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Computers and Concrete
  Volume 2, Number 1, February 2005, pages 55-77
DOI: http://dx.doi.org/10.12989/cac.2005.2.1.055
 


Closed form interaction surfaces for nonlinear design codes of RC columns with MC 90
M. H. F. M. Barros,C. C. Ferreira and A. F. M. Barros

 
Abstract
    The closed form solution of the equilibrium equations in the ultimate design of reinforced concrete sections under biaxial bending is presented. The stresses in the materials are described by the Model Code 1990 equations. Computation of the integral equations is performed generally in terms of all variables. The deformed shape of the section in the ultimate conditions is defined by Heaviside functions. The procedure is convenient for the use of mathematical manipulation programs and the results are easily included into nonlinear analysis codes. The equations developed for rectangular sections can be applied for other sections, such as T, L, I for instance, by decomposition into rectangles. Numerical examples of the developed model for rectangular sections and composed sections are included.
 
Key Words
    biaxial bending; closed form; nonlinear design code; heaviside functions; reinforced concrete; model code 1990.
 
Address
M. H. F. M. Barros and C. C. Ferreira; Civil Engineering Department, F. C. T., University of Coimbra, Polo II, 3030 Coimbra, PortugalrnA. F. M. Barros; IDMEC/IST, Mechanical Engineering Department, I. S. T., Lisbon, Portugal
 

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