Page 162 - Finite Element Analysis with ANSYS Workbench
P. 162

8.2 Fatigue and Life Prediction                           153



                                 stress cycles.  As an example, if we follow the Goodman criterion,
                                 the effective stress   is determined from,
                                                    e
                                                        a     m    1

                                                         e     u    n
                                 The computed effective stress    is used to further determine the
                                                               e
                                 number of cycles  N  from the S-N curve as shown earlier.  Thus,
                                                    e
                                 the  life  of  the  structural  part  or  machine  component  can  be
                                 predicted.    We  will  employ  an  academic  example  and  an
                                 application  problem  to  demonstrate  life  prediction  of  a  structural
                                 part and a machine component in the following sections.

                                     8.2.2  Academic Example
                                            A U-shape plate with its thickness of 0.02 m is shown
                                 in the figure.  The plate is made of structural steel material with the
                                 Young’s modulus of 210 N m  11  2   and Poisson’s ratio of 0.3.  The

                                 plate  is  clamped  along  the  left  edge  while  the  right  edge  is
                                                                            8
                                 subjected  to  a  cyclic  pressure  loading  of  10  Pa.  We  will  use
                                 ANSYS software through the Workbench to estimate the plate life
                                 in form of the pressure cycles.
                                      y   E   210 N/m ,        0.3, t   .02 m
                                                
                                                   11
                                                          2
                                           .2       R  .05
                                                                     
                                                                                  p  10 Pa
                                                                                       8
                                           .2
                                                                                      x
                                           .2              .6             .2


                                  (a)  Starting ANSYS Workbench

                                      Open the ANSYS Workbench, set the Units menu on the
                                                                  
                                        upper tab to Metric (kg,m,s, C,A,N,V).
   157   158   159   160   161   162   163   164   165   166   167