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Chapter I3 Collapse Analysis of Ship Hulls                            255



                                                                                      (1 3.12)



                                               and  where  b  and  t  are  plate  Width  and  thickness,
                  respectively. The  maximum  initial  deflection w, max  and  the  residual  stress  or can  be
                  determined by  following Faulkner (1975).  The reduction  coefficient R, for the  transverse
                  stress  cr2 can be determined from:
                                         forcompressiv o,
                                                                                      (1 3.13)
                                          for tensib o,
                  where oZu is the ultimate stress of the plate subjected to uniaxial transverse compression. The
                  reduction coefficient R, for shear stress z  is determined by:
                       R, = [1 - (z/z,  )'Iv2                                        ( 1 3.14)

                  where,
                       z,  =cy /%E                                                   (1 3.15)










                                                                                       b
                                                             f
                                                             b
                                                             1



                                             (a)                            (b)
                              Figure 13.2  Stress Distribution after Buckling in Long and Wide Plate.
                                         (a) Long Plate; @) Wide Plate


                  To calculate the stiffness of the plate part, a reduced effective width ge is introduced as:


                                                                                     (13.16)

                  For  a wide plate (Figure 13.2),  the ultimate effective width b,  is  determined by  following
                  Hughes (1983):
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