An Analysis Of Beams On Nonhomogeneous Elastic Foundation Using Initial Value Approach

ABSTRACT

The paper presents an analysis of beams on non-homogeneous elastic foundation, where

the deformation is partly localized and partly continuous. The soil was modeled to be in layers,

in which two layers within the soil strata were considered. The different layers of the soil have

their respective sub-grade modulus k, and the entire foundation is resting on a rigid base. The

formulation was achieved by imbedding a beam of known bending rigidity within the layers of

the foundation. The deflection in the upper and lower section of the beam due to the pressure

resulting from the applied load was correlated using flexural theory of prismatic beams. The

solution of the eight order differential equation was solved using initial value approach. Based on

the present formulations, numerical cases were examined. The result of the comparative analysis

revealed that the supporting medium cannot be said to be homogeneous in nature. The effect of

the soil modulus of the underlying soil strata has to be taken into account in the analysis of

beams on elastic foundation. The higher stresses generated was due to continuity in the

supporting medium, there providing engineers with a safe design.

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