Page 131 - Pressure Vessel Design Manual
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Design of Vessel Supports   111

         of  120". The tnaxinium efficient saddle angle is  NO",  since   lugs  are  attached  can  be  made  thicker  to  reduce  the  local
         the  weiqht  and  saddle  splitting  force  go to  zero  above the   stress.
         belt  lin;.  In  effect,  taking  into  account  the  6"  allowed  for   There are two solutions presented  here  for analyzing the
         reduction  of  stresses  at the horn  for wear plates,  the  Max-   shell stresses caused by the eccentric lug action.  Method  1
         imum angle becomes  168".                             was developed  by  Wolosewick in the  1930s a..  part  of  the
           Saddles  may  be  steel  or  concrete.  They  may be bolted,   penstock analysis for the Hoover Dam Project. This method
         welded,  or  loose.  For  the  loose  type,  some  form  of  liner   utilizes "strain-energy''  concepts to analyze the shell as a thin
         should be used between the vessel and the saddle,.The typi-   ring. Thus,  this  method  is  frequently called "ring analysis."
         cal loose saddle is the concrete type. Usually one end of the   Ring analysis looks at all the loadings imposed on  the artifi-
         vessel is anchored and the other end sliding. The sliding end   cial ring section  and the  influence  that  each load exerts on
         may have bronze, oiled, or Teflon slide plates to reduce the   the other.
         friction  caused  by  the  thermal expansion or contraction  of   Method  2  utilizes  the  local  load  analysis  developed  by
         the vessel.                                           Bijlaard  in  the  1950s,  which  was  further  refined  and
           Longitudinal location of the saddles also has a large effect   described  in  the  WRC Bulletin  107. This  procedure  uses
         on the Lagnitude of the stresses in the vessel shell aS well as   the  principles  of  flexible load  surfaces.  This  procedure  is
         ;I  bearing on the  design of  the:  saddle parts themselves.  For   more  accurate, but more mathematically rigorous as well.
         large  diameter,  thin-walled  vessels,  the  saddles  are  best   When  making  decisions  regarding  the  de5ign  of  lugs,  a
         placed  within 0.5R of  the  tangent  line to take advantage  of   certain sequence of options should be followed. The follow-
         the  stiffening  effect  of  the  heads.  Othrr  vessels  are  best   ing represents a ranking of these options based on the cost to
         sripported where  the  longitudinal  bending  at the  midspan   fabricate the equipment:
         is  approximately  equal  to  the  longitudinal  bending  at  the
         saddles. Hoc\7ever, the niaximum distance is 0.2 L.      1. 2 lugs, single gusset
                                                                  2.  2 lugs, double gussets
                                                                  3. 2 lugs with compression plate
                     Lugs and Ring Supports                       4. Add-reinforcing pads under  (2) lugs
                                                                  5.  Increase size of  (2) lugs
                                                                  6.  4 lugs, single gusset
         Lugs                                                     7. 4 lugs, double gussets
                                                                  8. 4 lugs with compression  plates
           Lugs offer one of the least expensive and most direct ways   9.  Add reinforcing pads under (4) lugs
         of supporting pressure vessels. They can readily absorb &a-   10. Increase size of (4) lugs
         metra1 expansion by  sliding over greased  or bronzed  plates,   11. Add  ring supports
         are  easily  attached  to  the  vessel by  minimum  amounts  of
         welding, and are easily leveled in the field.
           Since lugs are eccentric supports they induce compressive,   Ring Supports
         tensile,  and shear  forces in  the shell wall. The forces  from
         thc. eccentric moments may cause high localized stresses that   In reality, ring supports are used when the local stresses at
         are combined  with  stresses  from internal  or external  pres-   the lugs become  excessively high. As  can be  seen from the
         sure. In thin-walled vessels, these high local loads have been   previous list, the option to go to complete, 360-degree stif-
         known  to  physically  deform  the  vessel  wall  considerably.   fening  rings  would,  in  most  cases,  be  the  most  expensive
         Such  deformations  can  cause  angular  rotation  of  the  lugs,   option. Typically, vessels supported by rings or lugs are con-
         which in turn can cause angular  rotations of the supporting   tained within a structure rather than supported at grade and
         steel.                                                as such would be subject to the seismic movement of which
           Two or four lug systems are normally used; however, more   they are a part.
          may  be  used  if  the  situation  warrants  it.  There is  a  wide   Vessels supported on rings should only be considered for
         variety  of  types  of  lugs, and  each  one will  cause  different   lower  or intermediate  temperatures,  say below 400  or 500
         stress  distributions  in  the  shell.  Either  one  or two  gussets   degrees.  Using ring supports  at higher  temperatures  could
         can be used, with or without a compression plate.  If  a com-   cause  extremely  large  discontinuity  stresses  in  the  shell
         pression  plate  is  used,  it  should  be  designed  to  be  stiff   immediately  adjacent to  the  ring  due  to  the  differences  in
         enough  to transmit  the  load uniformly along the  shell. The   expansion between the ring and the shell. For elevated tem-
         base plate  of  the  lug  can  be  attached  to  the  shell wall  or   perature  design,  rings  may  still be  used, but  should  not be
         unattached.  Reinforcing  pads  can  be  used  to  reduce  the   directly attached to the shell wall. A totally loose ring system
         shell stresses.  In  some cases, the shell course to which the   can be fabricated and held in place with shear bars. With this
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