Special Note on Slope-Deflection and Fixed End MomentsIt is important to realize that the Slope-Deflection equations implicitlycontain the relative linear displacement term, ∆. The fixed end moment forthe near end (N = near end F = far end) of a beam segment subjected to arelative displacement, ∆is given in the back of the book as,FEMEILN=−62∆(1)The Slope-Deflection equation for the near end of a beam segment given as,MLLFEMNNFN=+−+223θθ∆Rewriting,MLLFEMFN=+−+62∆Note that the relative displacement term, ∆, within the Slope-Deflection
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Moment distribution method, Hardy Cross, Relative Displacement, relative linear displacement