Page 230 - Marine Structural Design
P. 230

206                                                      Part N Ultimate Strength


                 The equivalent reduced slenderness ratio to be used in the above plasticity correction may then
                 be expressed as (DNV, CN 30.1, 1995):
                                                        1
                                                                                     (1 0.16)


                 The exponent c depends on the plate aspect ratio. Square plates tend to be more sensitive to
                 combined  loading than long plates, because the two buckling modes  coincide for bi-axial
                 compression. Therefore, a linear interaction is often used  for square plates and  an elliptic
                 interaction for  long plates. DNV  CN  30.1 (1995) propose the  following equation for  the
                 buckling strength of the plate under combined loads:


                                                                                     (1 0.17)


                 10.2.2  Ultimate Strength - Ultimate Limit State
                 The ultimate strength of the plate may be estimated as (DNV, CN 30.1, 1995):
                                                                                    (10.18)



                                 ,
                      CTuh = - 1.0<&15.0                                            (1 0.19)
                           OY
                          &J5
                 The Serviceability Limit State (SLS) and Ultimate Limit State (ULS) are compared in Figure
                 10.7. For  very  slender plates,  the  ultimate  strength  is  significantly larger  than  buckling
                 strength.


                                      1.2  3
                                   g  1.0 -
                                  '
                                     0.8
                                        -
                                   b"
                                   0  0.6 -
                                   'd
                                   E
                                   V)  0.4 -
                                   B
                                   Vl  0.2 -
                                     0.0  7
                                       0.0     1 .o    2.0     3.0     4.0
                                             Reduced slenderness ratio  h


                            Figure 10.7  Ultimate Strength versus Buckling Strength of Plates.


                 Balint et  a1  (2002) proposed the  following equation for ultimate  strength of plates under
                 combined loads:
   225   226   227   228   229   230   231   232   233   234   235