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Optimal design of multi-span structures with a double cross-section

Czepiżak D., Biegus A.

Archives of Civil and Mechanical Engineering

2014

Vol. 14, no. 4

757--765

The results of optimization analyses of structures with locally doubled cross-sections have been introduced. The purpose of this paper is to determine the optimal lengths of strengthened areas ai for two, three, four and five-span systems. The optimal length ai is defined as such a one, for which the structures achieve their maximum resistance at the least consumption of steel. Solving this problem, the variable length ai and stiffness EJi of local strengthenings in areas of internal supports and external bays have been taken into account. Different structural solutions have been analyzed due to the consumption of material and labour. The tested structures have been modelled by beams with changing bending stiffnesses. Statically indeterminate systems have been solved by the integration of differential equation of the IV order, describing the deflection curve. Practical recommendations concerning the optimal ways of local strengthening have been presented.

Finite Element Analysis of Cold-Formed Steel Structural Members with Performations Subjected to Compression Loading

MacDonald M., Kulatunga M. P.

Mechanics and Mechanical Engineering

2013

Vol. 17, nr 2

127--139

Numerical investigation on the behaviour of cold–formed thin–walled steel structural members with perforations is presented in this paper. Many structural cold–formed steel members are provided with cut–outs to accommodate electrical, plumbing, and heating services and so on. Due to the position of cut–outs, the elastic stiffness and ultimate strength of a structural member could be varied. The primary interest of this paper is to study the possible buckling occurrence on cold formed steel structural sections used as columns with perforations. Initially, a reliable finite element model was generated using the ANSYS software package to be able to predict the ultimate strength of cold–formed structural sections and to obtain a better understanding of the buckling failure behaviour highlighted, and conclusions will be drawn on this basis.

Analityczne metody wyznaczania naprężeń krytycznych niestateczności dystorsyjnej kształtowników giętych na zimno osiowo ściskanych

Werochowski W.

Zeszyty Naukowe. Budownictwo / Politechnika Śląska

2004

z. 102

543-552

W przekrojach cienkościennych pierwsza postać wyboczeniowa najczęściej związana jest z miejscową postacią utraty stateczności. Analiza stateczności kształtowników giętych na zimno z dodatkowymi usztywnieniami ścianek pokazuje, że w odniesieniu do pewnych cech przekroju pierwsza postać utraty stateczności pręta cienkościennego jest związana z postacią dystorsyjną. Podano analityczne metody wyznaczania naprężeń krytycznych dla tej postaci wyboczeniowej oraz dokonano porównania tych metod dla różnych przekrojów ceowych z usztywnieniami. Położono szczególny nacisk na wskazanie przekrojów, dla których metoda normowa [9] daje zawyżone wartości.

The buckling analysis of cold formed structures demonstrates that the minimum buckling load can be connected with distortional mode. The phenomena of distortional buckling and analytical methods for finding the critical stresses of this mode are presented. The analytical method used in national standard [9] in some cases gives higher values of critical stresses of distortional buckling. In such cases other methods (Schafer's or Hancock's) should be additionally implemented.