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/
id UDEA2_29404ec908235e70190611755c682492
oai_identifier_str oai:bibliotecadigital.udea.edu.co:10495/32771
network_acronym_str UDEA2
network_name_str Repositorio UdeA
repository_id_str
dc.title.spa.fl_str_mv Analysis of beam-column elements on non-homogeneous soil using the differential transformation method
dc.title.alternative.spa.fl_str_mv Análisis de elementos viga-columna en suelos no-homogéneos usando el método de la transformada diferencial
title Analysis of beam-column elements on non-homogeneous soil using the differential transformation method
spellingShingle Analysis of beam-column elements on non-homogeneous soil using the differential transformation method
Análisis matemático
Mathematical analysis
Suelos
Soils
Mecánica de suelos
Soil mechanics
Suelo no homogéneo
title_short Analysis of beam-column elements on non-homogeneous soil using the differential transformation method
title_full Analysis of beam-column elements on non-homogeneous soil using the differential transformation method
title_fullStr Analysis of beam-column elements on non-homogeneous soil using the differential transformation method
title_full_unstemmed Analysis of beam-column elements on non-homogeneous soil using the differential transformation method
title_sort Analysis of beam-column elements on non-homogeneous soil using the differential transformation method
dc.creator.fl_str_mv Carvajal Muñoz, Juan Sebastián
Vega Posada, Carlos Alberto
Saldarriaga Molina, Julio César
dc.contributor.author.none.fl_str_mv Carvajal Muñoz, Juan Sebastián
Vega Posada, Carlos Alberto
Saldarriaga Molina, Julio César
dc.subject.lemb.none.fl_str_mv Análisis matemático
Mathematical analysis
Suelos
Soils
Mecánica de suelos
Soil mechanics
topic Análisis matemático
Mathematical analysis
Suelos
Soils
Mecánica de suelos
Soil mechanics
Suelo no homogéneo
dc.subject.proposal.spa.fl_str_mv Suelo no homogéneo
description 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.
publishDate 2022
dc.date.accessioned.none.fl_str_mv 2022-12-13T16:11:38Z
dc.date.available.none.fl_str_mv 2022-12-13T16:11:38Z
dc.date.issued.none.fl_str_mv 2022
dc.type.spa.fl_str_mv info:eu-repo/semantics/article
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
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dc.type.local.spa.fl_str_mv Artículo de investigación
format http://purl.org/coar/resource_type/c_2df8fbb1
status_str publishedVersion
dc.identifier.citation.spa.fl_str_mv J. S. Carvajal-Muñoz, C. A. Vega-Posada, and J. C. Saldarriaga-Molina, “Analysis of beam-column elements on non-homogeneous soil using the differential transformation method”, Rev.Fac.Ing.Univ.Antioquia, no. 103, pp. 67–76, Feb. 2022.
dc.identifier.issn.none.fl_str_mv 0120-6230
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10495/32771
dc.identifier.doi.none.fl_str_mv 10.17533/udea.redin.20210218
dc.identifier.eissn.none.fl_str_mv 2422-2844
dc.identifier.url.spa.fl_str_mv https://revistas.udea.edu.co/index.php/ingenieria/article/view/343176
identifier_str_mv J. S. Carvajal-Muñoz, C. A. Vega-Posada, and J. C. Saldarriaga-Molina, “Analysis of beam-column elements on non-homogeneous soil using the differential transformation method”, Rev.Fac.Ing.Univ.Antioquia, no. 103, pp. 67–76, Feb. 2022.
0120-6230
10.17533/udea.redin.20210218
2422-2844
url https://hdl.handle.net/10495/32771
https://revistas.udea.edu.co/index.php/ingenieria/article/view/343176
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartofjournalabbrev.spa.fl_str_mv Rev. Fac. Ing. Univ. Antioquia
dc.rights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.uri.*.fl_str_mv http://creativecommons.org/licenses/by-nc-sa/2.5/co/
dc.rights.accessrights.spa.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.creativecommons.spa.fl_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/2.5/co/
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dc.format.extent.spa.fl_str_mv 10
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad de Antioquia, Facultad de Ingeniería
dc.publisher.group.spa.fl_str_mv Grupo de Investigación en Infraestructura (GII)
dc.publisher.place.spa.fl_str_mv Medellín, Colombia
institution Universidad de Antioquia
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spelling Carvajal Muñoz, Juan SebastiánVega Posada, Carlos AlbertoSaldarriaga Molina, Julio César2022-12-13T16:11:38Z2022-12-13T16:11:38Z2022J. S. Carvajal-Muñoz, C. A. Vega-Posada, and J. C. Saldarriaga-Molina, “Analysis of beam-column elements on non-homogeneous soil using the differential transformation method”, Rev.Fac.Ing.Univ.Antioquia, no. 103, pp. 67–76, Feb. 2022.0120-6230https://hdl.handle.net/10495/3277110.17533/udea.redin.202102182422-2844https://revistas.udea.edu.co/index.php/ingenieria/article/view/343176ABSTRACT : 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.RESUMEN : Este artículo describe un método analítico para el análisis de elementos viga-columna con condiciones de borde generalizadas apoyadas en una fundación elástica Pasternak homogénea o no-homogénea. La formulación matemática utilizada en este documento es una presentada recientemente por el autor principal. La ecuación diferencial (ED) que gobierna el comportamiento del elemento viga-columna se resuelve utilizando el método de transformación diferencial (DTM). Para el modelo estructural propuesto, el DTM ofrece ventajas prácticas sobre otros métodos. La formulación propuesta proporciona la flexibilidad de tener en cuenta i) carga lateral y axial combinada en los extremos del elemento, ii) suelo homogéneo o no-homogéneo, iii) fundación elástica Pasternak, y iv) una carga transversal arbitraria externa que actúa a lo largo del elemento. Los efectos de varias relaciones de esbeltez, relaciones de rigidez y condiciones de borde clásicas e intermedias se pueden estudiar fácilmente con la formulación propuesta. Se presentan ejemplos para validar la precisión del modelo y su aplicabilidad en una amplia gama de análisis.COL015536710application/pdfengUniversidad de Antioquia, Facultad de IngenieríaGrupo de Investigación en Infraestructura (GII)Medellín, Colombiainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by-nc-sa/4.0/Analysis of beam-column elements on non-homogeneous soil using the differential transformation methodAnálisis de elementos viga-columna en suelos no-homogéneos usando el método de la transformada diferencialAnálisis matemáticoMathematical analysisSuelosSoilsMecánica de suelosSoil mechanicsSuelo no homogéneoRev. Fac. Ing. Univ. AntioquiaRevista Facultad de Ingeniería Universidad de Antioquia6776103CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81051https://bibliotecadigital.udea.edu.co/bitstream/10495/32771/2/license_rdfe2060682c9c70d4d30c83c51448f4eedMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstream/10495/32771/3/license.txt8a4605be74aa9ea9d79846c1fba20a33MD53ORIGINALCarvajalJuan_2022_Analysisbeam-columnelements.pdfCarvajalJuan_2022_Analysisbeam-columnelements.pdfArtículo de investigaciónapplication/pdf336804https://bibliotecadigital.udea.edu.co/bitstream/10495/32771/1/CarvajalJuan_2022_Analysisbeam-columnelements.pdff55e012d62ebcff5aba1e462be403d23MD5110495/32771oai:bibliotecadigital.udea.edu.co:10495/327712022-12-13 11:11:38.83Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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