Biaxial deformation and ductility domains for engineered rectangular RC cross-sections: A parametric study highlighting the positive roles of axial load, geometry and materials

Abstract Axial load and biaxial bending strongly influence the deformation capacity of column cross-sections, in most cases causing a non-negligible loss of curvature and ductility with respect to the case of pure bending along principal axes, commonly assumed as the basic condition to assess the inelastic capacity. In consideration of this the paper investigates the biaxial deformation performance of RC rectangular cross-sections belonging to one-dimensional elements, focusing on the influence of some parameters as the cross-section aspect ratio and the distribution of the rebars, as well as the mechanical characteristics of concrete and steel and the impact of biaxial/axial stresses. In the paper ultimate curvature domains, yielding curvature domains and ductility domains as novel assessment tools are provided. The deformation performance of the cross-sections, represented by the above domains, is discussed through a parametric study on the sensitivity of the domain shape to the major governing geometrical and mechanical factors. Further the role of axial load in terms of capability to level out the deformation capacity associated to different planes of bending is highlighted. Finally, a definition of specific biaxial ductility indicators is provided. The latter are proposed as measures to classify the biaxial deformation capacity associated with rectangular RC cross-sections for an engineered design.

[1]  R. Park,et al.  Flexural Members with Confined Concrete , 1971 .

[2]  Vassilis K. Papanikolaou,et al.  Analysis of arbitrary composite sections in biaxial bending and axial load , 2012 .

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

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

[5]  Leonard Spiegel,et al.  Reinforced Concrete Design , 1980 .

[6]  Jin-Keun Kim,et al.  The Behavior of Reinforced Concrete Columns Subjected to Axial Force and Biaxial Bending , 2000 .

[7]  R. Park,et al.  Stress-Strain Behavior of Concrete Confined by Overlapping Hoops at Low and High Strain Rates , 1982 .

[8]  Maurizio Papia,et al.  Dimensionless analysis of RC rectangular sections under axial load and biaxial bending , 2012 .

[9]  James L Noland,et al.  Computer-Aided Structural Engineering (CASE) Project: Decision Logic Table Formulation of ACI (American Concrete Institute) 318-77 Building Code Requirements for Reinforced Concrete for Automated Constraint Processing. Volume 1. , 1986 .

[10]  Humberto Varum,et al.  Behaviour of reinforced concrete column under biaxial cyclic loading—state of the art , 2013 .

[11]  T. Paulay,et al.  Reinforced Concrete Structures , 1975 .

[12]  A. W. Beeby,et al.  Designers Guide to EN 1992-1-1 and EN 1992-1-2 Eurocode 2: Design of Concrete Structures. General rules and rules for buildings and structural fire design , 2005 .

[13]  B. Bresler Design Criteria for Reinforced Columns under Axial Load and Biaxial Bending , 1960 .

[15]  Manuel L. Romero,et al.  Analytical Approach to Failure Surfaces in Reinforced Concrete Sections Subjected to Axial Loads and Biaxial Bending , 2004 .

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

[17]  R Hulse,et al.  Reinforced Concrete Design by Computer , 1987 .