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Part I1

                                                                     Ultimate Strength



                  Chapter 11  Ultimate Strength of Cylindrical Shells


                  11.1  Introduction
                  11.1.1  General
                  Cylindrical shells are important structural elements in  offshore structures, submarines and
                  airspace crafts. They are very often subjected to combined compressive stress and external
                  pressure, and  must be  designed to meet the strength requirements. A  theoretical load  end-
                  shortening curve representing unstiffened cylindrical shells under axial compression is shown
                  in Figure 1 1.1.  For a perfect shell, the stress-strain relation is linear until the bifkcation point,
                  B, where buckling occurs and load-carrying capacity decreases sharply. For an imperfect shell,
                  the stress-strain relation starts is non-linear from an early stage of loading, buckling occurs at
                  point L without showing obvious bifurcation phenomenon.



















                             Figure 11.1  Stress Strain Relations for Perfect and Imperfect Shells


                  Strength of imperfect cylindrical shell may be significantly lower than the bifurcation load.
                  The design of cylindrical shells is based on the modification of the theoretical predictions
                  using a knockdown factor for imperfection effect.
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