Heuristic Optimization Of Short Corbels By
Smeared Cracking Finite Element Analysis
Author(s)
G. Rojas, P. Rojas, F. González-Vidosa & V. Yepes
Abstract
This paper deals with the economic optimization of reinforced concrete short
corbels typically used in construction. The study shows the efficiency of
heuristic optimization by the random search, the descent local search and the
Simulated Annealing (SA) algorithms. The evaluation of solutions follows a
nonlinear finite element analysis with smeared cracking up to failure. Designs
are considered feasible when they withstand a prescribed reference load. The
algorithms are applied to a typical short corbel of 0.350m of total depth for
which there is available data about the mode of failure and ultimate loads. The
distance of the applied load to the built-in section is 0.150m. This example has
seven discrete design variables for the geometry of the corbel, material and
passive reinforcement. The application of the SA algorithm 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 10.4770€ for the SA algorithm. Finally, solutions and run times indicate
that heuristic optimization is a forthcoming option for the design of real nonlinear
finite element analysed structures.
Keywords: economic optimization, heuristics, concrete structures, structural
design, smeared cracking.
Eng.
Keywords
Heuristic optimization of short corbels by
smeared cracking finite element analysis
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