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66                             Chapter 4  Plan Stress Analysis



                               4.3  Academic Example

                                  4.3.1  Plate with Circular Cut-out
                                         A  rectangular  plate  with  dimensions  of  1.4 1m   is
                              shown in the figure.  The plate has a circular cut-out with radius of
                              .2 m at its center.  The plate is made from a material that has the
                              Young’s  modulus  of  710 N m  10  2   and  Poisson’s  ratio  of  0.3.
                              The  plate  is  subjected  to  the  uniform  loadings  of  710 N m  7  2
                              along the left and right edges.
                                                                     y
                                                                               
                                                                            710 N/m   2
                                                                                   7
                                                                          0
                                      1m                                         x

                                                 .2 m
                                                1.4 m

                                         Since the problem has its solution symmetry, the upper
                              right quarter of the plate can be used for analysis.  Model of the
                              upper  right  quarter  is  shown  in  the  figure  with  symmetrical
                              boundary condition along the left and bottom edges.

                                            y
                                                                    710 N/m   2
                                                                       
                                                                           7
                                                                   0



                                       .5 m


                                              .2 m
                                                                                x

                                                           .7 m


                                         Steps  for  analyzing  this  problem  by  employing  the
                              ANSYS Workbench are as follows.
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