Deflection at any point in fixed beam

  1. give formula or reference for finding deflection at any point in beam (fixed at both ends) due to couple acting intermediate in the beam? its urgent........
     
  2. jcsd
  3. stewartcs

    stewartcs 2,279
    Science Advisor

    I'd start with Roark's Formulas for Stress and Strain.

    CS
     
  4. I think the easiest thing is to define the loading using singularity functions, set it equal to EIy'''' (where E = elastic mod, I = moment of inertia, y'''' = fourth derivative of deflection); then successively integrate to get the shear force, moment, and finally the deflection as a function of x (the position along the beam). and determining the integration constants from the boundary conditions (such as at x = 0 and x = l, y = 0).

    example of the singularity functions
    http://www.roymech.co.uk/Useful_Tables/Beams/Singularity.html

    (this is assuming small deflections by the way)
     
    Last edited: Jan 8, 2009
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