Page 147 - Pressure Vessel Design Manual
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Design of  Vessel Supports   125


                                Notes                               0  Hemy  tjessels  (single large  vessel  or multiple  large
                                                                      vessels): The vessel(s) is the principal vibrating ele-
            1. Vessels mounted in structures  at some elevation other   ment. It requires  a combined seismic model, which
              than  grade  generally  will  experience  amplified  base   simulates the mass and stiffness properties of vessel
              motion  near  and above the natural  frequencies of  the   and structure.
              support qtructure.                                 2.  For tall slender vessels, the  main  concern  is  bending.
                                                                    For short, squat vessels the main concern is base shear.
              0  Light uessels (less than  1% of structure weight):   3.  The procedures outlined in this chapter are static-force
                a.  If  vessel  frequency  >  structure  frequency,  then   procedures, which assume that the entire seismic force
                   vessel  is  subjected  to  maximum  acceleration  of   due to ground  motion is applied instantaneously. This
                   the structure.                                   assumption  is  conservative  but  greatly  simplifies  the
                h.  If  vessel frequency  <  structure  frequency, then   calculation  procedure.  In  reality  earth  quakes  are
                   vessel will  not  be  affected  by  structure.  It will   time-dependent events and the full force is not realized
                   respond as if it were mounted at grade.          instantaneously.  The UBC  allows, and in  some cases
              e iMedium vessels  (less than  20% of' structure weight):   requires, that a dynamic analysis be performed  in lieu
                Approximate methods may be used to develop the in-   of  the  static  force  method.  Although  much  more
                structure response  spectra. The method used should   sophisticated,  often  the  seismic loadings are reduced
                account for interaction between vessel and structure   significantly.
                (energ)l feedback). Consideration should be given to
                account for ductility of the vessel.



                                                  PROCEDURE 3-4

                    SEISMIC DESIGN-VESSEL  ON UNBRACED LEGS 14-71


                                                                    f,  =axial  stress, psi
                              Notation                              fh =bending  stress, psi
                                                                    E = modulus of elasticity, psi
              A = cross-sectional area, leg, in.  2                 g = acceleration due to gravity, 386 in./sec2
              I7 = base shear, lb                                   e = eccentricity of legs, in.
              \V  = operating weight, lb                           MI, =overturning  moment at base, in.-lb
               n = number of legs                                  M, = overturning moment at tangent line, in.-lb
              C, =vertical  seismic factor                         M =bending  moment in leg, in.-lb
             C:h  =horizontal  seismic factor                       I1 =summation  of moments of inertias of all legs per-
               y =static  deflection,  in.                              pendicular to Fl,, ins4
              F, = vertical seismic force, lb                       Iz = summation  of  moments  of  inertia of  one leg per-
              F1, =horizontal  seismic factor, see Procedure  3-3       pendicular to Fl,, in.4
              F, = allowable axial stress, psi                       I = moment of inertia of one leg perpendicular  to Fh,
              FI, = allowable bending stress, psi                       in.4
              F, =seismic  force applied at top of vessel, lb      C, =distance  from centroid to extreme fiber, in.
              F:,  = Euler stress divided by safety factor, psi    C,, = coefficient, 0.85 for compact members
              f, = maximum eccentric load, lb                      K1 = end connection  coefficient, 1.5-2.0
              V,, = horizontal load on leg, lb                      T =period  of vibration, sec
              F,, = maximum axial load, Ib                           r =least  radius of  gyration, in.
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