Page 79 - Civil Engineering Formulas
P. 79

Wx 2
                   –
              2W
          W
                  W
                3
            3
               =
           =
                   =
                      W l 2  3  2Wl  = 0.1283Wl = 0.5774l  =    3  3  9  Wx  (l 2  – x 2 )  =  3l 2  Wl 2  8  =  0.01304  = 0.5193l  1 –  EI  15  Wx (3x 4  – 10l 2 x 2  + 7l 4 )  =  180EIl 2  (m) Elastic-curve equations for prismatic beams. (m) Simple beam—load increasing uniformly to on
                       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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