A model for the practical nonlinear analysis of reinforced-concrete frames including joint flexibility

Abstract A model is developed to simulate the nonlinear response of planar reinforced-concrete frames including all sources of flexibility. Conventional modeling approaches consider only beam and column flexibility using concentrated plasticity or springs to model this response. Although the joint may contribute the majority of the deformation, its deformability is typically not included in practice. In part, this is because few reliable, practical approaches for modeling all sources of frame nonlinearity are available. The research presented herein was undertaken to develop a practical, accurate nonlinear model for reinforced concrete frames. The model is appropriate for predicting the earthquake response of planar frames for which the nonlinearity is controlled by yielding of beams and/or non-ductile response of joints and is compatible with the ASCE/SEI Standard 41-06 nonlinear static procedure. The model was developed to facilitate implementation in commercial software packages commonly used for this type of nonlinear analysis. The nonlinearity is simulated by introducing a dual-hinge lumped-plasticity beam element to model the beams framing into the joint. The dual-hinge comprises two rotational springs in series; one spring simulates beam flexural response and one spring simulates joint response. Hinge parameters were determined using data from 45 planar frame sub-assemblage tests. Application of the model to simulate the response of these sub-assemblages shows that the model provides accurate simulation of stiffness, strength, drift capacity and response mechanism for frames with a wide range of design parameters.

[1]  W. K. Tso,et al.  Modeling bond-slip deformations in reinforced concrete beam-column joints , 2000 .

[2]  Dawn E. Lehman,et al.  Lumped-Plasticity Models for Performance Simulation of Bridge Columns , 2008 .

[3]  Myoungsu Shin,et al.  Modeling of cyclic joint shear deformation contributions in RC beam-column connections to overall frame behavior , 2004 .

[4]  Laura N. Lowes,et al.  Evaluation, calibration, and verification of a reinforced concrete beam-column joint model , 2007 .

[5]  Michael H. Scott,et al.  Plastic Hinge Integration Methods for Force-Based Beam¿Column Elements , 2006 .

[6]  R. Park,et al.  A comparison of the behaviour of reinforced concrete beam-column joints designed for ductility and limited ductility , 1988 .

[7]  Ahmed Ghobarah,et al.  Dynamic analysis of reinforced concrete frames including joint shear deformation , 1999 .

[8]  M. Priestley,et al.  Ductility of Square-Confined Concrete Columns , 1982 .

[9]  S. El-Metwally,et al.  Moment-Rotation Modeling of Reinforced Concrete Beam-Column Connections , 1988 .

[10]  James G. MacGregor,et al.  Reinforced Concrete: Mechanics and Design , 1996 .

[11]  Ahmed Ghobarah,et al.  Strength Deterioration due to Bond Slip and Concrete Crushing in Modeling of Reinforced Concrete Members , 1999 .

[12]  John F. Stanton,et al.  A cyclic shear stress-strain model for joints without transverse reinforcement , 2008 .

[13]  L. Lowes,et al.  Modeling Reinforced-Concrete Beam-Column Joints Subjected to Cyclic Loading , 2003 .

[14]  J. F. Bonacci,et al.  On earthquake-resistant reinforced concrete frame connections , 1994 .

[15]  Sergio M. Alcocer,et al.  Overview of the Revised ACI-ASCE 352 Committee Recommendations for Design of Beam-Column Connections in Monolithic Reinforced Concrete Structures , 2001 .

[16]  Hiroyuki Aoyama,et al.  EARTHQUAKE RESISTANT DESIGN CRITERIA FOR REINFORCED CONCRETE INTERIOR BEAM-COLUMN JOINTS , 1987 .

[17]  F. Filippou,et al.  Geometrically Nonlinear Flexibility-Based Frame Finite Element , 1998 .

[18]  L. Lowes,et al.  Fragility Functions for Older Reinforced Concrete Beam-Column Joints , 2006 .

[19]  Hitoshi Shiohara,et al.  A new macro element of reinforced concrete beam-column joint for elasto-plastic plane frame analysis , 2006 .

[20]  W. Corley Rotational Capacity of Reinforced Concrete Beams , 1966 .