Page 36 - 4560
P. 36

To  determine  the  main  coefficients   ,   ,  ...,     we  need
                                                11   12       nn
          diagrams  M ,  M , ...,  M  multiply to themselves according to
                            2
                                    n
                      1
          Vereshchagin, or use Mora’s formula
                 M  1M 1dx         M  2M  2dx           M  n M  ndx
                                                     
                               
           11 
                        ;  22           ; ...;  nn          .
                l  EJ z          l   EJ  z             l   EJ  z
          To determine the adverse factors of canonical equations   ,  ,
                                                                   12  23
          ...,        we    need   diagrams     M  1 ,   M  2 ,   ...,   M  i
                 kn
          multiply  to  the  corresponding  diagrams  M ,  M ,  ...,
                                                            2
                                                                   3
          M  k according to Vereshchagin’s method, or

                    M  1M  2dx        M  2M  3dx           M  i M dx
                                                                 k
              12 
                            ;  23           ; ...;            .
                                                      ik 
                                   
                   l   EJ  z         l   EJ  z            l   EJ  z
          Recall the theorem of reciprocity of movement
                                         .
                                      kn   nk
          To determine the free terms of canonical equations   ,   , ...,
                                                              1p    2 p
            we need freight diagram  M  multiplies to the corresponding
            np                            p
          unit diagram  M ,  M , ...,  M , or
                               2
                                       n
                          1

                    M M   1dx          M M   2dx             M M   ndx
                                   
              1p 
                     p      ;   2 p   p      ; ...;      p      .
                                                       np 
                   l   EJ z           l   EJ z             l   EJ z


          3.3    Checking  coefficients  and  free  terms  of  the
          canonical equations

          For checking the rightness of determination coefficients and free
          terms of canonical equations it is necessary to build a total unit
          diagram, adding all unit diagrams, taking into account their signs.

                          M    M 1 M  2    M  n .              (3.3)


                                         36
   31   32   33   34   35   36   37   38   39   40   41