DETERMINATION OF THE REINFORCED CONCRETE SLABS ULTIMATE LOAD USING FINITE ELEMENT METHOD AND MATHEMATICAL PROGRAMMING

Authors

  • ALEXANDRE MIRANDA MONT'ALVERNE UNIVERSIDADE FEDERAL DO CEARá

Keywords:

OPTIMIZATION, FINITE ELEMENT METHOD, PLATES THEORY, REINFORCED CONCRETE

Abstract

IN THE PRESENT PAPER, THE ULTIMATE LOAD OF THE REINFORCED CONCRETE SLABS [16] IS DETERMINED USING THE FINITE ELEMENT METHOD AND MATHEMATICAL PROGRAMMING. THE ACTING EFFORTS AND DISPLACEMENTS IN THE SLAB ARE OBTAINED BY A PERFECT ELASTO-PLASTIC ANALYSIS DEVELOPED BY FINITE ELEMENT METHOD. IN THE PERFECT ELASTO-PLASTIC ANALYSIS THE NEWTON-RAPHSON METHOD [21] IS USED TO SOLVE THE EQUILIBRIUM EQUATIONS AT THE GLOBAL LEVEL OF THE STRUCTURE. THE RELATIONS OF THE PLASTICITY THEORY [18] ARE RESOLVED AT LOCAL LEVEL. THE RETURN MAPPING PROBLEM IN THE PERFECT ELASTO-PLASTIC ANALYSIS IS FORMULATED AS A PROBLEM OF MATHEMATICAL PROGRAMMING [12]. THE FEASIBLE ARCH INTERIOR POINTS ALGORITHM PROPOSED BY HERSKOVITS [8] IS USED AS A RETURN MAPPING ALGORITHM IN THE PERFECT ELASTO-PLASTIC ANALYSIS. THE PROPOSED ALGORITHM USES NEWTON'S METHOD FOR SOLVING NONLINEAR EQUATIONS OBTAINED FROM THE KARUSH-KUHN-TUCKER CONDITIONS [11] OF THE MATHEMATICAL PROGRAMMING PROBLEM. AT THE END OF THIS PAPER, IT IS ANALYZED SIX REINFORCED CONCRETE SLABS AND THE RESULTS ARE COMPARED WITH AVAILABLE ONES IN LITERATURE.

Downloads

Published

2012-03-01

Issue

Vol. 9 No. 1 (2012)

Section

Articles

License

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

 

  1. 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.
  2. 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.
  3. 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).