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196                                                      Part II Ultimate Strength


                 generalization makes it possible to effectively conduct analysis of plated structures and shell
                 structures (see Ueda and Yao, 1982). It is also possible to include the effect of strain hardening
                 in the formulation, see Ueda and Fujikubo (1986). However, geometrical nonlinearity is not a
                 subject discussed in the plastic node methods.
                 The Idealized Structural Unit Methods (Ueda and Rashed, 1984) make use of the Plastic Node
                 Methods to deal with the plasticity, and utilize empirical formulae (such as those in design
                 codes) for ultimate strength analysis of individual components. In this Chapter, however, an
                 attempt has been made to predict the ultimate strength of the components using simplified
                 inelastic  analysis  instead  of  empirical  formulae.  The  advantage  of  using  the  simplified
                 inelastic  analysis  is  its  ability  to  account  for  more  complex  imperfection and  boundary
                 conditions that are not covered in the empirical formulae. However, the disadvantage is its
                 demand for computing effort and its complexity that may lead to loss of convergence in a
                 complex engineering analysis.

                 9.7  References
                 1.    AISC  (1978),  “Specification for the Design, Fabrication and  Erection  of  Structural
                       Steel for Buildings, with Commentary”, American Institute of Steel Construction.
                 2.    API  RP  2A,  (2001),  “Recommended  Practice  for  Planning,  Designing  and
                       Constructing Fixed Offshore Platforms - Working Stress Design (WSD), or - Load
                       Resistance Factored Design (LRFD)”, (latest revision), American Petroleum Institute.
                 3.    Bai, Y. (1989), “Load Carrying Capacity of Tubular Members in Offshore Structures”,
                       Ph.D. Thesis, Hiroshima University, Jan. 1989.
                 4.    Batterman, C.S.  (1 963, ‘Tlastic Buckling of Axially Compressed Cylindrical Shells”,
                       AIAA J., V01.3 (1965), pp.316-325.
                 5.    Bouwkamp, J.G.  (1979, “Buckling and Post-Suckling Strength of Circular Tubular
                       Section”, OTC, No-2204, PP.583-592.
                 6.    Chen, W.F.  and Han, D.J.  (1985),”Tubular Members in offshore  Structures”, Pitman
                       Publishing Ltd, (1985).
                 7.    Det norske Veritas (1981), Rules for Classification of Mobile Offshore Units (1981).
                 8.    Gerard,  G.  (1 962),  “Introduction  to  Structural  Stability  Theory”,  McGraw-Hill
                       International Book Company, New York.
                 9.    Rashed,  S.M.H  (1980),  “Behaviour  to  Ultimate  Strength  of  Tubular  Offshore
                       Structures by the  Idealized Structural Unit  Method”, Report SK/R  51, Division of
                       Marine Structure, Norwegian Institute of Technology, Trondheim, Norway.
                 10.   Reddy,  B.D.  (1979),  “An  Experimental Study of  the  Plastic  Buckling of  Circular
                       Cylinder in Pure Bending”, Int. J. Solid and Structures, Vol.  15, PP. 669-683.
                 11.   Smith,  C.S.,  Somerville,  W.L.  and  Swan,  J.W.  (1979),  “Buckling  Strength  and
                       Post-Collapse Behaviour of Tubular Bracing Members  Including Damage Effects”,
                       BOSS, PP.303-325.
                 12.   Toi, Y.  and Kawai, T.  (1983), “Discrete Limit  Analysis of Thin-Walled Structures
                       (Part 5) - Non-axisymmetric Plastic Buckling Mode of Axially Compressed Circular
                       Shells”, J. Society of Naval Arch. of Japan, Na. 154, pp.337-247 (in Japanese).
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