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Computers and Concrete Volume 10, Number 5, November 2012 , pages 541-555 DOI: https://doi.org/10.12989/cac.2012.10.5.541 |
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Nonlinear analysis of service stresses in reinforced concrete sections-closed form solutions |
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Helena F.M. Barros and Rogerio A.F. Martins
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| Abstract | ||
| This paper presents an algorithm for the evaluation of stresses in reinforced concrete sections under service loads. The algorithm is applicable to any section defined by polygonal contours and is based on an analytical integration of the stresses. The nonlinear behaviour of concrete is represented by the parabola-rectangle law used in the Eurocode-2 for the ultimate concrete design. An integrated definition of the strains in concrete and steel is possible by the use of Heaviside functions, similarly to what is done for ultimate section design in Barros et al. (2004). Other constitutive equations for the definition of the stresses in the concrete or steel can be easily incorporated into the code. The examples presented consist in the evaluation of resulting axial load and bending moment in an irregular section and in a section in L shape. The results, for service stresses, can also be plotted in terms of design abacus; a rectangular doubly reinforced section is presented as example. | ||
| Key Words | ||
| reinforced concrete; serviceability limit state; stress control; analytical solution; design abacus. | ||
| Address | ||
| Helena F.M. Barros: Institute for Systems Engineering and Computers at Coimbra (INESC Coimbra), Department of Civil Engineering, Faculty of Sciences and Technology University of Coimbra, Portugal; Rogerio A.F. Martins: Engineering Faculty, Lusiada University, V N Famalicao, Portugal | ||