Uncertainty modelling of critical column buckling for reinforced concrete buildings

Buckling is a critical issue for structural stability in structural design. In most of the buckling analyses, applied loads, structural and material properties are considered certain. However, in reality, these parameters are uncertain. Therefore, a prognostic solution is necessary and uncertainties have to be considered. Fuzzy logic algorithms can be a solution to generate more dependable results. This study investigates the material uncertainties on column design and proposes an uncertainty model for critical column buckling reinforced concrete buildings. Fuzzy logic algorithm was employed in the study. Lower and upper bounds of elastic modulus representing material properties were defined to take uncertainties into account. The results show that uncertainties play an important role in stability analyses and should be considered in the design. The proposed approach is applicable to both future numerical and experimental researches. According to the study results, it is seen that, calculated buckling load values are stayed in lower and upper bounds while the load values are different for same concrete strength values by using different code formula.

[1]  Alex H. Barbat,et al.  Constitutive and Geometric Nonlinear Models for the Seismic Analysis of RC Structures with Energy Dissipators , 2008 .

[2]  Bart Kosko,et al.  Neural networks and fuzzy systems , 1998 .

[3]  Miran Saje,et al.  On materially and geometrically non-linear analysis of reinforced concrete planar frames , 2004 .

[4]  Wilfried B. Krätzig,et al.  Computational framework for long-term reliability analysis of RC structures , 2005 .

[5]  F. Demir A new way of prediction elastic modulus of normal and high strength concrete—fuzzy logic , 2005 .

[6]  Günay Özmen,et al.  Buckling lengths of unbraced multi-storey frame columns , 2005 .

[7]  Serhan Ozdemir,et al.  The use of GA-ANNs in the modelling of compressive strength of cement mortar , 2003 .

[8]  Wilfried B. Krätzig,et al.  Reliability of reinforced concrete structures under fatigue , 2002, Reliab. Eng. Syst. Saf..

[9]  Wu Yao,et al.  Effect of coarse aggregate type on mechanical properties of high-performance concrete , 2001 .

[10]  Bernd Möller,et al.  Safety assessment of structures in view of fuzzy randomness , 2003 .

[11]  Ahmed K. Noor,et al.  Uncertainty analysis of stiffened composite panels , 2001 .

[12]  Isaac Elishakoff,et al.  Whys and Hows in Uncertainty Modelling , 1999 .

[13]  Mehmet Gesoǧlu,et al.  Effects of end conditions on compressive strength and static elastic modulus of very high strength concrete , 2002 .

[15]  Francois Cheong-Siat-Moy An Improved K -Factor Formula , 2000 .

[16]  Yeong Min Kim,et al.  Fuzzy based state assessment for reinforced concrete building structures , 2006 .

[17]  Chris P. Pantelides,et al.  Computer-aided design of optimal structures with uncertainty , 2000 .

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

[19]  F. Demir,et al.  Determination of elastic moduli effects on storey-drifts by fuzzy logic algorithm , 2009 .

[20]  Günay Özmen,et al.  Simplified procedure for determining buckling loads of three-dimensional framed structures , 2007 .

[21]  T. H. Wee,et al.  STRESS-STRAIN RELATIONSHIP OF HIGH-STRENGTH FIBER CONCRETE IN COMPRESSION , 1999 .

[22]  M. Beer,et al.  Fuzzy Randomness: Uncertainty in Civil Engineering and Computational Mechanics , 2004 .

[23]  P. Bowen,et al.  Changes in portlandite morphology with solvent composition: Atomistic simulations and experiment , 2011 .

[24]  Franco Bontempi,et al.  Fuzzy reliability analysis of concrete structures , 2004 .

[25]  M. Shannag,et al.  HIGH STRENGTH CONCRETE CONTAINING NATURAL POZZOLAN AND SILICA FUME , 2000 .

[26]  C. Pacoste,et al.  Co-rotational beam elements with warping effects in instability problems , 2002 .

[27]  I. Elishakoff,et al.  Convex models of uncertainty in applied mechanics , 1990 .

[28]  Brahim Benmokrane,et al.  INFLUENCE OF COARSE AGGREGATE ON ELASTIC PROPERTIES OF HIGH-PERFORMANCE CONCRETE , 1991 .

[29]  Fuat Demir,et al.  Prediction of lower and upper bounds of elastic modulus of high strength concrete , 2008 .

[30]  L K Stevens ELASTIC STABILITY OF PRACTICAL MULTI - STOREY FRAMES. , 1967 .

[31]  J. Yura The effective length of columns in Unbraced frames , 1971 .

[32]  W. J. Lemessurier A Practical Method of Second Order Analysis , 1977 .

[33]  J. Dario Aristizabal-Ochoa Story Stability of Braced, Partially Braced, and Unbraced Frames: Classical Approach , 1997 .