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nodes











                                                       (a)  Nodal analysis/Modified nodal analysis
                                                               (“Linear” elements)



                                                                      nodes













                                                             (b)  Finite element analysis
                                                                        (Three-dimensional elements)

                                 FIGURE 13.6  Nodal analysis and finite element analysis.












                                                                     (a)  Ideal beam


                                                                                    rough surface
                                                           unaligned sections











                                                                      (b)  Actual beam

                                 FIGURE 13.7  Ideal and actual cantilever beams (side view).

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