Page 84 - Plastics Engineering
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Mechanical Behaviour of Plastics                                 67















                        Fig. 2.18  Equivalent section for sandwich moulding


         exist between density (p) and modulus (Moore et ul.).

                                                2
                                                                       (2.19)

           From the equivalent section the second moment of  area can then be calcu-
         lated as
                         I=--- 12(1213  12(813 + 12 (-)2 m(
                               12       12         909
                          = 1439  UTI^

            The solid polypropylene beam which would have the same stiffness when
         loaded in the same way would need to have the same 2nd moment of  area. So
         if its depth is d then

                              12(d)3
                              --  - 1439, d = 11.3 ~UTI
                                12
           The weight per unit length of  the solid beam would be
                       W, = 12 x  11.3 x    x 909 x  lo3 = 123 g
            The weight per unit length of  the foamed beam is

                 Wf = (909 x 2 x  12 x 2 x     + (600 x  12 x 8 x
                     = 101.2 g

            Hence the weight saving is 17.7%
            Once  the  foamed  plastic moulding has  been  converted  to  an  equivalent
          section of  solid plastic then the long term design procedures illustrated in the
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