An Improved Formulation and Analysis of Reddy Beam Model for Framed Structures

MARCOS RODRIGUES; LUIZ FERNANDO MARTHA; J. N. Reddy; Eugenio Ruocco

doi:10.1590/1679-78258103

An Improved Formulation and Analysis of Reddy Beam Model for Framed Structures

Authors

M. A. C. Rodrigues Federal University of Espírito Santo, Department of Civil Engineering, Vitoria, Brazil https://orcid.org/0000-0003-2084-5820
L. F. Martha Pontifical Catholic University of Rio de Janeiro, Department of Civil Engineering, Rio de Janeiro, Brazil https://orcid.org/0000-0002-5783-5151
J. N. Reddy Texas A&M University, College Station, J. Mike Walker ’66 Department of Mechanical Engineering, Texas, USA. https://orcid.org/0000-0002-9739-1639
E. Ruocco University of Campania “L. Vanvitelli”, Department of Engineering, Aversa, Caserta, Italy https://orcid.org/0000-0003-2433-6230

DOI:

https://doi.org/10.1590/1679-78258103

Abstract

A structural analysis of framed structures using the finite element method considering both the Bernoulli- Euler and the Timoshenko beam theories can be performed adopting cubic interpolation functions that yield analytical solutions for the displacements. However, these theories may not provide stress results with sufficient accuracy. In such cases, it is necessary to employ higher order beam formulations, that may require a high level of discretization. Therefore, this study proposes an enhanced Reddy beam element, obtained by considering interpolation functions calculated directly from the solution of the differential equation system. This solution minimizes the impact of structural discretization on the analysis, and framed structures can be effectively modeled considering the minimum number of elements required to describe the geometry. The results obtained by the proposed formulation were compared against classical beam theories and the Reddy beam model adopting conventional shape functions, showing the efficacy of the proposed element in simulating the elastic behavior of framed structures in a FEM-like procedure.

Downloads

Published

2024-05-07

Issue

Vol. 21 No. 5 (2024)

Section

Articles

License

Authors who publish with this journal agree to the following terms:

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).