Abstract
This paper presents, in a probabilistic formulation, the optimization method of box and I-beams subjected to bending. Dimensions of the girder, material constants and the bending moment a.re random variables. The minimum area of the cross-section is assumed as the objective function. The conditions of strength and of local and global stability represent the constraints. The examples of calculations serve as a basis for comparative analysis of the results obtained and the results of deterministic optimization.
References
T.GIBCZYŃSKA, Optimum design of thin-walled box beams [in Polish], Zesz. Nauk. Pol. Krak., Mech., 4, 63, 1980.
S.JENDO and W.MARKS, Structural optimization by stochastic programming methods [in Polish], Ossolineum, Warszawa 1983.
S.P.TIMOSHENKO and J.M.GERE, Theory of elastic stability [Polish translation], Arkady, Warszawa 1963.
D.FRANKPOL and J.RONDAL, Le dimensionnement probabiliste optimal des structures, Het lngenierusblad, 46, 7, 189-195, 1977.
S.JENDO, W.MARKS and A.M.BRANDT, Probabilistic approach to reliability-based optimum structural design, Rozpr. Inż., 32, 1, 57-74, 1984.
S.JENDO and W.MARKS, Structural optimization by stochastic programming methods [in Polish], Ossolineum, Warszawa 1983.
S.P.TIMOSHENKO and J.M.GERE, Theory of elastic stability [Polish translation], Arkady, Warszawa 1963.
D.FRANKPOL and J.RONDAL, Le dimensionnement probabiliste optimal des structures, Het lngenierusblad, 46, 7, 189-195, 1977.
S.JENDO, W.MARKS and A.M.BRANDT, Probabilistic approach to reliability-based optimum structural design, Rozpr. Inż., 32, 1, 57-74, 1984.
