Analysis of arbitrary composite sections in biaxial bending and axial load

A new methodology is presented for the ultimate strength and moment-curvature analysis of arbitrary composite sections under biaxial bending and axial load. The definition of section geometry and material properties can be unconditionally complex, based on an object-oriented implementation. Stress integration is performed using a Green path integral, with an adaptive strain-mapped Gaussian sampling. Derivative-free solution strategies for the calculation of incremental and ultimate response are applied. Results are presented in the form of moment-curvature curves, ultimate strength interaction curves and 3D failure surfaces. The performance of the methodology is demonstrated through various case studies, comparisons and benchmarks.

[1]  M. G. Sfakianakis,et al.  Biaxial bending with axial force of reinforced, composite and repaired concrete sections of arbitrary shape by fiber model and computer graphics , 2002 .

[2]  J. Y. Richard Yen.  QUASI-NEWTON METHOD FOR REINFORCED-CONCRETE COLUMN ANALYSIS AND DESIGN , 1991 .

[3]  S. Chan,et al.  Biaxial bending design of arbitrarily shaped reinforced concrete column , 1993 .

[4]  W. H. Tsao,et al.  A nonlinear computer analysis of biaxially loaded L-shaped slender reinforced concrete columns , 1993 .

[5]  J. Dario Aristizabal-Ochoa,et al.  Biaxial Interaction Diagrams for Short RC Columns of Any Cross Section , 1999 .

[6]  Miran Saje,et al.  Analytical integration of stress field and tangent material moduli over concrete cross-sections , 2005 .

[7]  Enrico Spacone,et al.  FIBRE BEAM–COLUMN MODEL FOR NON‐LINEAR ANALYSIS OF R/C FRAMES: PART I. FORMULATION , 1996 .

[8]  R. Brent.  Table errata: Algorithms for minimization without derivatives (Prentice-Hall, Englewood Cliffs, N. J., 1973) , 1975 .

[9]  P. Léger,et al.  Multicriteria Capacity Envelopes for Biaxial Bending of Concrete Hydraulic Structures , 2010 .

[10]  Troels Brondum-Nielsen.  Ultimate Flexural Capacity of Cracked Polygonal Concrete Sections under Biaxial Bending , 1985 .

[11]  João Batista M. Sousa,et al.  Analytical integration of cross section properties for numerical analysis of reinforced concrete, steel and composite frames , 2007 .

[12]  S. F. Chen,et al.  DESIGN OF BIAXIALLY LOADED SHORT COMPOSITE COLUMNS OF ARBITRARY SECTION , 2001 .

[13]  Luis Pallarés,et al.  A numerical method to design reinforced concrete sections subjected to axial forces and biaxial bending based on ultimate strain limits , 2009 .

[14]  K. H. Kwan,et al.  COMPUTERIZED ULTIMATE STRENGTH ANALYSIS OF REINFORCED CONCRETE SECTIONS SUBJECTED TO AXIAL COMPRESSION AND BIAXIAL BENDING , 1985 .

[15]  A. E. Charalampakis,et al.  Full plastic capacity of equal angle sections under biaxial bending and normal force , 2011 .

[16]  Apostolos Fafitis,et al.  Interaction Surfaces of Reinforced-Concrete Sections in Biaxial Bending , 2001 .

[17]  C. G. Chiorean.  Computerised interaction diagrams and moment capacity contours for composite steel–concrete cross-sections , 2010 .

[18]  A. E. Charalampakis,et al.  Ultimate strength analysis of composite sections under biaxial bending and axial load , 2008, Adv. Eng. Softw..

[19]  Luciano Rosati,et al.  Ultimate strength analysis of reinforced concrete sections subject to axial force and biaxial bending , 1998 .

[20]  C. Dundar,et al.  Arbitrarily shaped reinforced concrete members subject to biaxial bending and axial load , 1993 .

[21]  Víctor Yepes,et al.  Heuristic optimization of RC bridge piers with rectangular hollow sections , 2010 .

[22]  K. Roik,et al.  Design method for composite columns with unsymmetrical cross-sections , 1990 .

[23]  H. Saadatmanesh,et al.  RC Beams Strengthened with FRP Plates. II: Analysis and Parametric Study , 1991 .

[24]  Richard W. Furlong,et al.  Ultimate Strength of Square Columns Under Biaxially Eccentric Loads , 1961 .

[25]  Luciano Rosati,et al.  Enhanced solution strategies for the ultimate strength analysis of composite steel-concrete sections subject to axial force and biaxial bending , 2008 .

[26]  G. Alfano,et al.  An unconditionally convergent algorithm for the evaluation of the ultimate limit state of RC sections subject to axial force and biaxial bending , 2007 .

[27]  S. Popovics.  A numerical approach to the complete stress-strain curve of concrete , 1973 .

[28]  Manuel L. Romero,et al.  A fast stress integration algorithm for reinforced concrete sections with axial loads and biaxial bending , 2004 .