Page 166 - Pressure Vessel Design Manual
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B
          144    Pressure Vessel Design Manual
                     1-7~3
                                          r
                                              Load area
                                                Ab







             Load area           b



                                                                     Area of  bearing =
                                                                     area of cap plate
                                                                     b = 0 = diameter of plate



            Figure 3-28.  Determining the thickness of the lower ring to resist                         Support
                                bending.




                               Table 3-15
             Maximum Bending Moments in a Bearing Plate With Gussets
                                                                                      Notes
            e
            -                                                     1. Rings may induce high localized stresses in shell imme-
            b
                                                                    diately  adjacent  to  rings.  For  an  analysis  of  these
                                                                    stresses, see Procedure 4-3.
          0                     0                 ( - )0.500Bp12   2.  When  l/b 5 1.5,  the  maximum  bending  moment
          0.333             0.0078 B,  b2         ( - )0.428~,e~    occurs  at  the  junction  of  the  ring  and  shell.  When
          0.5               0.0293 B,  b2         ( - )0.319Bp12
          0.666             0.0558 B,  b2         ( - )0.227Bp12    l/b >1.5, the  maximum  bending  moment  occurs  at
          1 .o              0.0972 B,  b2         (-)0.119Bp12      the middle of the free edge.
          1.5               0.1230  B,  b2        ( - )O. 1 24Bp12   3.  Since the mean radius of the rings may be unknown at
          2.0               0.1 31 0 B,  b2       ( - )0.125BpE2    the  beginning  of  computations,  yet  is  required  for
          3.0-00             0.1330BP b2          ( - )0.125Bp12
                                                                    determining  maximum  bending  moment,  substitute
          Reprinted by permission of John Wiley & Sons, Inc.        R,  as a satisfactory approximation at that stage.
          From Process Equipment Design, Table 10.3. (See Note 2.)
                                                                  4. The following values may be estimated:
                                                                    e  Ring thickness: The thickness of each ring is arbitrary
            Bearing pressure,  B,:                                    and  can  be  selected  by  the  designer.  A  suggested
                                                                      value is
                  Q
            BP =Ab

            From  Table  3-15, select the  equation  for  the  maximum
            bending moment in the bearing plate. Use the greater of   Ring  spacing: Ring  spacing is  arbitrary and  can be
            M,  or M,.                                                selected  by  the  designer.  A  suggested  minimum
                                                                      value is
            c
            _-
            b-                                                        h=B-D
            M1, =                                                     Ring depth: The depth of ring cannot be computed
                                                                      directly,  but  must  be  computed  by  successive
             Minimum thickness of  lower ring, th:                    approximations. As  a first trial,
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