Effect of soil coefficients and Poisson’s ratio on the behavior of modified Euler-Bernoulli beam lying on Winkler foundation

Year 2017, Volume: 3 Issue: 2, 50 - 53, 15.12.2017

B. Gültekin Sınır

Abstract

Beside
the geometric acceptations on deriving the mathematical model of the structural
elements the material specifications can affect their different fundamental
responses. Respectively, in this study standard Euler-Bernoulli beam theory is
adjusted and modified to comprise the effect of Poisson’s ratio on the
mechanical model of the beam. The interaction between beams and the soil medium
below the beams alter the actual behavior of the beams. In this study, the
equation of motion of the beam lying on Winkler foundation is derived via
adopting the extended Hamilton principle. This new formulation is used to
investigate the soil-structure interaction features of the modified beam with
uniform cross sectional area. Three different soil types is considered. The
non-dimensional mathematical model of the proposed beam is also obtained.
Finally, the effect of the Poisson’s ratio and foundation spring coefficient on
the behavior of the proposed beam is discussed and demonstrated through given
diagrams.

Keywords

Euler-Bernoulli beam

References

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