Abstract
Fundamental advantage of using corrugated web girder rather than plate girder reinforced with stiffeners is securing stability against shear buckling of web and unnecessary stiffeners despite the thinner web. Nonetheless, because shear buckling behavior of corrugated web is very complex, the design mechanism for beams and local, global, and interactive buckling problems should be considered in designing of its structural optimization for better economics and reasonableness. Therefore, this paper proposes a mathematical model for minimum weight design of sinusoidal web girder for securing better stability with smooth corrugation and aims at developing its optimum design program. The constraints for the optimum design were composed on the basis of the standards of EN 1993-1-5, DASt-R015, and DIN 18800, and the optimum program was coded in accordance with the standards based on Real-Coded Genetic Algorithms. The genetic operators for the developed program resulted in a stable solution with crossover probability between 12.5 and 50%, and the perturbation vector for outbreeding could obtain the best result with the model being applied of feasible design variable space of 20–30%. Additionally, the increase of yield strength resulted in decreased value of the objective function, and it was found through the change of the value of the constraint function that the thickness of web was an important factor in the optimum structural design.
Highlights
Plate girders reinforced with stiffeners are widely used for long-span steel structures and under condition of heavy load
This study proposes a method for an optimum structural design of sinusoidal corrugated web (SCW) beam and aims at developing its global optimization program
Real-Coded Genetic Algorithm (RCGA) is applied to compute the global minimum for a problem consisting of constraints as well as the objective function to minimize the cross-sectional area of SCW beam
Summary
Plate girders reinforced with stiffeners are widely used for long-span steel structures and under condition of heavy load. The GA like simulated annealing (SA) can be applied to various types of problems, and this is a global optimization method widely used This method emulates the genetics of nature to search for an appropriate solution by the process of artificially creating new operators for generation through the operations of selection, crossover, and mutation of a design variable set, which possess similar structure as the biological genetic factor, that is, chromosomes [22]. Real number variable makes the movement to new search space of more wide design range to escape from local minimum It results in a mutation probability relatively higher than binary variable to be applied differently depending on the problems and is defined as shown in xinew. The number of individuals that are suitable for the optimal design of SCW beam
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
