Saosys Toolbox as Matlab Implementation in the Elastic‐plastic Analysis and Optimal Design of Steel Frame Structures

Abstract. The presented paper deals with the stochastic analysis of the ultimate limit states of steel-concrete building members. The load carrying capacity of steel-concrete columns, comprising of steel profiles encased in high strength concrete, in compression is analyzed. The first part of the paper lists assumptions for the determination of the theoretical load carrying capacity of the column. Principles of elasticity and plasticity are used to determine stresses in the concrete and steel sections. Statistical characteristics of input material and geometrical imperfections are listed. Results of the theoretical analysis are then compared with results of experimental research. Statistical characteristics of obtained results of the theoretical analysis were verified using statistical characteristics obtained from experimental research. Numerical simulation LHS and Monte Carlo methods, which take into account the influences of variability of input imperfections, were employed. The influence of the utilization of the plastic reserve in the determination of the load carrying capacity of the analysed strut is shown. The influence of the initial geometric imperfections of initial strut curvature on the load carrying capacity is also presented.

Section: Resultsmentioning

confidence: 99%

Stability Problems of Steel‐concrete Members Composed of High‐strength Materials

Kala

Puklický

Omishore

et al. 2010

“…− an exact estimation of the load distribution is significant in many engineering applications (Lazzari et al 2009) as an example for optimisation problems; this allows to use materials taking into account structural reliability and to solve design problems at a higher level by using plastic deformations in case of variable loads (Jankovski, Atkočiūnas 2010, 2011Atkočiūnas, Venskus 2011).…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Comparison of Testing Results of Three Poorly Streamlined Entertainment Venues / Trijų Sudėtingo Pavidalo Pramoginių Statinių Maketų Bandymų Rezultatų Gretinimas

Pavlovsky

Lebedich²,

Samofalov

et al. 2012

Abstract. The article discusses experimental investigations of wind effects and use of design codes for solving aerodynamic problems. It provides data regarding wind-tunnel tests conducted on three buildings with poorly streamlined shapes, including: methodology and test conditions, aerodynamic properties of the designed structures, features of physical models and research results. All three civil buildings are multi-purpose stadiums of the European level. Despite the identical functional purpose, each building has a unique shape and volume. The paper analyses and compares testing conditions in the wind tunnel and some selective results. The authors propose a criterion for estimating aerodynamic properties of the overhanging roof over spectator stands. The article also considers dependencies of model surface pressures on airflow directions under various test conditions.

“…Modern commercial programs of structure analysis widely used for design include nonlinear calculation subprograms and calculation kernels. Mathematical computation packages have been also developed, and thus enable us to solve various high-level mathematical problems one of which is associated with the analysis of geometrically nonlinear elastic-plastic space structures and can be solved by using the possibilities provided by computation packages (Jankovski, Atkočiūnas 2010;MathWorks Inc. 2010).…”

Section: Introductionmentioning

confidence: 99%

The Analysis of Geometrically Nonlinear Elastic-Plastic Space Frames / Tampriai Plastinių Geometriškai Netiesinių Erdvinių Rėmų Analizė

Karkauskas

Popov

2011

The establishment of the real stress-strain state of the structure is one of the most important problems for designing and undertaking the reconstruction of building constructions as well as making calculations for the purpose of optimizing cross-sections of various structural elements. This task can be achieved by analysing the structure as a geometrically nonlinear system (refusing an assumption of small displacements) and taking into consideration plastic deformations. Modern computer technologies and mathematical tools enable us to perform strength analysis of space structures and to increase the accuracy of stress-strain state analysis. The present paper develops a technique for constructing a finite element tangent matrix for the nonlinear analysis of the space frame structure aimed at determining plastic deformations. The mathematical models of the problems based on static and kinematic formulations using the dual theory of mathematical programming were created for analysis. Strength conditions presented in construction codes and specifications AISC-LRFD and suggested by other researchers (e.g. Orbison's strength conditions) are used in the formulations of the analysed problems. The mathematical models of the considered problems are tested by calculating a two-storied space frame. The results of the performed analysis are compared with data obtained within the studies conducted by other researchers.