Page 70 - Civil Engineering Formulas
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(3L + 2a)  12EI
           CASE 12.  Beam Overhanging Both Supports, Symmetrically Placed—Two Equal Concentrated Loads at Ends


                  Wa 2  D =  WaL 2  D =  16EI
                At free ends:  At center:










                                                    V
                                  W  2   a
                  Wa  2   (a – x)       R 1
                x 1 : when x 1  < L  M (max) =  x: when x < a  W  M =  2  W  2  R  L  a  x 1  x





                At     At           D    D    M     V







                  W  2   W  2
                   R = R 1  = V (max) =  x: when x < a  V =  (Continued)







                                                          FIGURE 2.2
                        At






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