Optimum Dimensions of Triangular Cross-Section in Lattice Structures
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In this paper, we discuss the problem of optimization of triangular cross-section in lattice mechanical structures. At the beginning, the method of Lagrange’s multipliers for extremes of the function of three variables is described on the basis of which the following analysis is carried out. Optimization is achieved on the basis of criteria of stress and deformation. Verification of the obtained theoretical results is performed on a numerical example for the general case of lattice construction load as well as for the lattice construction of the tower crane boom.
KeywordsTriangular cross-section Lattice structures Lagrange multipliers Stress Optimization
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