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Optimum RC column reinforcement considering multiple load combinations

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Abstract

A general method is proposed to determine optimal reinforcement distributions for rectangular reinforced concrete column sections subjected to multiple combinations of axial load and moment. The design problem is formulated as a general constrained nonlinear optimization problem and is solved both mathematically and graphically. Ultimate strength and strength reduction factors are evaluated using ACI code provisions. The method provides a simple approach to determine optimal reinforcement under multiple loading combinations. The use of optimal reinforcement rather than conventional (symmetric) distributions of reinforcement can lower construction costs and environmental impacts.

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References

  • ACI 318 (2002) Building Code Requirements for Structural Concrete and Commentary. ACI Committee 318, American Concrete Institute, Detroit, MI

  • ACI 318 (2005) Building Code Requirements for Structural Concrete and Commentary. ACI Committee 318, American Concrete Institute, Detroit, MI

  • Adamu A, Karihaloo BL (1994a) Minimum cost design of RC beams using DCOC Part I: beams with freely-varying cross-sections. Struct Optim 7:237–251

    Article  Google Scholar 

  • Adamu A, Karihaloo BL (1994b) Minimum cost design of RC beams using DCOC Part II: beams with uniform cross-sections. Struct Optim 7:252–259

    Article  Google Scholar 

  • Adamu A, Karihaloo BL (1995a) Minimum cost design of RC frames using the DCOC method Part I: columns under uniaxial bending actions. Struct Optim 10:16–32

    Article  Google Scholar 

  • Adamu A, Karihaloo BL (1995b) Minimum cost design of RC frames using the DCOC method Part II: columns under biaxial bending actions. Struct Optim 10:33–39

    Article  Google Scholar 

  • Adamu A, Karihaloo BL (1995c) Minimum cost design of RC beams with segmentation using continuum-type optimality criteria. Struct Optim 9:220–235

    Article  Google Scholar 

  • Adamu A, Karihaloo BL, Rozvany GIN (1994) Minimum cost design of reinforced concrete beams using continuum-type optimality criteria. Struct Optim 7:91–102

    Article  Google Scholar 

  • Hernández-Montes E, Gil-Martín LM, Aschheim M (2005) The design of concrete members subjected to uniaxial bending and compression using reinforcement sizing diagrams. ACI Struct J 102(1):150–158

    Google Scholar 

  • Kanagasundaram S, Karihaloo BL (1990) Minimum cost design of reinforced concrete structures. Struct Optim 2:173–184

    Article  Google Scholar 

  • Kanagasundaram S, Karihaloo BL (1991a) Minimum-cost reinforced concrete beams and columns. Comput Struct 41(3):509–518

    Article  MATH  Google Scholar 

  • Kanagasundaram S, Karihaloo BL (1991b) Minimum-cost design of reinforced concrete structures. Comput Struct 41(6):1357–1364

    Article  Google Scholar 

  • MATLAB R2006a (2006) Optimization toolbox 3 user’s guide. The MathWorks, Inc., Natick, MA

    Google Scholar 

  • Whitney CS, Cohen E (1956) Guide for ultimate strength design of reinforced concrete. ACI J 28(5):445–490; Nov. (Proceedings V. 53)

    Google Scholar 

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Correspondence to Ho Jung Lee.

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Lee, H.J., Aschheim, M., Hernández-Montes, E. et al. Optimum RC column reinforcement considering multiple load combinations. Struct Multidisc Optim 39, 153–170 (2009). https://doi.org/10.1007/s00158-008-0318-4

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  • DOI: https://doi.org/10.1007/s00158-008-0318-4

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