Analysis of beam-column elements on non-homogeneous soil using the differential transformation method
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....
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| Format: | Article |
| Language: | English |
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Universidad de Antioquia
2021-02-01
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| Series: | Revista Facultad de Ingeniería Universidad de Antioquia |
| Subjects: | |
| Online Access: | https://revistas.udea.edu.co/index.php/ingenieria/article/view/343176 |
| _version_ | 1797861832742928384 |
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| author | Juan Sebastián Carvajal-Muñoz Carlos Alberto Vega-Posada Julio César Saldarriaga-Molina |
| author_facet | Juan Sebastián Carvajal-Muñoz Carlos Alberto Vega-Posada Julio César Saldarriaga-Molina |
| author_sort | Juan Sebastián Carvajal-Muñoz |
| collection | DOAJ |
| description |
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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| first_indexed | 2024-04-09T22:10:44Z |
| format | Article |
| id | doaj.art-8b1b067948624dfa87b6604a09f291d9 |
| institution | Directory Open Access Journal |
| issn | 0120-6230 2422-2844 |
| language | English |
| last_indexed | 2024-04-09T22:10:44Z |
| publishDate | 2021-02-01 |
| publisher | Universidad de Antioquia |
| record_format | Article |
| series | Revista Facultad de Ingeniería Universidad de Antioquia |
| spelling | doaj.art-8b1b067948624dfa87b6604a09f291d92023-03-23T12:27:45ZengUniversidad de AntioquiaRevista Facultad de Ingeniería Universidad de Antioquia0120-62302422-28442021-02-0110310.17533/udea.redin.20210218Analysis of beam-column elements on non-homogeneous soil using the differential transformation methodJuan Sebastián Carvajal-Muñoz0Carlos Alberto Vega-Posada1Julio César Saldarriaga-Molina2University of AntioquiaUniversity of AntioquiaUniversity of Antioquia 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. https://revistas.udea.edu.co/index.php/ingenieria/article/view/343176Beam-column elementmathematical analysisnon-homogeneous soilsoil mechanics |
| spellingShingle | Juan Sebastián Carvajal-Muñoz Carlos Alberto Vega-Posada Julio César Saldarriaga-Molina Analysis of beam-column elements on non-homogeneous soil using the differential transformation method Revista Facultad de Ingeniería Universidad de Antioquia Beam-column element mathematical analysis non-homogeneous soil soil mechanics |
| title | 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_short | 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 |
| topic | Beam-column element mathematical analysis non-homogeneous soil soil mechanics |
| url | https://revistas.udea.edu.co/index.php/ingenieria/article/view/343176 |
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