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BEAM FORMULAS                    43

                                                    W = (n + 1)P
                                            nP              P
                                                      yL
                           W = P                       –
                                                       xL
                         –                       –  n
                        X = 0                    x =   y
                                                   1 + n
                       G 2  = 0                  2    n   2
                        S 3  = 0               G  =  (1 + n) 2  y
                                                 3
                                                S  =  n(n – 1) 3  y 3
                                                    (1 + n)
                        Case 1                    Case 2






                            W = wyL
                             yL                      wyL  –
                              –
                              xL                  W =  2  xL
                   w                                            w
                                                      yL
                         –  1
                         x =  y
                            2                      – x =  1  y
                         2
                       G  =  1  y 2                   3 1
                                                   2
                           12                     G  =  y 2
                         3
                        S  = 0                        18  1  3
                                                   3
                                                  S  = –   y
                                                        135
                        Case 3                      Case 4
                   FIGURE 2.8 Characteristics of loadings.
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