Page 99 - Plastics Engineering
P. 99

82                                    Mechanical Behaviour of  Plastics

                         area, I, will quantify the  stiffening effect of  the cross-section and  if  this is
                         related to the I  value for the flat sheet of the same length and thickness then it
                         is possible to define a stiffness enhancement factor, q, as

                                                        2                           2
                               q=-  { mh+-      (7- 4>  +ph+         (7-  (nh+ :))
                                   L
                                     +- sin a + - q)lJ                                (2.25)
                                              24n
                                       2nh
                                                    (7-
                                             h
                                               sin
                                                  a
                         where 7 = distance to centre of  area from the base of the cross-section, i.e.
                                                                  +
                                                 0.5m + pn + 0.5~ -
                                          y=h
                                                       p+m+-
                                                               tana
                         and
                                              b          B          D
                                          m=-        p=-        n=-
                                              h '        h '        h
                         Clearly there  are many  permutations of  D, b, h, a, etc and  Fig. 2.31  shows
                         how the stiffness enhancement factor, q, changes with various values of  these
                         parameters. In each case the angle a has been fixed at 85" and the corrugation
                         dimensions have been expressed as a function of  the wall thickness, h.



























                                     Fig. 2.31  Stiffness of cormgations as function of dimensions
   94   95   96   97   98   99   100   101   102   103   104