Application of Uncertainty Analysis to Stability Problems of Steel-Concrete Structural Members

Abstract The paper deals with the fuzzy analysis of the ultimate limit state of a steel strut with an encased web in compression. The first part of the paper lists presumptions required for the determination of the theoretical load carrying capacity for the column. Stresses in the concrete and steel sections are determined according to the principles of elasticity. The ultimate limit state is given as the limit stress attained in the most stressed section of either the steel or concrete section. A general extended principle, which takes into account the epistemic uncertainty of input parameters, was utilized for the conducted analysis.

[1]  L. A. Zadeh,et al.  From Circuit Theory to System Theory , 1962, Proceedings of the IRE.

[2]  Z. Kołakowski,et al.  COUPLED INSTABILITY RELATED COLLAPSE BEHAVIOUR OF CHANNEL-SECTION BEAM-COLUMN , 2000 .

[3]  S. Timoshenko.  Theory of Elastic Stability , 1936 .

[4]  Lotfi A. Zadeh,et al.  Outline of a New Approach to the Analysis of Complex Systems and Decision Processes , 1973, IEEE Trans. Syst. Man Cybern..

[5]  Ahmet Avci,et al.  FRACTURE BEHAVIOR OF GLASS FIBER REINFORCED POLYMER COMPOSITE , 2004 .

[6]  James Rhodes,et al.  Stability of structures , 2007 .

[7]  Zbigniew Kolakowski,et al.  Estimation of load-carrying capacity of multi-layered plated structures , 2008 .

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

[9]  Harun Tanyildizi,et al.  Fuzzy logic model for the prediction of bond strength of high-strength lightweight concrete , 2009, Adv. Eng. Softw..

[10]  Romanas Karkauskas,et al.  Optimisation of geometrically non‐linear elastic‐plastic structures in the state prior to plastic collapse , 2007 .

[11]  Fuat Demir,et al.  Fuzzy logic approach to predict stress-strain curves of steel fiber-reinforced concretes in compression , 2007 .

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

[13]  Viktor Gribniak,et al.  SHRINKAGE IN REINFORCED CONCRETE STRUCTURES: A COMPUTATIONAL ASPECT/BETONO TRAUKIMOSI ĮTAKA GELŽBETONINIŲ ELEMENTŲ ELGSENAI: SKAIČIAVIMO YPATUMAI , 2008 .

[14]  Gokmen Tayfur,et al.  FUZZY LOGIC MODEL FOR THE PREDICTION OF CEMENT COMPRESSIVE STRENGTH , 2004 .

[15]  T. Ross.  Fuzzy Logic with Engineering Applications , 1994 .

[16]  Arnoldas Norkus,et al.  Optimization of geometrically nonlinear elastic-plastic structures under stiffness constraints , 2001 .

[17]  Arnoldas Norkus,et al.  Truss optimization under stiffness, stability constraints and random loading , 2006 .