Page 68 - Pipelines and Risers
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BucklingKoIlapse of Deepwater MetaIIic Pipes                           41


        The cross sectional deformations just  before failure of  pipes  subjected to single loads are
        shown in Figure 3.1.













                             Pure bending   Pure pressure   Pure longitudinal force


        Figure 3.1 Cross sectional deformation of pipes Subjected to single loads.

        3.2.2  External Pressure
        Initial elliptical and corrosion defects are the two major types of  imperfections influencing
        collapse capacity of  pipes. In the following, the work  by  Timoshenko and  Gere (1961) is
        extended, by Bai and Hauch (1998), to account for the effect of corrosion defects.


        The deviation of  an  initial elliptical form from a perfect circular form can be defined by  a
        radial  deflection  ‘wi’ that, for simplification purposes, is  assumed given by  the  following
        equation:
             wi = w, 428)                                                  (3.1)


        in which  ‘w1’ is the maximum initial radial deviation from a circle and ‘8’ is the central angle
        measured as shown in Figure 3.2.
                                           w,
                                             :














                                           W,
                                             I
        Figure 3.2 Circular and Elliptic pipe section.
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