OPTIMUM BRACING POINT(S) FOR LONG COLUMNS UNDER UNIAXIALLY LOADING CONDITIONS USING PATTERN SEARCH
Journal Title: International Journal of Civil, Structural, Environmental and Infrastructure Engineering Research and Development (IJCSEIERD) - Year 2017, Vol 7, Issue 2
Abstract
Pattern search PS method is an effective method for finding the optimum results of any kind of optimization problem, The big advantage of using any method in engineering optimization problems specifically, is that it can be used with highly constrained design of structures. Finding the optimum bracing point for long columns design represents a challenging problem to the efficiency of any optimization method. By limiting the design procedure with many non linear constraints for the buckling stability of long columns according to the ACI code 2011 limitations. Although, PS was used before in concrete design problems, the effect of buckling was not introduced in designing an optimum section of reinforced concrete long columns especially in finding the optimum bracing point(s). A new approach was used here for this kinds of problems, which was introducing a highly constraint function as an objective function. Although, it will be more efficient to use more than one objective function ( multi optimization ), the limitation of the solver prevent that. A predictable long column design example was first solved with these non linear constraints to check the efficiency of PS method in finding an optimum bracing point. After that, other examples were solved for other loading conditions. Also, these examples were solved again using Genetic Algorithms GAs to check the solution. It was found that, by using more than one bracing point in finding an optimum section that resist the applied loads and moments using PS, a slight difference will accrue than using only one bracing point. Approving for the fact that, even when the designed problem is highly constrained as finding an optimum bracing point of reinforced concrete long column under buckling effect, the PS still gives an excellent results for design.
Authors and Affiliations
RABI’ M. NAJEM
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