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Chapter I I  Ultimate Strength of Cylindrical Shells                   223


                  reduction of the load carrying capacity, as effect of initial deflection on column buckling.
                  Therefore fabrication tolerance is applied to the stiffeners.
                  General Instability
                  General instability involves buckling of both the stringer and ring stiffeners together with the
                  shell plating. Due to the catastrophic consequences this failure mode may result in, restrictions
                  are applied in the design codes on the second moment of inertia for the ring stiffeners. Such
                  restrictions are to assure that the buckling strength for general instability mode is 1 to 4 times
                  of that for stringer-stiffened cylinder buckling.
                  11.4.2  Radial Pressure
                  External pressure may be applied either purely radially, known as “external lateral pressure
                  loading”, or all around the shell (both radially and axially), known as “external hydrostatic
                  pressure loading”. Potential failure modes include:
                       Local buckling of the panels between stringer stiffeners,
                       Stringer buckling,
                       General instability,
                       Local stiffener tripping,
                      Interaction of the above failure modes.
                  The formulation for collapse pressure pkc may be  found  from API Bulletin 2U (1987) and
                  Das et a1 (1992,2001).
                  Baht et  a1  (2002)  modified the  formulae  in  API  Bulletin 2U  (1987)  and  suggested the
                  following elastic buckling equation:




                  (11.38)
                   Capanoglu and  Baht (2002)  proposed  to  use  the  following equation for  the  geometric
                   parameter k, :
                                                               1                     (1 1.39)
                                  1 + (L,  L,)*     0.01 IM,’


                  where the imperfection parametera,  may be taken as 0.8. The plasticity correction factor 4 in
                  Section 10.1.6 may then be used to derive inelastic buckling strength.
                  11.4.3  Axial Compression and Radial Pressure

                  A simple interaction equation for the strength of stringer and ringer stiffened cylinders under
                  combined axial compression and external pressure may be expressed as:

                                                                                     (1 1.40)
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