Research Article
May 1982
Beam Idealization
Publication: Journal of the Structural Division
Volume 108, Issue 5
Abstract
For any given bemm with varying cross-section and material properties, it is easy to evaluate a number of parameters Qi and Di, by numerical integration, accounting for all generalized forces and displacements. Those parameters can be used directly to set up the flexibility and stiffness matrices and also to determine the fixed-end reactions due to any loading. This method provides great accuracy in short computing time and seems to be much simpler than those in use today. Another method to set up the flexibility and stiffness matrices consists in determining an equivalent idealized beam. For any asymmetric beam, it is possible to determine an idealized beam of three inertias, with the same length and constant elastic properties, that is equivalent to the real beam for the purpose of structural analysis and is defined in terms of the parameters Qi by a simple method (extended to symmetric beams). A program has been developed and tested on an example problem. It makes any standard program capable of analysing structures including members with varying cross-section and material properties.
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Published In
Journal of the Structural Division
Volume 108 • Issue 5 • May 1982
Pages: 1154 - 1173
Copyright
© 1982 American Society of Civil Engineers.
History
Published in print: May 1982
Published online: Feb 1, 2021
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Authors
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Joachim S. Rodrigues
Prof. of Civ. Engrg., Univ. of Angola, Luanda, People‘s Republic of Angola, Africa
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.