Uncertainty analysis of the cross-sectional area of a structural member

The paper deals with the fuzzy analysis of the cross-sectional area within the scope of reliable design of a steel bar. The paper describes the application of the theory of fuzzy sets as a tool in the modelling of uncertainty arising due to human activities. The fuzzy numbers of the geometrical characteristics were derived with respect to the tolerance limits of standard EN 10034 and results of experimental research. The fuzzy number of the cross-sectional area was evaluated according to the general extension principle. Results of the fuzzy analysis are compared with the histogram of cross-sectional area. The paper elaborates on technical knowledge in the field of reliability assessment and design of steel structures.

[1]  Jakub Gottvald.  The calculation and measurement of the natural frequencies of the bucket wheel excavator schrs 1320/4X30 , 2010 .

[2]  Uwe Reuter,et al.  Uncertainty Forecasting in Engineering , 2007 .

[3]  Libor Puklicky.  Imperfection sensitivity and insensitivity of building structures , 2009 .

[4]  Niels Olhoff,et al.  Sensitivity analysis of structures , 1997 .

[5]  Zdeněk Kala,et al.  Material and geometrical characteristics of structural steels based on statistical analysis of metallurgical products , 2009 .

[6]  Zdeněk Kala.  Stability problems of steel structures in the presence of stochastic and fuzzy uncertainty , 2007 .

[7]  Zdenek Kala,et al.  Resistance of plate girders under combined bending and shear , 2010 .

[8]  M. Karmazínová,et al.  SENSITIVITY AND STATISTICAL ANALYSIS WITHIN THE ELABORATION OF STEEL PLATED GIRDER RESISTANCE , 2009 .

[9]  Daiva Zilioniene,et al.  Evaluation of Soil Shear Strength Parameters via Triaxial Testing by Height Versus Diameter Ratio of Sample , 2009 .

[10]  Jiří Kala,et al.  Sensitivity Analysis of Stability Problems of Steel Structures using Shell Finite Elements and Nonlinear Computation Methods , 2011 .

[11]  Miklós Iványi,et al.  Stability problems of steel structures , 1992 .

[12]  Zdeněk Kala.  Sensitivity analysis of steel plane frames with initial imperfections , 2011 .

[13]  Zdeněk Kala,et al.  Sensitivity assessment of steel members under compression , 2009 .

[14]  Marcela Karmazínová,et al.  DESIGN OF EXPANSION ANCHORS TO CONCRETE BASED ON RESULTS OF EXPERIMENTAL VERIFICATION , 2009 .

[15]  Zdeněk Kala,et al.  Fuzzy probability analysis of the fatigue resistance of steel structural members under bending , 2008 .

[16]  L. Puklický,et al.  Application of Uncertainty Analysis to Stability Problems of Steel-Concrete Structural Members , 2009 .

[17]  Abayomi Omishore,et al.  Stability problems of steel‐concrete members composed of high‐strength materials , 2010 .

[18]  Stanislav Stastník,et al.  Identification of basic thermal technical characteristics of building materials , 2007, Kybernetika.

[19]  Milan Holický,et al.  Design characteristics of structural steels based on statistical analysis of metallurgical products , 2004 .

[20]  Jonas Amšiejus,et al.  Investigation of the Sand Porosity via Oedometric Testing , 2010 .

[21]  Algirdas Juozapaitis,et al.  Determination of Rational Parameters for the Advanced Structure of a Pedestrian Suspension Steel Bridge , 2007 .

[22]  Pavel Padevět,et al.  Material properties of cement paste at high temperatures , 2009 .

[23]  Zdeněk Kala,et al.  Sensitivity analysis of the stability problems of thin-walled structures , 2005 .

[24]  Zdeněk Kala.  Sensitivity analysis of stability problems of steel plane frames , 2011 .

[25]  Abayomi Omishore.  Advanced modeling approaches for reliability analysis of steel structures , 2010 .

[26]  Konrad Bergmeister,et al.  Technologische Eigenschaften von Stählen im europäischen Vergleich , 2006 .