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.
BLESSING, M (2021). An Analysis Of Beams On Nonhomogeneous Elastic Foundation Using Initial Value Approach. Afribary. Retrieved from https://afribary.com/works/an-analysis-of-beams-on-nonhomogeneous-elastic-foundation-using-initial-value-approach
BLESSING, MOKWUGWO "An Analysis Of Beams On Nonhomogeneous Elastic Foundation Using Initial Value Approach" Afribary. Afribary, 15 May. 2021, https://afribary.com/works/an-analysis-of-beams-on-nonhomogeneous-elastic-foundation-using-initial-value-approach. Accessed 28 Mar. 2023.
BLESSING, MOKWUGWO . "An Analysis Of Beams On Nonhomogeneous Elastic Foundation Using Initial Value Approach". Afribary, Afribary, 15 May. 2021. Web. 28 Mar. 2023. < https://afribary.com/works/an-analysis-of-beams-on-nonhomogeneous-elastic-foundation-using-initial-value-approach >.
BLESSING, MOKWUGWO . "An Analysis Of Beams On Nonhomogeneous Elastic Foundation Using Initial Value Approach" Afribary (2021). Accessed March 28, 2023. https://afribary.com/works/an-analysis-of-beams-on-nonhomogeneous-elastic-foundation-using-initial-value-approach