Page 57 - Civil Engineering Formulas
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CASE 6.  Beam Fixed Both Ends—Concentrated Load at Any Point
              R:  ab 2 max neg. mom.  aL  2  = – W  b  >  a  and x: when x =  At  b > a  when  L 2  b  +  3a  R 1:  Wa 3 b 2  2  a 2 b max neg. mom.  (max) =  D  = – W  b) 2  +  (3a  EI  3  a > b  when  L 2  x < a  when  ab 2  Wb 2 x 2  Ra – W  M 1 = (max) = Ra +  bx)  –  – 3ax  (3aL  =
              At support  M 1  At support  M 2  At point of load:  M  M  x:  At  R  M 1








                         a < b  a > b
               b 2 (3a + b)  L 3  a 2 (3b + a)  L 3  when  when  R 1  =  V = R  (Continued)




                R = W  R 1  = W  V (max) = R  x: when x < a   FIGURE 2.2

                              At






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