This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
A Finite Element Program for Elastic Straight and Curved Beams
Technical Paper
2006-01-2642
ISSN: 0148-7191, e-ISSN: 2688-3627
Annotation ability available
Sector:
Language:
English
Abstract
The amount of structural problems that can be solved by the use of classical analytic concepts of Mechanical Engineering is limited, in most cases, to simple uniaxial structures. Any additional aspect, as excessive number of constrains or arc shaped structures, can increase the difficult to obtain the solution or even prevent at all. A numerical approach, as utilization of FEM (Finite Element Method), can make possible the solution of these structures. A finite element program for elastic straight and curved beams is developed to provide an alternative way to solve planar uniaxial structures problems. Statical Variational Formulation approach is used to build a FEM model. Routines are implemented using VB (Visual Basic), needed to make extensive calculations and to present the results in a professional way. A couple of examples are solved to make a quantitative comparison with analytic solutions.
Topic
Citation
Kenedi, P., Borges, L., and Vaz, M., "A Finite Element Program for Elastic Straight and Curved Beams," SAE Technical Paper 2006-01-2642, 2006, https://doi.org/10.4271/2006-01-2642.Also In
References
- Kenedi, P.P. Borges., L.M.S.A. Vaz, M.A. 2006 “Implementation of Statical Variational Formulations to an Elastic Curved Beam Element” CONEM 2006 - IV Congresso Nacional de Engenharia Mecânica Recife
- Kenedi, P.P 2005 “ Princípios Variacionais para Vigas Elásticas ” Doctoral Qualifying Exam COPPE/UFRJ
- Kenedi, P.P 2005 “ Princípios Variacionais para Vigas Elasto-plásticas ” Doctoral Qualifying Exam COPPE/UFRJ
- Pereira, N.Z. Borges, L.A. Hecke, M.B. 1988 “ A Force Method for Elastic-Plastic Analysis of Frames by Quadratic Optimization ” Int. J. Solids Structures 24 2 211 230
- Feijóo, R.A. Zouain, N. 1988 ” Formulations in Rates and Increments for Elastic-Plastic Analysis ” International Journal for Numerical Methods in Engineering 26 2031 2048
- Segerlind, L.J. 1984 “ Applied Finite Element Analysis ” 2 nd John Wiley & Sons Inc.
- Zienkiewicz, O.C. Taylor, R.L. 1989 “ The Finite Element Method - Basic Formulation and Linear Problems ” V1 4 th McGraw-Hill International
- Bathe, K.J. 1996 ” Finite Element Procedures ” Prentice-Hall, Inc.
- Benham, P.P. Crawford, R.J. Armstrong, C.G. 1996 “ Mechanics of Engineering Materials ” 2 nd Longman Group Limited
- Crandall, S.H. Dahl, N.C. Lardner, T. J. 1978 “ An Introduction to the Mechanics of Solids ” 2 nd McGraw-Hill International Editions
- Boresi, A.P. Sidebottom, O.M. 1985 “ Advanced Mechanics of Materials ” 4 th John Wiley and Sons