produced. Excessive interference
to prevent damage to the fitting surfaces due to creep,                             Fr : Radial load applied on bearing                        Housing                                                            may damage the bearings; therefore, as a general
lubrication of other applicable methods should be                                                                                                                                                                 guide, the maximum interference should be kept under
considered.                                                                              (N), {kgf}                                       The effective interference decreases due to the                         approximately 7/10 000 of the shaft diameter.
                                                                                                                                          increasing bearing temperature during operation. If                     The pressure between fitted surfaces, expansion or
                                                        Table 9.1 Loading Conditions and Fits                                             the temperature difference between the bearing and                      contraction of the rings, and circumferential stress
                                                                                                                                          housing is & T (°C), then the temperature difference                    may be calculated using the equations in Section 15.2,
                                                        Bearing Operation                                         Fitting                 between the fitted surfaces of the shaft and inner ring                 Fitting(1) (Pages A130 and A131).
                                                                                                                                          is estimated to be about (0.1~0.15) & T in case that
                                                                                                                                          the shaft is cooled. The decrease in the interference of                9.1.3 Recommended Fits
                                                                                                                                          the inner ring due to this temperature difference & d T
                                                                                                                                          may be calculated using Equation (9.3):                                 As described previously, many factors, such as
                                                                                                                                                                                                                  the characteristics and magnitude of bearing load,
Load Application                                        Inner Ring   Outer Ring      Load             Inner Ring           Outer Ring     & d T = (0.10 to 0.15) × & T⋅α⋅d                                        temperature differences, means of bearing mounting
                                                                                  Conditions                                                   H0.0015& T ⋅ d × 10–3 . . . . . . . . . . . . . . . . . . . (9.3)  and dismounting, must be considered when selecting
       Load                                                                                                                                                                                                       the proper fit.
       Stationary                                        Rotating    Stationary    Rotating                                               where  & d T : Decrease in interference of inner ring                   If the housing is thin or the bearing is mounted on a
                                                        Stationary    Rotating    Inner Ring                                                            due to temperature difference (mm)                        hollow shaft, a tighter than usual fit is necessary. A
          Load Rotating                                                                               Tight Fit            Loose Fit                                                                              split housing often deforms the bearing into an oval
                                                                                     Load                                                        & T : Temperature difference between bearing                     shape; therefore, a split housing should be avoided
                                                                                                                                                        interior and surrounding parts (°C)                       when a tight fit with the outer ring is required.
                                                                                  Stationary                                                                                                                      The fits of both the inner and outer rings should be
                                                                                  Outer Ring                                                        α : Coefficient of linear expansion of                        tight in applications where the shaft is subjected to
                                                                                                                                                        bearing steel=12.5×10–6 (1/°C)                            considerable vibration.
                                                                                     Load                                                                                                                         The recommended fits for some common applications
                                                                                                                                                     d : Bearing nominal bore diameter (mm)                       are shown in Table 9.2 to 9.7. In the case of unusual
                                                                                                                                                                                                                  operating conditions, it is advisable to consult NSK.
                                                        Stationary    Rotating     Rotating                                               In addition, depending on the temperature difference                    For the accuracy and surface finish of shafts and
                                                         Rotating    Stationary   Outer Ring                                              between the outer ring and housing, or difference in                    housings, please refer to Section 11.1 (Page A100).
                                                                                                                                          their coefficients of linear expansion, the interference
                                                                                     Load                                                 may increase.

                                       Load Stationary                            Stationary          Loose Fit            Tight Fit      (4) Effective Interference and Finish of Shaft and
                                                                                  Inner Ring                               Tight Fit           Housing
                                     Load
                                     Rotating                                        Load                                                 Since the roughness of fitted surfaces is reduced
                                                                                                                                          during fitting, the effective interference becomes
     Direction of load indeterminate due to                                                                                               less than the apparent interference. The amount of
     variation of direction or unbalanced load                                                                                            this interference decrease varies depending on the

A 82                                                    Rotating or  Rotating or  Direction of Load   Tight Fit
                                                        Stationary   Stationary     Indeterminate

                                                                                                                                                                                                                                                          A 83
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