Flexural Design of Reinforced Concrete Frames by Genetic Algorithm

Lee, C K; Ahn, Jae-Gyun

doi:10.1061/(asce)0733-9445(2003)129:6(762)

Cited by 125 publications

(66 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Their cost function included the material costs of the concrete, reinforcement and the formwork. Lee and Ahn (2003) also minimized the cost of two-dimensional reinforced concrete frames subjected to gravity and lateral loading based on the ACI code ("Building" 1999) and the UBC (1997) using GA. Beams and columns had rectangular sections and their design variables were depth and width of the sections and area of the reinforcement. Their cost function included the material costs of the concrete, reinforcement and the formwork.…”

Section: Introductionmentioning

confidence: 99%

Optimum Design of 2-D Reinforced Concrete Frames Using a Genetic Algorithm

Niaki¹,

Maheri²,

Bagheri³

2016

TOJDAC

View full text Add to dashboard Cite

Construction of concrete structures involves at least three different materials: concrete, steel and formwork. A large number of parameters, therefore, have to be dealt with in proportioning a reinforced concrete element, including width, depth, number and diameter of rebar. Consequently, together with experience, trial and adjustment are necessary in the choice of concrete sections. A trial section has to be chosen for each critical location in a structural system. The trial section has to be analyzed to determine if its nominal resisting strength is adequate to carry out the applied factored loads. Since more than one trial is often necessary to arrive at the required section, this process is time consuming. Also, the final design of a practiced designer is different from that of a beginner and it is never known whether the result is an optimum design. The objective of this research is to design optimally reinforced concrete frames that satisfy the limitations and specifications of the American Concrete Institute (ACI) Building Code and Commentary using a Genetic Algorithm (GA). The GA used in this study has an adaptive penalty function. New options are added to the GA, including tournament selection with specified conditions or repairing operator that acts on beams and columns to accelerate convergence of the program. Design results show that the algorithm presented here compares advantageously with classic methods or other GA algorithms used previously for optimum design of concrete frames.

show abstract

Section: Introductionmentioning

confidence: 99%

Optimum Design of 2-D Reinforced Concrete Frames Using a Genetic Algorithm

Niaki¹,

Maheri²,

Bagheri³

2016

TOJDAC

View full text Add to dashboard Cite

show abstract

“…Regarding reinforced concrete (RC) structures, early applications in 1997 include the work of Coello et al [12], who applied genetic algorithms to the economic optimization of RC beams. Recently, there have been a number of RC applications [13][14][15][16][17][18][19][20], which optimize RC beams and building frames by genetic algorithms. Also recently, our research group has applied simulated annealing and threshold acceptance to the optimization of walls, frame bridges, building frames, vaults and bridge piers [21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Heuristic optimization of prestressed concrete precast pedestrian bridges

Martí

González-Vidosa

Alcalà

2009

WIT Transactions on the Built Environment

View full text Add to dashboard Cite

This paper deals with the economic optimization of prestressed concrete precast pedestrian bridges typically used in public works construction. These bridges are made of a precast concrete beam that integrates an upper reinforced concrete slab for the pedestrian traffic. The beam has a U-shape cross-section. Typical span lengths range from 20 to 40 m and the width ranges from 3.00 to 6.00 m. The study shows the efficiency of heuristic optimization by the simulated annealing (SA) and the threshold accepting (TA) algorithms. The evaluation of solutions follows the Spanish Code for structural concrete. Stress resultants and envelopes of these structures are computed by direct calculation. Design loads are in accordance with the national IAP Code for road bridges. The algorithms are applied to a typical pedestrian bridge of 40 m of span length and 6.00 m of width. This example has 59 discrete design variables for the geometry of the beam and the slab, materials in the two elements and active and passive reinforcement. The evaluation module includes the limit states that are commonly checked in design: flexure, shear, deflections, etc. The application of the SA and TA algorithms requires the calibration of the initial temperature and threshold, the number of variables modified in each iteration, the length of the Markov chains and the reducing coefficient. Each heuristic is run nine times so as to obtain statistical information about the minimum, average and deviation of the results. The best result has a cost of 27,586 euros for the SA algorithm and 27,570 euros for the TA algorithm. Finally, solutions and run times indicate that heuristic optimization is a forthcoming option for the design of real prestressed structures.

show abstract

“…As regards RC structures, early applications in 1997 include the work of Coello et al [12], who applied genetic algorithms to the economic optimization of RC beams. Recently, there have been a number of RC applications [13][14][15][16][17][18][19][20], which optimize RC beams and building frames by genetic algorithms. And also recently, our research group has applied simulated annealing and threshold acceptance to the optimization of walls, portal and box road frames and building framed structures [21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Threshold accepting optimization of road vaults and rectangular hollow bridge piers

Carbonell¹,

Martínez²,

Piqueras³

et al. 2007

WIT Transactions on the Built Environment, Vol 91

View full text Add to dashboard Cite

This paper deals with the economic optimization of reinforced concrete road vaults and with the optimization of rectangular hollow section bridge piers typically used in road construction. It shows the efficiency of a heuristic optimization by the threshold accepting algorithm. The evaluation of solutions follows the Spanish Code for structural concrete. Design loads are in accordance to the national IAP Code for road bridges. The algorithm is firstly applied to a RC hydraulic vault of 4.00 m of horizontal span and 800 m of length. This example has 23 discrete design variables, 3 geometrical, 3 of materials and 17 of reinforcement. Stress resultants and envelopes of vault structures are computed by an internal matrix method program. Best results amount to 958 euros/m and they indicate savings of about 8% with respect to the prior real design office calculations. The second structure analysed is a 24 m RC vertical height bridge pier of hollow rectangular cross-section, which supports the main span of a prestressed concrete road bridge of 60-90-60 meters of longitudinal spans. This example has 95 discrete variables, 15 geometrical, 7 types of concrete and 73 types of reinforcement bars of fixed length. The evaluation module includes the limit states that are commonly checked in design: flexure, shear, deflections, buckling, etc. Results indicate savings of about 30% with respect to the design based on the experience of the bridge designers. Finally, results indicate that heuristic optimization is a forthcoming option for improving the design costs of real RC structures.

show abstract

Flexural Design of Reinforced Concrete Frames by Genetic Algorithm

Cited by 125 publications

References 11 publications

Optimum Design of 2-D Reinforced Concrete Frames Using a Genetic Algorithm

Optimum Design of 2-D Reinforced Concrete Frames Using a Genetic Algorithm

Heuristic optimization of prestressed concrete precast pedestrian bridges

Threshold accepting optimization of road vaults and rectangular hollow bridge piers

Contact Info

Product

Resources

About