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SELECTION OF BEARING SIZE

5.5 Static Load Ratings and Static Equivalent                         where  Po : Static equivalent load (N), {kgf}                       5.6 Maximum Permissible Axial Loads for                                                     f : Load Factor              k : Size Factor
     Loads                                                                   Fr : Radial load (N), {kgf}                                       Cylindrical Roller Bearings
                                                                             Fa : Axial load (N), {kgf}                                                                                                                                                        Diameter series Value of k
5.5.1 Static Load Ratings                                                    Xo : Static radial load factor                               Cylindrical roller bearings having inner and outer                              Loading Interval Value of f
                                                                             Yo : Static axial load factor                                rings with ribs, loose ribs or thrust collars are capable                                                                    2 0.75
When subjected to an excessive load or a strong shock                                                                                     of sustaining radial loads and limited axial loads                              Continuous                   1               31
load, rolling bearings may incur a local permanent                    (b)Static equivalent load on thrust bearings                        simultaneously. The maximum permissible axial load is                           Intermittent                 2               4 1.2
deformation of the rolling elements and permanent                                                                                         limited by an abnormal temperature rise or heat seizure                         Short time only              3
deformation of the rolling elements and raceway                       Po = Xo Fr + Fa α =/ 90° .......................(5.32)              due to sliding friction between the end faces of rollers
surface if the elastic limit is exceeded. The nonelastic                                                                                  and the rib face, or the rib strength.
deformation increases in area and depth as the load                   where Po : Static equivalent load (N), {kgf}                        The maximum permissible axial load (the load                                    In the equations (5.34) and (5.35), the examination
increases, and when the load exceeds a certain limit,                                                                                     considered the heat generation between the end face of                          for the rib strength is excluded. Concerning the rib
the smooth running of the bearing is impeded.                                   α : Contact angle                                         rollers and the rib face) for bearings of diameter series                       strength, please consult with NSK.
The basic static load rating is defined as that static                                                                                    3 that are continuously loaded and lubricated with                              In addition, for cylindrical roller bearings to have
load which produces the following calculated contact                  When Fa<Xo Fr , this equation becomes less accurate.                grease or oil is shown in Fig. 5.13.                                            a stable axial-load carrying capacity, the following
stress at the center of the contact area between the                  The values of Xo and Yo for Equations (5.30) and                                                                                                    precautions are required for the bearings and their
rolling element subjected to the maximum stress and                   (5.32) are listed in the bearing tables.                            Grease lubrication (Empirical equation)                                         surroundings:
the raceway surface.                                                  The static equivalent load for thrust roller bearings with
                                                                                                                                                                                                                                 • Radial load must be applied and the magnitude
                                                                         α = 90° is Po = Fa                                                                                                                                       of radial load should be larger than that of axial
                                                                                                                                                                                                                                  load by 2.5 times or more.
      For self-aligning ball bearings 4 600MPa                                                                                                        900     (k⋅ d)2
                                           {469kgf/mm2}                                                                                                       1 500                                                              • Sufficient lubricant must exist between the roller
                                                                                                                                          { }CA = 9.8fn+                                                                          end faces and ribs.
                                                                      5.5.3 Permissible Static Load Factor                                            { } }= f         −  0.023   ×  (k⋅ d)2.5   ...(N)
                                                                                                                                                                                                                                 • Superior extreme-pressure grease must be used.
                                                                      The permissible static equivalent load on bearings                              900  (k⋅ d)2                                       .......(5.34)
                                                                      varies depending on the basic static load rating and                                 1 500                                                                 • Sufficient running-in should be done.
      For other ball bearings  4 200MPa                               also their application and operating conditions.                                n+            −  0.023  ×  (k⋅ d)2.5  .....{kgf}
                               {428kgf/mm2}                                                                                                                                                                                      • The mounting accuracy must be good.
                                                                      The permissible static load factor fs is a safety factor
      For roller bearings      4 000MPa                                                                                                   Oil lubrication (Empirical equation)                                                   • The radial clearance should not be more than
                               {408kgf/mm2}                           that is applied to the basic static load rating, and it is                                                                                                  necessary.
                                                                      defined by the ratio in Equation (5.33). The generally                          490 (k⋅d)2
                                                                                                                                                                                                                          In cases where the bearing speed is extremely slow, the
                                                                      recommended values of fs are listed in Table 5.8.                               n + 1 000                                                           speed exceeds the limiting speed by more than 50%, or
                                                                                                                                          { }CA = 9.8f                                                                    the bore diameter is more than 200mm, careful study is
In this most heavily stressed contact area, the sum of                Conforming to the modification of the static load rating,                       { } }= f         −  0.000135   ×      (k⋅ d)3.4  ...(N)             necessary for each case regarding lubrication, cooling,
                                                                                                                                                                                                                          etc. In such a case, please consult with NSK.
the permanent deformation of the rolling element and                  the values of fs were revised, especially for bearings for                      490  (k⋅ d)2                                             ...(5.35)
                                                                                                                                                           1 000
that of the raceway is nearly 0.0001 times the rolling                which the values of Co were increased, please keep this                         n+            −  0.000135   ×  (k⋅  d)3.4  .....{kgf}
                                                                      in mind when selecting bearings.
element's diameter. The basic static load rating Co                                                                                       where       CA : Permissible axial load (N), {kgf}
is written Cor for radial bearings and Coa for thrust                                                                                                  d : Bearing bore diameter (mm)
bearings in the bearing tables.                                       fs =   Co  ...............................................(5.33)
                                                                             Po                                                                       n : Speed (min–1)
In addition, following the modification of the criteria
for basic static load rating by ISO, the new Co values                where Co : Basic static load rating (N), {kgf}                       kgf         N            d=101020                                               kgf         N      d=101020
for NSK's ball bearings became about 0.8 to 1.3 times                                                                                     5,000       50,000          80                                                  5,000       50,000     80
the past values and those for roller bearings about 1.5                           Po : Static equivalent load (N), {kgf}                  4,000       40,000                                                              4,000       40,000
                                                                                                                                          3,000       30,000          60                                                  3,000       30,000      60
to 1.9 times. Consequently, the values of permissible                 For spherical thrust roller bearings, the values of fs                                         50                                                                           50
                                                                                                                                          2,000       20,000                                                              2,000       20,000      40
static load factor fs have also changed, so please pay                should be greater than 4.                                                                       40

attention to this.

5.5.2 Static Equivalent Loads                                         Table 5. 8 Values of Permissible Static Load Factor fs                  1,000   10,000                                                                   1,000  10,000
                                                                                                                                                 800   8,000                                                                     800   8,000
The static equivalent load is a hypothetical load                                                            Lower Limit of fs                         6,000                                                                           6,000
that produces a contact stress equal to the above                                                                                         CA 600       5,000                                                              CA 600       5,000
maximum stress under actual conditions, while the                                                          Ball Bearings Roller Bearings               4,000                                                                           4,000
bearing is stationary (including very slow rotation or                                                                                           500   3,000                                                                     500   3,000
oscillation), in the area of contact between the most                                                                                            400                                                                             400
heavily stressed rolling element and bearing raceway.                                                                                            300   2,000                                                                     300   2,000
The static radial load passing through the bearing
center is taken as the static equivalent load for radial                                                                                         200                                                                             200
bearings, while the static axial load in the direction
coinciding with the central axis is taken as the static                      Operating Conditions
equivalent load for thrust bearings.
                                                                      Low-noise applications               2.0       3.0                  100 1,000                                                                       100 1,000
(a) Static equivalent load on radial bearings                                                              1.5       2.0                   80 800                                                                          80 800
                                                                      Bearings subjected to vibration and  1.0       1.5
The greater of the two values calculated from the                     shock loads                                                         60 600                                                                          60 600
following equations should be adopted as the static                                                                                       50 500                                                                          50 500
equivalent load on radial bearings.                                   Standard operating conditions                                                           200 300 400 600 1,000 2,000 4,000 6,000 10,000                                  200 300 400 600 1,000 2,000 4,000 6,000 10,000

   Po = Xo Fr + Yo Fa ...................................(5.30)                                                                                               Grease Lubrication                               n min–1                        Oil Lubrication      n min–1

    Po = Fr ..................................................(5.31)                                                                                                          Fig. 5.13 Permissible Axial Load for Cylindrical Roller Bearings
                                                                                                                                                      For Diameter Series 3 bearings (k=1.0) operating under a continuous load and lubricated with grease or oil.

A 32                                                                                                                                                                                                                                                               A 33
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