Reliability-based load factors for airblast and structural reliability of reinforced concrete columns for protective structures

Abstract Reliability-based design allows the decision-maker to select the level of reliability for a specific explosive blast loading scenario. Important to this is an understanding of airblast and resistance uncertainty. Reliability-based load factors are calculated and are dependent on the variability of model error, explosive mass and range. Reliability-based design load factors (RBDFs) are estimated for explosive ordnance, terrorism, weaponeering and other scenarios. The effect of RBDFs on structural reliabilities for reinforced concrete (RC) columns is then calculated where resistance and loading are random variables, and compared to target values. It was found, for realistic combinations of range and explosive mass variabilities, that RC columns designed to existing standards have a significant margin of safety with a probability of failure of 1 × 10−3 to 1 × 10−5. However, if there is large airblast variability, then the application of RBDFs is necessary to ensure that safety levels are acceptable according to international standards.

[1]  Bruce R. Ellingwood,et al.  Mitigating Risk from Abnormal Loads and Progressive Collapse , 2006 .

[2]  Mark G. Stewart,et al.  Life-safety risks and optimisation of protective measures against terrorist threats to infrastructure , 2011 .

[3]  Sher Ali Mirza,et al.  Variations in Dimensions of Reinforced Concrete Members , 1979 .

[4]  John W. Tatom,et al.  Approved Methods and Algorithms for DoD Risk-Based Explosives Siting , 2009 .

[5]  Mark G. Stewart,et al.  Reliability-based load factor design model for explosive blast loading , 2018 .

[6]  Bruce Ellingwood,et al.  Development of a probability based load criterion for American National Standard A58 , 1980 .

[7]  Hong Hao,et al.  Numerical derivation of pressure-impulse diagrams for prediction of RC column damage to blast loads , 2008 .

[8]  Ernesto Salzano,et al.  Comparison of the Explosion Thermodynamics of TNT and Black Powder Using Le Chatelier Diagrams , 2012 .

[9]  Mark G. Stewart,et al.  Reliability-Based Design Load Factors for Explosive Blast Loading , 2015 .

[10]  Christopher D. Eamon.  Reliability of Concrete Masonry Unit Walls Subjected to Explosive Loads , 2007 .

[11]  Mark G. Stewart,et al.  Risk of progressive collapse of buildings from terrorist attacks: are the benefits of protection worth the cost? , 2017 .

[12]  Dimitrios Vamvatsikos,et al.  Simplified fragility-based risk analysis for impulse governed blast loading scenarios , 2016 .

[13]  Hong Hao,et al.  Reliability Analysis of RC Columns and Frame with FRP Strengthening Subjected to Explosive Loads , 2016 .

[14]  Andrew L. Stigler.  Terror, Security, and Money: Balancing the Risks, Benefits, and Costs of Homeland Security , 2012 .

[15]  Valerio Cozzani,et al.  Vulnerability of industrial facilities to attacks with improvised explosive devices aimed at triggering domino scenarios , 2015, Reliab. Eng. Syst. Saf..

[16]  Dimitrios Vamvatsikos,et al.  Safety factor for structural elements subjected to impulsive blast loads , 2017 .

[17]  Stephen J. Foster,et al.  Calibration of Australian Standard AS3600 Concrete Structures: part I statistical analysis of material properties and model error , 2016 .

[18]  Hong Hao,et al.  RC Column Failure Probabilities to Blast Loads , 2010 .

[19]  Paulo J. S. Cruz,et al.  Probabilistic models for mechanical properties of concrete, reinforcing steel and pre-stressing steel , 2012 .

[20]  Mark G. Stewart,et al.  Spatial reliability analysis of explosive blast load damage to reinforced concrete columns , 2015 .

[21]  Hong Hao,et al.  Three-dimensional numerical modelling of concrete-like materials subjected to dynamic loadings , 2012 .

[22]  Ian Feltham,et al.  7 Design of elements in reinforced concrete and masonry , 2009 .

[23]  Pierluigi Olmati,et al.  Fragility analysis for the Performance-Based Design of cladding wall panels subjected to blast load , 2014 .

[24]  Robby Caspeele,et al.  Partial factor methods for existing concrete structures , 2016 .

[25]  Mark G. Stewart,et al.  The effects of explosive blast load variability on safety hazard and damage risks for monolithic window glazing , 2009 .

[26]  C. Hillebrand.  Chasing ghosts: the policing of terrorism , 2017 .

[27]  Wael W. El-Dakhakhni,et al.  Inference of Blast Wavefront Parameter Uncertainty for Probabilistic Risk Assessment , 2015 .

[28]  Mark G. Stewart,et al.  Damage and risk assessment for reinforced concrete wall panels subjected to explosive blast loading , 2015 .

[29]  Robert H. Sues,et al.  Reliability-based design methods for protective structures☆ , 1994 .

[30]  Donald O. Dusenberry,et al.  Handbook for Blast-Resistant Design of Buildings , 2010 .

[31]  CampidelliM.,et al.  Reliability-based load factors for blast design1 , 2013 .

[32]  C. Martin.  2015 , 2015, Les 25 ans de l’OMC: Une rétrospective en photos.

[33]  Richard G. Little,et al.  Cost-effective Strategies to Address Urban Terrorism: A Risk Management Approach , 2007 .

[34]  Mark G. Stewart,et al.  Blast Load Variability and Accuracy of Blast Load Prediction Models , 2010 .

[35]  Xxyyzz,et al.  Design of Blast Resistant Buildings in Petrochemical Facilities , 1997 .

[36]  M. Reinhard.  Blast And Ballistic Loading Of Structures , 2016 .

[37]  Mark G. Stewart,et al.  Modelling improvised explosive device attacks in the West - Assessing the hazard , 2017, Reliab. Eng. Syst. Saf..

[38]  Stephen J. Foster,et al.  Calibration of Australian Standard AS3600 concrete structures part II: reliability indices and changes to capacity reduction factors , 2016 .

[39]  Sam E. Rigby,et al.  TNT equivalence of C-4 and PE4: a review of traditional sources and recent data , 2016 .

[40]  Denis Kelliher,et al.  Stochastic representation of blast load damage in a reinforced concrete building , 2012 .

[41]  Mark G. Stewart,et al.  Probabilistic Risk Assessment for Improvised Explosive Device Attacks That Cause Significant Building Damage , 2015 .

[42]  Mark G. Stewart,et al.  Cost Effectiveness of Risk Mitigation Strategies for Protection of Buildings against Terrorist Attack , 2008 .

[43]  P.S.Bulson.  Explosive loading of engineering structures , 1997 .