Page 61 - Civil Engineering Formulas
P. 61

CASE 8.  Beam Fixed at One End (Cantilever)—Concentrated Load at Any Point
              At free end:
                 At fixed end:  3  a  3a  WL 3  +  2 –   (max) =  D  L  L  6EI  M (max) = Wb  At point of load:  W  a) 3  –  (L  =  D x: when x > a  At  3EI  x: when x > a  At  (x = a)  M = W  W –3aL 2  + 2L 3  + x 3  =  D  6EI –3ax 2  – 3L 2 x + 6aLx  L  W  b  a  D  R 1  M  x  V









                 R 1  = V (max) = W  x: when x > a  V = W  x: when x < a  V = 0  (Continued)








                    At    At                               FIGURE 2.2






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