Winkler Coefficient for Beams on Elastic Foundation

Using the elastic continuum approach for the analysis ofbeam on elastic
foundation, a method is developed to calculate an equivalent coefficient of
subgrade reaction k to use in the Winkler model. It is shown that dividing
the contact pressure produced from elastic continuum model by the
corresponding settlement along the beam length generates length dependent
coefficient of subgrade reaction that accurately describes the interaction
between the beam and the supporting soils. Results from the developed
I equivalent k parameter are compared with those from elastic continuum
model and by using different k values predicted by other methods that are
currently in use. For uniformly loaded beam, graphs and regression equations
are provided from which an equivalent k value at different positions along
the beam length (eg, at the center and the edge of the beam) can be
calculated as a function of the elastic soil properties and the rigidity of the
beam