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Computers and Concrete
  Volume 3, Number 5, October 2006 , pages 313-334
DOI: https://doi.org/10.12989/cac.2006.3.5.313
 


Design optimization of reinforced concrete structures
Andres Guerra and Panos D. Kiousis

 
Abstract
    A novel formulation aiming to achieve optimal design of reinforced concrete (RC) structures is presented here. Optimal sizing and reinforcing for beam and column members in multi-bay and multi-story RC structures incorporates optimal stiffness correlation among all structural members and results in cost savings over typical-practice design solutions. A Nonlinear Programming algorithm searches for a minimum cost solution that satisfies ACI 2005 code requirements for axial and flexural loads. Material and labor costs for forming and placing concrete and steel are incorporated as a function of member size using RS Means 2005 cost data. Successful implementation demonstrates the abilities and performance of MATLAB\'s (The Mathworks, Inc.) Sequential Quadratic Programming algorithm for the design optimization of RC structures. A number of examples are presented that demonstrate the ability of this formulation to achieve optimal designs.
 
Key Words
    sequential quadratic programming; cost savings; reinforced concrete; optimal stiffness distribution; optimal member sizing; RS means; nonlinear programming; design optimization.
 
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