Numerical modelling of behaviour of reinforced concrete columns in fire and comparison with Eurocode 2

The paper describes a two-step finite element formulation for the thermo-mechanical non-linear analysis of the behaviour of the reinforced concrete columns in fire. In the first step, the distributions of the temperature over the cross-section during fire are determined. In the next step, the mechanical analysis is made in which these distributions are used as the temperature loads. The analysis employs our new strain-based planar geometrically exact and materially non-linear beam finite elements to model the column. The results are compared with the measurements of the full-scale test on columns in fire and with the results of the European building code EC 2. The resistance times of the present method and the test were close. It is also noted that the building code EC 2 might be non-conservative in the estimation of the resistance time. (c) 2005 Elsevier Ltd. All rights reserved.

[1]  Ian Burgess,et al.  A generalised steel/reinforced concrete beam-column element model for fire conditions , 2003 .

[2]  X. Zha,et al.  Three-dimensional non-linear analysis of reinforced concrete members in fire , 2003 .

[3]  T. T. Lie,et al.  Method to Calculate the Fire Resistance of Reinforced Concrete Columns With Rectangular Cross Section , 1993 .

[4]  Pietro Croce,et al.  Assessing fire damage to r.c. elements , 2001 .

[5]  Jin-Cheng Zhao Application of the direct iteration method for non-linear analysis of steel frames in fire , 2000 .

[6]  Jean-Marc Franssen,et al.  Fire Tests and Calculation Methods for Circular Concrete Columns , 2003 .

[7]  T. Z. Harmathy,et al.  Fire safety design and concrete , 1993 .

[8]  Miran Saje,et al.  A consistent equilibrium in a cross-section of an elastic–plastic beam , 1999 .

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

[10]  Bruce R. Ellingwood,et al.  Flexure and Shear Behavior of Concrete Beams during Fires , 1991 .

[11]  G. Williams-leir,et al.  Creep of structural steel in fire: Analytical expressions , 1983 .

[12]  S. Thelandersson,et al.  Stress and Deformation Characteristics of Concrete at High Temperatures. 2. Experimental Investigation and Material Behaviour Model , 1976 .

[13]  Ian Burgess,et al.  Nonlinear Analysis of Reinforced Concrete Slabs Subjected to Fire , 1999 .

[14]  T. Wang,et al.  Predicting the fire resistance behaviour of high strength concrete columns , 2004 .

[15]  J. P. Roberts,et al.  Non-linear finite element model to predict temperature histories within reinforced concrete in fires , 1996 .

[16]  Ian Burgess,et al.  A nonlinear analysis for three-dimensional steel frames in fire conditions , 1996 .

[17]  Ulf Wickström,et al.  Comments on calculation of temperature in fire-exposed bare steel structures in prEN 1993-1-2: Eurocode 3—design of steel structures—Part 1–2: general rules—structural fire design , 2005 .

[18]  Goran Turk,et al.  Non-linear fire resistance analysis of reinforced concrete frames , 2001 .

[19]  E. Reissner On one-dimensional finite-strain beam theory: The plane problem , 1972 .

[20]  B Ellingwood,et al.  FLEXURAL AND SHEAR BEHAVIOR OF REINFORCED CONCRETE BEAMS DURING FIRE TESTS , 1988 .

[21]  Miran Saje,et al.  On the local stability condition in the planar beam finite element , 2001 .

[22]  T. T. Lie,et al.  FIRE RESISTANCE OF REINFORCED CONCRETE COLUMNS , 1992 .

[23]  T. T. Lie,et al.  METHOD TO CALCULATE THE FIRE RESISTANCE OF CIRCULAR REINFORCED CONCRETE COLUMNS , 1991 .

[24]  Bernard Bourret,et al.  FIRE SAFETY OF REINFORCED CONCRETE COLUMNS , 2000 .

[25]  Jean-Marc Franssen,et al.  Calculation Method for Design of Reinforced Concrete Columns under Fire Conditions , 1999 .

[26]  A W Beeby,et al.  CONCISE EUROCODE FOR THE DESIGN OF CONCRETE BUILDINGS. BASED ON BSI PUBLICATION DD ENV 1992-1-1: 1992. EUROCODE 2: DESIGN OF CONCRETE STRUCTURES. PART 1: GENERAL RULES AND RULES FOR BUILDINGS , 1993 .

[27]  C R Cruz APPARATUS FOR MEASURING CREEP OF CONCRETE AT HIGH TEMPERATURES , 1968 .