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probabilistic Design analysis   •   107
                      review the correlation data that has been used to derive sensitivities and
                      decide if individual sensitivity values are significant or not. This infor-
                      mation is collected in the correlation matrix of the RPSs versus the RVs.
                      The PDS also lets you review the correlations that have been sampled
                      between RVs, which are stored in the RVs correlation matrix. The cor-
                      relations between RPs are important if you want to use the probabilistic
                      results of your probabilistic analysis as input for another probabilistic
                      analysis.



                      3.6   tutoriaL 4: ProBaBiListiC design
                            anaLysis of CirCuLar PLate Bending

                      In this tutorial, a circular plate of thickness t with a center hole is rigidly
                      attached along the inner edge and unsupported along the outer edge. The
                      plate is subjected to bending by a moment M  applied uniformly along
                                                            a
                      the outer edge. The input parameters are subject to uncertainty. Measure-
                      ments show that the plate dimensions can vary significantly. Specimen
                      tests show that the material properties can also vary. The applied force is
                      also subject to uncertainty. You will determine the variation of the output
                      parameters given the uncertainty of the plate dimensions, material proper-
                      ties, and applied force. The output parameters that you will study are the
                      maximum deflection of the plate and the maximum equivalent stress at the
                      clamped edge.


                               Y                               Z


                                                   M a                      M a
                                    a
                                             X
                                 b
                                                             b            t
                                                          a



                       Geometric properties         Value          Distribution
                       Inner radius (b)          100.0±0.1 mm        Uniform
                       Outer radius (a)          300.0±0.1 mm        Uniform
                       Thickness (t)              1.0±0.1 mm         Uniform
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