Abstract

this paper considers the possibility of applying the ideas of dimensional analysis in optimization problems of building structures. The mathematical formalism for this opportunity are encouraged to use the method of geometric programming. Demonstration considered optimization problem reinforced concrete slab, which is solved with the help of the program developed by the author. The possibility of obtaining as a result of optimization of analytical expressions for the economic criteria of similarity best options. Also shows the possibility of obtaining optimal solutions in analytical form for those variables in the original problem are not uniquely defined. The very ambiguity of the definition of the variables of the original problem may not be obvious, and it appears in the process of optimizing, which is one of its results.

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