Performance-Based Optimization of Reinforced Ductile Concrete Frames with Asymmetric Reinforcement in Columns Using the ISR Analogy

Luis Fernando Verduzco Mart´ınez *

Faculty of Engineering, Campus Centro Universitario, Autonomous University of Queretaro, Cerro de las Campanas, 76010, Santiago de Queretaro, Quer ´ etaro, M ´ exico.

Jaime Moises Horta ´ Rangel

Faculty of Engineering, Campus Centro Universitario, Autonomous University of Queretaro, Cerro de las Campanas, 76010, Santiago de Queretaro, Quer ´ etaro, M ´ exico.

Miguel Angel P ´ erez Lara y Hern ´ ande

Faculty of Engineering, Campus Centro Universitario, Autonomous University of Queretaro, Cerro de las Campanas, 76010, Santiago de Queretaro, Quer ´ etaro, M ´ exico

Juan Bosco Hernandez Zaragoza

Faculty of Engineering, Campus Centro Universitario, Autonomous University of Queretaro, Cerro de las Campanas, 76010, Santiago de Queretaro, Quer ´ etaro, M ´ exico.

*Author to whom correspondence should be addressed.


Abstract

Aims/ Objectives: The present work exposes the design of optimization procedures both with the “Particle Swarm Optimization” (PSO) algorithm and the “Genetic Algorithm” (GA) for the design of reinforced concrete frames, making comparisons in cost, weight of the structure and predicted damage. The optimization procedures are built up using the “Idealized Smeared Reinforcement” (ISR) analogy for each element of the structural model frames considered for this work.


Study Design: Descriptive Cross-sectional study. 

Place and Duration of Study: Graduate Engineering Department, Autonomous University of Queretaro, Santiago de Quertaro, Quertaro, Mxico, August 2021.

Methodology: Two different numerical structural plane-frame models were created for the application and comparison of the performance of the optimization design procedures hereby proposed. The optimization procedures were mono-objective with a cost-objective function, taking on account steel reinforcement and concrete for the cost computation. Two different design approaches were carried on for this work, one proposing asymmetrical reinforcement for columns and the other with symmetrical reinforcement. In order to compute the damage indices considered for this study a non-linear Pushover structural analysis is performed.

Results: Results show that asymmetrical reinforcement in columns may reduce concrete volumes, although such reduction in material might not be quite proportional with construction cost, given that asymmetric reinforcement in columns is more expensive than symmetrical, per unit-cost. The bigger the structure, the more likely is to obtain lighter structures by using asymmetrical reinforcement. Regarding damage of the structure, results show that when using asymmetrical reinforcement in columns, it is more likely to obtain smaller values for the expected damage with no great difference on the estimated collapse Safety Factors for the seismic loads. In general, the proposed methodology hereby proposed enhances quite good optima results, requiring only a few adjustments of clash-free and slap reinforcement after the optimization procedure terminates.

Conclusion: When designing reinforced concrete frames with asymmetric reinforcement in columns, an increase in construction costs of as much as 25% as that obtained for symmetric reinforcement could be enhanced. In general, with the proposed methodology to optimally design reinforced concrete frames, savings of as much as 20% in construction costs from an initial structural proposal can be reached.

Keywords: ISR analogy, reinforced concrete frames, mono-objective optimization, asymmetrical reinforcement, collapse safety-factors, damage indices.


How to Cite

Mart´ınez, Luis Fernando Verduzco, Jaime Moises Horta ´ Rangel, Miguel Angel P ´ erez Lara y Hern ´ ande, and Juan Bosco Hernandez Zaragoza. 2021. “Performance-Based Optimization of Reinforced Ductile Concrete Frames With Asymmetric Reinforcement in Columns Using the ISR Analogy”. Current Journal of Applied Science and Technology 40 (21):32-60. https://doi.org/10.9734/cjast/2021/v40i2131469.