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

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 re...

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Autores:
Carvajal Muñoz, Juan Sebastián
Vega Posada, Carlos Alberto
Saldarriaga Molina, Julio César
Tipo de recurso:
Article of investigation
Fecha de publicación:
2022
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/32771
Acceso en línea:
https://hdl.handle.net/10495/32771
https://revistas.udea.edu.co/index.php/ingenieria/article/view/343176
Palabra clave:
Análisis matemático
Mathematical analysis
Suelos
Soils
Mecánica de suelos
Soil mechanics
Suelo no homogéneo
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/2.5/co/
Description
Summary: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.