Shrinkage influence on tension stiffening in concrete members

Abstract Most known tension stiffening relationships have been derived using test data of shrunk reinforced concrete members. Therefore, tension stiffening was coupled with shrinkage effect. The paper discusses the influence of shrinkage and accompanying creep on tension stiffening of tension and bending concrete members subjected to short-term loading. Based on numerical experiments, a simple transformation formula has been proposed for eliminating shrinkage from tension stiffening relationships of tension and symmetrically reinforced bending members. For asymmetrically reinforced members, a more sophisticated procedure based on the earlier proposed inverse technique has been applied. Using experimental moment–curvature diagrams, the tension stiffening relationships were iteratively calculated for the extreme tensile concrete fibre. The shrinkage effect was eliminated by assuming a reverse shrinkage strain. Based on the proposed techniques, free-of-shrinkage tension stiffening relationships were derived from shrunk tension and bending RC members reported in the literature.

[1]  Jamshid Ghaboussi,et al.  Stress-Strain Relations for Cracked Tensile Concrete from RC Beam Tests , 2001 .

[2]  Benoît Bissonnette,et al.  Tensile Creep of Concrete: Study of Its Sensitivity to Basic Parameters , 2007 .

[3]  Peter H. Bischoff,et al.  Tension Stiffening and Cracking of High-Strength Reinforced Concrete Tension Members , 2004 .

[4]  Gintaris Kaklauskas,et al.  State-of-art Review on Shrinkage Effect on Cracking and Deformations of Concrete Bridge Elements , 2007 .

[5]  R. Gilbert,et al.  Tension stiffening in lightly reinforced concrete slabs , 2007 .

[6]  W. Dilger,et al.  Creep of plain and structural concrete , 1983 .

[7]  Antonio Ricardo Marí Bernat,et al.  Coupled model for the non-linear analysis of anisotropic sections subjected to general 3D loading. Part 1: Theoretical formulation , 2006 .

[8]  Amin Ghali,et al.  Concrete Structures: Stresses and Deformations , 1994 .

[9]  Hyo-Gyoung Kwak,et al.  Material nonlinear analysis of RC shear walls subject to monotonic loadings , 2004 .

[10]  Evan C. Bentz,et al.  Explaining the Riddle of Tension Stiffening Models for Shear Panel Experiments , 2005 .

[11]  Peter H. Bischoff.  Discussion of “Tension Stiffening in Lightly Reinforced Concrete Slabs” by R. Ian Gilbert , 2008 .

[12]  Koichi Maekawa,et al.  Computational model for post cracking analysis of RC membrane elements based on local stress–strain characteristics , 2003 .

[13]  G. Kaklauskas.  INTEGRAL CONSTITUTIVE MODEL FOR DEFORMATIONAL ANALYSIS OF FLEXURAL REINFORCED CONCRETE MEMBERS , 2001 .

[14]  Henriette Lebre La Rovere,et al.  AN EFFICIENT TENSION STIFFENING MODEL FOR NONLINEAR ANALYSIS OF REINFORCED CONCRETE MEMBERS , 2008 .

[15]  G. L. Balázs,et al.  Models for flexural cracking in concrete: the state of the art , 2005 .

[16]  Salah Khalfallah,et al.  Tension stiffening bond modelling of cracked flexural reinforced concrete beams , 2008 .

[17]  Ippei Maruyama,et al.  Flexural Behavior of Reinforced Recycled Concrete Beams , 2007 .

[18]  V. Gribniak,et al.  Discussion of "Tension Stiffening in Lightly Reinforced Concrete Slabs" , 2008 .

[19]  Viktor Gribniak,et al.  SHRINKAGE IN REINFORCED CONCRETE STRUCTURES: A COMPUTATIONAL ASPECT/BETONO TRAUKIMOSI ĮTAKA GELŽBETONINIŲ ELEMENTŲ ELGSENAI: SKAIČIAVIMO YPATUMAI , 2008 .

[20]  S. D. Lash.  Ultimate Strength and Cracking Resistance of Lightly Reinforced Beams , 1953 .

[21]  Gintaris Kaklauskas,et al.  Discussion of "Tension Stiffening in Lightly Reinforced Concrete Slabs" , 2008 .

[22]  Zdenek P. Bazant,et al.  Prediction of Concrete Creep Effects Using Age-Adjusted Effective Modulus Method , 1972 .

[23]  Andrew Scanlon,et al.  Shrinkage Restraint and Loading History Effects on Deflections of Flexural Members , 2008 .

[24]  A. Belarbi,et al.  Constitutive Laws of Concrete in Tension and Reinforcing Bars Stiffened By Concrete , 1994 .

[25]  Gintaris Kaklauskas,et al.  Discussion of "Tension Stiffening Model for Concrete Beams Reinforced with Steel and FRP Bars" , 2007 .

[26]  A Ghali,et al.  CONCRETE STRUCTURES: STRESSES AND DEFORMATIONS, SECOND EDITION , 1994 .

[27]  Peter H. Bischoff,et al.  Effects of shrinkage on tension stiffening and cracking in reinforced concrete , 2001 .

[28]  David Z. Yankelevsky,et al.  One-dimensional analysis of tension stiffening in reinforced concrete with discrete cracks , 2008 .

[29]  R. Ian Gilbert,et al.  Deflection Calculation for Reinforced Concrete Structures—Why We Sometimes Get It Wrong , 1999 .

[30]  Z. Bažant,et al.  Crack band theory for fracture of concrete , 1983 .

[31]  Gintaris Kaklauskas,et al.  Flexural layered deformational model of reinforced concrete members , 2004 .

[32]  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 .

[33]  R I Gilbert,et al.  Time Effects in Concrete Structures , 1988 .