SciELO - Scientific Electronic Library Online

 
vol.9 issue1Two efficient hybrid-trefftz elements for plate bending analysisA stress-displacement solution for a pressure tunnel with impermeable liner in elastic porous media author indexsubject indexarticles search
Home Pagealphabetic serial listing  

Services on Demand

Journal

Article

Indicators

Related links

Share


Latin American Journal of Solids and Structures

On-line version ISSN 1679-7825

Abstract

MONT'ALVERNE, A.M.; DEUS, E.P.; OLIVEIRA JUNIOR, S.C.  and  MOURA, A.S.. Determination of the reinforced concrete slabs ultimate load using finite element method and mathematical programming. Lat. Am. j. solids struct. [online]. 2012, vol.9, n.1, pp.69-93. ISSN 1679-7825.  http://dx.doi.org/10.1590/S1679-78252012000100004.

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 [20] 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.

Keywords : optimization; Finite Element Method; plates theory; reinforced concrete.

        · text in English     · English ( pdf epdf )

 

Creative Commons License All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License