Simplified Finite Element Assessment of Beams With and Without Shear Deformation

López Salinas, Elvira Mercedes and Romero Martín, José Luis and Ortega Sánchez, Miguel Angel and Río Suárez, Olga (2013). Simplified Finite Element Assessment of Beams With and Without Shear Deformation. In: "Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", 03/09/2013 - 06/09/2013, Cagliari, Sardinia (Italy). pp.. https://doi.org/10.4203/ccp.102.209.

Description

Title: Simplified Finite Element Assessment of Beams With and Without Shear Deformation
Author/s:
  • López Salinas, Elvira Mercedes
  • Romero Martín, José Luis
  • Ortega Sánchez, Miguel Angel
  • Río Suárez, Olga
Item Type: Presentation at Congress or Conference (Article)
Event Title: Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing
Event Dates: 03/09/2013 - 06/09/2013
Event Location: Cagliari, Sardinia (Italy)
Title of Book: Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing, 3-6 September 2013, Cagliari, Sardinia, Italy
Título de Revista/Publicación: Civil-comp proceedings (CCP)
Date: 2013
ISSN: 1759-3433
Subjects:
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Matemática e Informática Aplicadas a la Ingeniería Civil [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

This paper presents a simplified finite element (FE) methodology for solving accurately beam models with (Timoshenko) and without (Bernoulli-Euler) shear deformation. Special emphasis is made on showing how it is possible to obtain the exact solution on the nodes and a good accuracy inside the element. The proposed simplifying concept, denominated as the equivalent distributed load (EDL) of any order, is based on the use of Legendre orthogonal polynomials to approximate the original or acting load for computing the results between the nodes. The 1-span beam examples show that this is a promising procedure that allows the aim of using either one FE and an EDL of slightly higher order or by using an slightly larger number of FEs leaving the EDL in the lowest possible order assumed by definition to be equal to 4 independently of how irregular the beam is loaded.

More information

Item ID: 29655
DC Identifier: http://oa.upm.es/29655/
OAI Identifier: oai:oa.upm.es:29655
DOI: 10.4203/ccp.102.209
Official URL: http://www.civil-comp.com/conf/cc13.htm
Deposited by: Memoria Investigacion
Deposited on: 23 Jun 2014 11:04
Last Modified: 22 Sep 2014 11:46
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