To the optimization model of flexible reinforced concrete elements in monolithic frames of buildings

Abstract

Abstract This article examines a three-span 8-storey frame building with the aim of optimizing the girders based on heuristic algorithms. A comparative analysis of modern heuristic algorithms for optimizing bending elements as applied to reinforced concrete frames of monolithic multi-storey buildings for the possibility of their use in practical engineering calculations. A mathematical model of the adapted algorithm has been formed that meets the requirements of Russian standards. The target function for cost has been determined, including the cost of materials (concrete and reinforcement), formwork, construction with the corresponding rise in price coefficients. In this case, the girder is optimized, since, despite the fact that their number in the building frame is 24, the cost is about 65% of the total cost, including reinforced concrete columns in the amount of 32.5 constant parameters and 19 variable parameters are selected, a set of limitations of the optimization algorithm was developed, including regulatory requirements for the calculation of limit states, design requirements for the reinforcement of the girder and its geometric characteristics, including the concrete cover, the step of the rods, anchoring, etc. The calculation of girders as part of a reinforced concrete monolithic frame of an 8-storey building was carried out using the developed methodology and the comparison of the results obtained with numerical calculations and solutions obtained by other methods. It is shown that the results of numerical calculations have a sufficiently high efficiency of the developed optimization technique. The final cost is after 100.000 iterations. Savings in terms of the main design characteristics range from 3 to 13%, depending on the complexity of the problem and the accepted constraints.