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Cost optimization of singly and doubly reinforced concrete beams with EC2-2001

  • Industrial Applications
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Abstract

A model for the optimal design of rectangular reinforced concrete sections is presented considering the stress–strain diagrams described in EC2-2001 and MC90. The following expressions are developed: economic bending moment; optimal area of steel and optimal steel ratio between upper and lower steel. All the expressions are in nondimensional form. The present model is applied to four different classes of concrete described in MC90. It is concluded that in nondimensional form the equations are nearly coincident for both singly and doubly reinforcement. It is also concluded that the ultimate strain for concrete in the compression zone, εcm, lies between the strain for peak stress εc1 and the ultimate strain εcu. This result is relevant once that the maximum moment is obtained for this value, and not the value εcu, as defined in EC2-2001. Cost optimization is implemented in the code and compared with other optimum models based on the ultimate design of ACI.

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Authors and Affiliations

  1. Civil Engineering Department, Faculty of Science and Technology, University of Coimbra, Portugal

    M.H.F.M. Barros

  2. Faculty of Engineering, DEMEGI FEUP, Porto, Portugal

    R.A.F. Martins

  3. Mechanical Engineering Department, IST, IDMEC/IST, Lisbon, Portugal

    A.F.M. Barros

Authors
  1. M.H.F.M. Barros
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  2. R.A.F. Martins
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  3. A.F.M. Barros
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Correspondence to M.H.F.M. Barros.

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Barros, M., Martins, R. & Barros, A. Cost optimization of singly and doubly reinforced concrete beams with EC2-2001. Struct Multidisc Optim 30, 236–242 (2005). https://doi.org/10.1007/s00158-005-0516-2

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  • DOI: https://doi.org/10.1007/s00158-005-0516-2

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