Local Buckling Analysis of Longitudinal Reinforcing Bars

The local buckling behavior of longitudinal reinforcing steel, which occurs between two transverse hoops, is examined using rational mechanics, taking into account the full plastic behavior of the steel and the effects of true stress and strain. A computational fiber element analysis is used to compute the coupled effect of axial compression and lateral buckling. The results of the computational analysis are then used to develop a simple model for the compressive behavior of longitudinal reinforcing steel in engineering stress-strain coordinates. Although several models exist that are capable of predicting compressive behavior with a moderate degree of precision, these models are generally computationally intensive and therefore of little practical use to structural designers. Other existing simple models either have a high degree of built-in empiricism or are based on overly simplified assumptions about the plastic behavior of the steel. The minimalist model developed in this study is compared with available experimental results. A statistical study shows favorable correlation between the proposed analytical model and experimental results.

[1]  F. R. Shanley Inelastic Column Theory , 1947 .

[2]  Giorgio Monti,et al.  Nonlinear Cyclic Behavior of Reinforcing Bars Including Buckling , 1992 .

[3]  Koichi Maekawa,et al.  Path-dependent cyclic stress-strain relationship of reinforcing bar including buckling , 2002 .

[4]  John B. Mander,et al.  SEISMIC DESIGN OF BRIDGE PIERS , 1984 .

[5]  Julio Appleton,et al.  Nonlinear cyclic stress-strain relationship of reinforcing bars including buckling , 1997 .

[6]  L. L. Dodd,et al.  MODEL FOR PREDICTING CYCLIC BEHAVIOR OF REINFORCING STEEL , 1995 .

[7]  B. Bresler,et al.  Tie Requirements for Reinforced Concrete Columns , 1961 .

[8]  S. Pantazopoulou,et al.  Slenderness effects on the simulated response of longitudinal reinforcement in monotonic compression , 2006 .

[9]  John B. Mander,et al.  Seismic Energy Based Fatigue Damage Analysis of Bridge Columns: Part 1 - Evaluation of Seismic Capacity , 1994 .

[10]  Leonardo M. Massone,et al.  Buckling modeling of reinforcing bars with imperfections , 2009 .

[11]  C. Urmson,et al.  Ultimate Limit State Response of Reinforced Concrete Columns for Use in Performance-Based Analysis and Design , 2010 .

[12]  R. Dhakal,et al.  Modeling for Postyield Buckling of Reinforcement , 2002 .

[13]  Jose J. Gonzalez,et al.  Failure of reinforcing concrete steel ribbed bars , 2006 .

[14]  Mario E. Rodriguez,et al.  Cyclic Stress-Strain Behavior of Reinforcing Steel Including Effect of Buckling , 1999 .

[15]  John B. Mander,et al.  Low-Cycle Fatigue Behavior of Reinforcing Steel , 1994 .

[16]  S. Mau EFFECT OF TIE SPACING ON INELASTIC BUCKLING OF REINFORCING BARS , 1990 .

[17]  Sashi K. Kunnath,et al.  Nonlinear Uniaxial Material Model for Reinforcing Steel Bars , 2009 .

[18]  A. Dutta,et al.  Capacity design and fatigue analysis of confined concrete columns. Technical report , 1998 .

[19]  Oguzhan Bayrak,et al.  Plastic hinge analysis , 2001 .

[20]  Oguzhan Bayrak,et al.  INELASTIC BUCKLING OF REINFORCING BARS , 2005 .

[21]  S T Mau,et al.  Inelastic buckling of reinforcing bars , 1989 .

[22]  Koichi Maekawa,et al.  Reinforcement Stability and Fracture of Cover Concrete in Reinforced Concrete Members , 2002 .