Analysis of beam-column elements on non-homogeneous soil using the differential transformation method

Authors

DOI:

https://doi.org/10.17533/udea.redin.20210218

Keywords:

Beam-column element, mathematical analysis, non-homogeneous soil, soil mechanics

Abstract


This paper describes an analytical approach to conduct an analysis of beam-column elements with generalized end-boundary conditions on a homogeneous or non-homogeneous Pasternak elastic foundation. The mathematical formulation utilized herein is that presented by the senior author in a recent work. The differential equation (DE) governing the behavior of the beam-column element is solved using the differential transformation method (DTM). The DTM offers practical advantages over other conventional approaches when solving the proposed structural model. The proposed formulation provides the flexibility to account for i) combined lateral and axial load at the ends of the element, ii) homogeneous or non-homogeneous soil, iii) Pasternak elastic foundation, and iv) an external arbitrary transverse load acting on the element. The effects of various slenderness ratios, pile-soil stiffness ratios, and classical and semirigid boundary conditions can be easily studied with the proposed formulation. Examples are presented to validate the accuracy of the model and its applicability over a wide range of analyses.

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Author Biographies

Juan Sebastián Carvajal-Muñoz, Universidad de Antioquia

Undergraduate student, Universidad de Antioquia

Carlos Alberto Vega-Posada, Universidad de Antioquia

Associate Professor, School of Engineering, Universidad de Antioquia

Julio César Saldarriaga-Molina, Universidad de Antioquia

Associate Professor, School of Engineering, Universidad de Antioquia

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Published

2021-11-19 — Updated on 2021-02-16

How to Cite

Carvajal-Muñoz, J. S., Vega-Posada, C. A., & Saldarriaga-Molina, J. C. (2021). Analysis of beam-column elements on non-homogeneous soil using the differential transformation method. Revista Facultad De Ingeniería Universidad De Antioquia, (103), 67–76. https://doi.org/10.17533/udea.redin.20210218