Page 29 - Marine Structural Design
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6                                                 Part I Siruciural Design PrincipIes


                1.2.1  Ultimate strength Criteria
                Ultimate strength criteria are usually advocated in design codes for various basic types of the
                structural components such as:
                   columns & beam-columns
                  plates and stiffened panels
                   shells and stiffened shells
                   structural connections
                   hull girders
                An illustration of the Euler buckling strength is given in Figure 1.2 for pinned columns under
                compression. Due to combination of axial compression and initial deflection, the column may
                buckle when the axial compression approaches its critical value,
                         Z~EI
                     PCR =-
                          I=
                where 1 and EI are column length and sectional bending rigidity respectively. Due to buckling,
                the lateral deflection Swill increase rapidly.
                Initiation of yielding usually occurs in the most loaded portion of the structural members. As
                the yielding portion spreads, the bending rigidity of the structural component decreases and
                hence buckling is attained. For structural members other than un-stiffened thin-walled shells,
                ultimate strength is reached when inelastic buckling occurs.
                The  design  of  components in  ship  and  offshore  structures  is  mainly  based  on  relevant
                classification rules and API and IS0 codes. The classification rules are applicable to ocean-
                going ships, mobile  offshore drilling units  (MODU)  and  floating structures. For  offshore
                structural design, however, API and IS0 codes are more frequently applied.


                                                         6
                                     ---_
                           Pcr - , ------___  ____----- -j-pcr
                                                    ~
                                      Buckled Shape



                           Figure 1.2   Buckling of Pinned Columns
                It should be pointed out that final hcture is also part of the ultimate strength analysis. The
                assessment of final fracture has been mainly based on fiacture mechanics criteria in British
                standard PD6493 (or BS7910) and American Petroleum Institute code AFT 579. In fact there is
                a similarity between buckling strength analysis and fiacture strength analysis, as compared in
                the table below:
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