Optimisation des structures métalliques fléchies dans un calcul plastique

Abstract
The steel structure is a type of construction that is very developed in civil engineering. In the phase of survey and then of execution and installation of a metal work, the phase of conception is often the place of discontinuities that prevents the global optimization of material steel. In our survey, we used the traditional approach of optimization that is essentially based on the minimization of the weight of the structure, while taking advantages of plastic properties of steel in the case of a bending structure. It has been permitted because of to the relation found between the areas of the sections of the steel elements and the plastic moment of these sections. These relations have been drawn for different types of steel. In order to take advantages of the linear programming, a simplification has been introduced in transforming these relation to linear relations, which permits us to use simple methods as the simplex theorem. This procedure proves to be very interesting in the first phases of the survey and give very interesting results.