In the face of rapid changes in technological progress and market demands, industrial facilities require technical re-equipment to meet their objectives more and more frequently. In the article, work was carried out to investigate the possibility of equipping the existing production building, which is a two-span steel frame made of solid-wall welded I-beams of constant section, crane-beams with lifting capacity of 10 tons instead of the existing 5 tons, with possible options of reinforcement of structures in case of lack of their bearing capacity.
This paper presents an analytical and numerical study of the lateral buckling of beams with double symmetrical I and H cross sections having substantially the same plastic modulus of resistance around the strong axis subjected by a uniformly distributed load in order to understand the influence of the one of the forms during lateral buckling. For this, a critical elastic moment analysis is carried out using ANSYS software using the element SHELL181 and analytical formulas from Eurocode3. Finally, there is a presentation of the non-linear behavior of these two cross sections.
The works elucidates the extremum areas of the polygons circumscribing parabolic figures. It is shown that the ratio of the areas of the polygons circumscribed near parabolic figures to the areas of the corresponding figures always remains a constant value, independent of the coefficients characterizing the quadratic function. The only point at which the function under study reaches its minimum value is found. The question of the necessary conditions for the existence of a circle circumscribed about a parabolic quadrilateral found in the Ptolemy theorem is being considered.
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