Seismic fragilities of non-ductile reinforced concrete frames with consideration of soil structure interaction

Abstract Seismic fragilities of buildings are often developed without consideration of soil-structure interaction (SSI), where base of the building is assumed to be fixed. This study highlights effect of SSI and uncertainty in soil properties such as friction angle, cohesion, density, shear modulus and Poisson's ratio and foundation parameters on seismic fragilities of non-ductile reinforced concrete frames resting in dense silty sand. Three-, five-, and nine-storey three-bay moment resisting reinforced concrete frames resting on isolated shallow foundation are studied and the numerical models for SSI are developed in OpenSees. Three sets of 10 ground motions, with mean spectrum of 100, 500, and 1000 yr return period hazard level (matching EC-8 design spectrum), are used for the nonlinear time history analyses. An optimized Latin Hyper Cube sampling technique is used to draw the sample of soil properties and foundation parameters. The fragilities are developed for the fixed base model and SSI models. However, the fragilities that incorporate the soil parameter and foundation uncertainties are only slightly different from those based solely on the uncertainty in seismic demand from earthquake ground motion, suggesting that fragilities that are developed under the assumption that all soil and foundation parameters at their median (or mean) values are sufficient for the purpose of earthquake damage or loose estimation of structures resting on dense silty sand. But the consideration of the SSI effect has the significant influence on the fragilities compare to the fixed base model. The structural parameter uncertainty and foundation modeling uncertainty are not considered in the study.

[1]  J. Mander,et al.  Theoretical stress strain model for confined concrete , 1988 .

[2]  Roberto Villaverde,et al.  Effect of Building Nonlinearity on Seismic Response of Nonstructural Components: A Parametric Study , 2008 .

[3]  James O. Jirsa,et al.  Behavior of concrete under compressive loadings , 1969 .

[4]  Shahram Sarkani,et al.  Response variability for a structure with soil-structure interactions and uncertain soil properties , 2000 .

[5]  Prishati Raychowdhury,et al.  Performance evaluation of a nonlinear Winkler‐based shallow foundation model using centrifuge test results , 2009 .

[6]  Fatemeh Jalayer,et al.  A scalar damage measure for seismic reliability analysis of RC frames , 2007 .

[7]  S. C. Dutta,et al.  Response of low-rise buildings under seismic ground excitation incorporating soil-structure interaction , 2004 .

[8]  Charisis Chatzigogos,et al.  Macroelement modeling of shallow foundations , 2008, 0802.0425.

[9]  Robert Tibshirani,et al.  Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy , 1986 .

[10]  J. W. Meek,et al.  Dynamic behaviour of building‐foundation systems , 1974 .

[11]  Denys Breysse,et al.  A GENERIC APPROACH TO SOIL-STRUCTURE INTERACTION CONSIDERING THE EFFECTS OF SOIL HETEROGENEITY , 2005 .

[12]  C. Allin Cornell,et al.  Probabilistic Basis for 2000 SAC Federal Emergency Management Agency Steel Moment Frame Guidelines , 2002 .

[13]  Pedro Arduino,et al.  Estimation of Uncertainty in Geotechnical Properties for Performance-Based Earthquake Engineering , 2002 .

[14]  Jeong‐Soo Park.  Optimal Latin-hypercube designs for computer experiments , 1994 .

[15]  Tara C. Hutchinson,et al.  Beam-on-Nonlinear-Winkler-Foundation Modeling of Shallow, Rocking-Dominated Footings , 2009 .

[16]  Prishati Raychowdhury,et al.  Effect of soil parameter uncertainty on seismic demand of low-rise steel buildings on dense silty sand , 2009 .

[17]  M. Hesham El Naggar,et al.  An investigation into the Winkler modeling of the cyclic response of rigid footings , 2008 .

[18]  Solomon Tesfamariam,et al.  Seismic Vulnerability Assessment of Reinforced Concrete Buildings Using Hierarchical Fuzzy Rule Base Modeling , 2010 .

[19]  George Gazetas,et al.  SEISMIC SOIL-STRUCTURE INTERACTION: BENEFICIAL OR DETRIMENTAL? , 2000 .

[20]  Ali Massumi,et al.  A SIMPLIFIED METHOD TO DETERMINE SEISMIC RESPONSES OF REINFORCED CONCRETE MOMENT RESISTING BUILDING FRAMES UNDER INFLUENCE OF SOIL–STRUCTURE INTERACTION , 2010 .

[21]  Jonathan P. Stewart,et al.  SEISMIC SOIL-STRUCTURE INTERACTION IN BUILDINGS. I: ANALYTICAL METHODS , 1999 .

[22]  Paolo Franchin,et al.  Increased Accuracy of Vector-IM-Based Seismic Risk Assessment? , 2008 .

[23]  Luis Eduardo Pérez-Rocha,et al.  Soil–structure interaction in yielding systems , 2003 .

[24]  George Gazetas,et al.  Footings under seismic loading: Analysis and design issues with emphasis on bridge foundations , 2006 .

[25]  Anestis S. Veletsos,et al.  Seismic Interaction of Structures on Hysteretic Foundations , 1975 .

[26]  Anil K. Chopra,et al.  Simplified Earthquake Analysis of Structures with Foundation Uplift , 1985 .

[27]  Stefano Pampanin,et al.  Probabilistic evaluation of soil–foundation–structure interaction effects on seismic structural response , 2011 .

[28]  Vitelmo V. Bertero,et al.  Evaluation of Strength Reduction Factors for Earthquake-Resistant Design , 1994 .

[29]  Fernando Lopez-Caballero,et al.  EFFECT OF THE INELASTIC DYNAMIC SOIL–STRUCTURE INTERACTION ON THE SEISMIC VULNERABILITY ASSESSMENT , 2011 .

[30]  Mario E. Rodriguez,et al.  Seismic response and damage analysis of buildings supported on flexible soils , 2000 .

[31]  Prishati Raychowdhury,et al.  Nonlinear Winkler-based shallow foundation model for performance assessment of seismically loaded structures , 2008 .

[32]  Jacobo Bielak,et al.  Dynamics of building-soil interaction , 1973, Bulletin of the Seismological Society of America.

[33]  Daniel W. Wilson,et al.  Seismic Soil-Pile-Structure Interaction Experiments and Analyses , 1999 .

[34]  Marcello Ciampoli,et al.  Effects of Soil-Structure Interaction on Inelastic Seismic Response of Bridge Piers , 1995 .

[35]  Ioannis N. Psycharis.  Investigation of the dynamic response of rigid footings on tensionless Winkler foundation , 2008 .

[36]  Bruce R. Ellingwood,et al.  Seismic fragilities for non-ductile reinforced concrete frames – Role of aleatoric and epistemic uncertainties , 2010 .

[37]  George Gazetas,et al.  Soil-Structure Interaction Effects on Elastic and Inelastic Structures , 2001 .

[38]  Shahram Sarkani,et al.  Response variability of an SSI system with uncertain structural and soil properties , 2000 .