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Frames with inclined legs using slope-deflection method

  1. Mar 4, 2015 #1
    1. The problem statement, all variables and given/known data
    This is a diagram from "Structural Analysis" by Aslam Kassimalli while solving frames using slope-deflection method. In the figure, the tangent to the deflected shape at C` is parallel to the original member AC implying that the slope at C is zero. However, later they have considered θC (the slope at C) as an unknown while writing the slope deflection equations. Why so?

    2. Relevant equations


    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Mar 8, 2015 #2
    I don't think you can assume that the tangent at C' (the prime symbol ' is not clear enough in the figure) is parallel to AC. The tangent at D' is not visibly parallel to BD, and shouldn't be. In general, I would expect both C and D to rotate somewhat, because the rotation is only partially restrained by the stiffness of the attached members.
     
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