Page 80 - Civil Engineering Formulas
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= 0.1283Wl  Wl 2  EI  (3x 4  – 10l 2 x 2  + 7l 4 )


                  Wx 2  l 2  (l 2  – x 2 )
                   –     3         Wx  180EIl 2
          W  3  2W  3  W  3  2Wl  9  Wx  3l 2  =  0.01304
           =   =   =   =    =       =
                                = 0.5193l



                       = 0.5774l  8  1 –  15 Elastic-curve equations for prismatic beams. (m) Simple beam—load increasing uniformly to one end.



                      W    3           (m)
                       x =      x = l
               V 2max  at       at
           V 1
           =   =                Δ max
           R 1  R 2  V x  M max  M x  Δ x
                          V 2
                R 2


             W
           l                         Moment
                     0.5774l  Shear
             x

                R 1             M max      FIGURE 2.3  (Continued)
                        V 1







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