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2.4 Application                                            39



                                 2.4   Application

                                     2.4.1  Twenty-one Truss Members in Two Dimensions

                                           The  same  process  used  for  analyzing  the  two  truss
                                 members  in  the  preceding  example  can  be  employed  to  solve  a
                                 more complicated truss structure.  A truss structure, as shown in the
                                 figure, consists of 21 members.  All members have the same cross-
                                                      2
                                 sectional area of .01 m  and made from a structural steel material
                                                                           2
                                 with  the  Young’s  modulus  of  210  11  Nm .    The  structure  is
                                 supported by the hinges at the left and right ends, and is subjected
                                 to different vertical loadings as shown in the figure.
                                  A   .1 .1   .01m 2
                                        
                                                             Y
                                        
                                 E   210  11  N m 2                    5 m            1 m


                                                                                       5 m
                                                                                            X

                                         1000 N                           1000 N
                                                  2000 N          2000 N

                                                          4000 N
                                         The finite element model consisting of 21 two-node truss
                                 elements  can  be  constructed  easily  by  using  the  Line  command.
                                 The boundary conditions of fixed x- and y-displacements at the left
                                 and right end hinges and the concentrated forces at lower nodes of
                                 the model can be applied conveniently as shown in the figure.
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