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Computers and Concrete
  Volume 6, Number 6, December 2009 , pages 505-521
DOI: https://doi.org/10.12989/cac.2009.6.6.505
 


Closed form ultimate strength of multi-rectangle reinforced concrete sections under axial load and biaxial bending
V. Dias da Silva, M. H. F. M. Barros, E. N. B. S. Julio and C. C. Ferreira

 
Abstract
    The analysis of prismatic members made of reinforced concrete under inclined bending, especially the computation of ultimate loads, is a pronounced non-linear problem which is frequently solved by discretizing the stress distribution in the cross-section using interpolation functions. In the approach described in the present contribution the exact analytical stress distribution is used instead. The obtained expressions are integrated by means of a symbolic manipulation package and automatically converted to optimized Fortran code. The direct problem-computation of ultimate internal forces given the position of the neutral axis-is first described. Subsequently, two kinds of inverse problem are treated: the computation of rupture envelops and the dimensioning of reinforcement, given design internal forces. An iterative Newton-Raphson procedure is used. Examples are presented.
 
Key Words
    reinforced concrete sections; ultimate limit state; prismatic members; inclined bending; formulation; design.
 
Address
V. Dias da Silva: Department of Civil Engineering, University of Coimbra, Polo II-Pinhal de Marrocos, 3030-290 Coimbra,, Portugal
M. H. F. M. Barros: Department of Civil Engineering, University of Coimbra, Polo II-Pinhal de Marrocos, 3030-290 Coimbra,, Portugal
E. N. B. S. Julio: Department of Civil Engineering, University of Coimbra, Polo II-Pinhal de Marrocos, 3030-290 Coimbra,, Portugal
C. C. Ferreira: Department of Civil Engineering, University of Coimbra, Polo II-Pinhal de Marrocos, 3030-290 Coimbra,, Portugal
 

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