Dépouillements

Dod research and criteria for the design of buildings to resist progressive collapse / David Stevens in Journal of structural engineering, Vol. 137 N° 9 (Septembre 2011) 

Public ISBD [article]  in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 870-880 Titre : Dod research and criteria for the design of buildings to resist progressive collapse Type de document : texte imprimé Auteurs : David Stevens, Auteur ; Brian Crowder, Auteur ; Doug Sunshine, Auteur Année de publication : 2011 Article en page(s) : pp. 870-880 Note générale : Génie Civil Langues : Anglais (eng) Mots-clés : Progressive  collapse  Robustness  Structural  integrity  Design  criteria Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : The collapse of conventional/nonhardened structures was a concern of the U.S. Department of Defense (DoD) for years before the collapse of the World Trade Center (WTC) towers during the terrorist attacks on September 11, 2011 (9-11), owing to the bombings of the Murrah Federal Building in Oklahoma City, the U.S. embassies in Africa, and the U.S. Marine barracks in Lebanon. Since 9-11, motivated by the lack of any meaningful U.S. progressive collapse design requirements, DoD has worked with the civilian community on a number of significant efforts to improve the design of buildings to resist disproportionate collapse. The DoD efforts have included laboratory and field experiments, numerical simulations, and development of design requirements. Synergy and coordination with the civilian community resulted in combined programs with the General Services Administration, guidance and feedback provided by the ASCE Structural Engineering Institute (SEI) Committee on Disproportionate Collapse Standards and Guidance (DCSG) and its members, and adoption of some European civilian approaches to progressive collapse design. A significant result of the DoD effort was the creation of Unified Facilities Criteria (UFC) 4-023-03, Design of Buildings to Resist Progressive Collapse. The approaches employed in UFC 4-023-03 are currently being evaluated and modified for civilian applications by the SEI DCSG committee. The development and underlying approaches used in UFC 4-023-03 are briefly summarized in this paper, as are the previous DoD laboratory and field tests and numerical simulations. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p870_s1?bypassSSO=1 [article] Dod research and criteria for the design of buildings to resist progressive collapse [texte imprimé] / David Stevens, Auteur ; Brian Crowder, Auteur ; Doug Sunshine, Auteur . - 2011 . - pp. 870-880. Génie Civil Langues : Anglais (eng) in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 870-880 Mots-clés : Progressive  collapse  Robustness  Structural  integrity  Design  criteria Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : The collapse of conventional/nonhardened structures was a concern of the U.S. Department of Defense (DoD) for years before the collapse of the World Trade Center (WTC) towers during the terrorist attacks on September 11, 2011 (9-11), owing to the bombings of the Murrah Federal Building in Oklahoma City, the U.S. embassies in Africa, and the U.S. Marine barracks in Lebanon. Since 9-11, motivated by the lack of any meaningful U.S. progressive collapse design requirements, DoD has worked with the civilian community on a number of significant efforts to improve the design of buildings to resist disproportionate collapse. The DoD efforts have included laboratory and field experiments, numerical simulations, and development of design requirements. Synergy and coordination with the civilian community resulted in combined programs with the General Services Administration, guidance and feedback provided by the ASCE Structural Engineering Institute (SEI) Committee on Disproportionate Collapse Standards and Guidance (DCSG) and its members, and adoption of some European civilian approaches to progressive collapse design. A significant result of the DoD effort was the creation of Unified Facilities Criteria (UFC) 4-023-03, Design of Buildings to Resist Progressive Collapse. The approaches employed in UFC 4-023-03 are currently being evaluated and modified for civilian applications by the SEI DCSG committee. The development and underlying approaches used in UFC 4-023-03 are briefly summarized in this paper, as are the previous DoD laboratory and field tests and numerical simulations. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p870_s1?bypassSSO=1

Testing and analysis of steel and concrete beam-column assemblies under a column removal scenario / Sadek, Fahim in Journal of structural engineering, Vol. 137 N° 9 (Septembre 2011) 

Public ISBD [article]  in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 881-892 Titre : Testing and analysis of steel and concrete beam-column assemblies under a column removal scenario Type de document : texte imprimé Auteurs : Sadek, Fahim, Auteur ; Joseph A. Main, Auteur ; H. S. Lew, Auteur Année de publication : 2011 Article en page(s) : pp. 881-892 Note générale : Génie Civil Langues : Anglais (eng) Mots-clés : Buildings  Concrete  structures  Finite-element  method  Full-scale  tests  Nonlinear  analysis  Progressive  collapse  Seismic  design  Steel  structures Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper presents an experimental and computational assessment of the performance of steel and reinforced concrete beam-column assemblies under monotonic vertical displacement of a center column, simulating a column removal scenario. The assemblies represent portions of structural framing systems designed as intermediate moment frames (IMFs) and special moment frames (SMFs) for Seismic Design Categories C and D, respectively. The steel IMF and SMF assemblies were designed in accordance with ANSI/AISC 341-02 by using prequalified moment connections specified in FEMA 350. The concrete IMF and SMF assemblies were designed and detailed in accordance with ACI 318-02 requirements. Each full-scale assembly comprises two beam spans and three columns, and downward displacements of the center column are imposed until failure. The study provides insight into the behavior and failure modes of the assemblies, including the development of catenary action. Both detailed and reduced finite-element models are developed, which capture the primary response characteristics and failure modes. Analyses with the reduced models can be executed rapidly without loss of accuracy, facilitating implementation in models of entire structural systems. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p881_s1?bypassSSO=1 [article] Testing and analysis of steel and concrete beam-column assemblies under a column removal scenario [texte imprimé] / Sadek, Fahim, Auteur ; Joseph A. Main, Auteur ; H. S. Lew, Auteur . - 2011 . - pp. 881-892. Génie Civil Langues : Anglais (eng) in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 881-892 Mots-clés : Buildings  Concrete  structures  Finite-element  method  Full-scale  tests  Nonlinear  analysis  Progressive  collapse  Seismic  design  Steel  structures Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper presents an experimental and computational assessment of the performance of steel and reinforced concrete beam-column assemblies under monotonic vertical displacement of a center column, simulating a column removal scenario. The assemblies represent portions of structural framing systems designed as intermediate moment frames (IMFs) and special moment frames (SMFs) for Seismic Design Categories C and D, respectively. The steel IMF and SMF assemblies were designed in accordance with ANSI/AISC 341-02 by using prequalified moment connections specified in FEMA 350. The concrete IMF and SMF assemblies were designed and detailed in accordance with ACI 318-02 requirements. Each full-scale assembly comprises two beam spans and three columns, and downward displacements of the center column are imposed until failure. The study provides insight into the behavior and failure modes of the assemblies, including the development of catenary action. Both detailed and reduced finite-element models are developed, which capture the primary response characteristics and failure modes. Analyses with the reduced models can be executed rapidly without loss of accuracy, facilitating implementation in models of entire structural systems. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p881_s1?bypassSSO=1

Progressive collapse resistance of an actual 11-story structure subjected to severe initial damage / Mehrdad Sasani in Journal of structural engineering, Vol. 137 N° 9 (Septembre 2011) 

Public ISBD [article]  in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 893-902 Titre : Progressive collapse resistance of an actual 11-story structure subjected to severe initial damage Type de document : texte imprimé Auteurs : Mehrdad Sasani, Auteur ; Ali Kazemi, Auteur ; Serkan Sagiroglu, Auteur Année de publication : 2011 Article en page(s) : pp. 893-902 Note générale : Génie Civil Langues : Anglais (eng) Mots-clés : Progressive  collapse  Progressive  failure  Structural  failure  Collapse  Explosions  Beam  growth  Load  distribution  Load  resistance  Dynamic  response Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : Progressive collapse resistance of an actual 11-story reinforced concrete structure following severe initial damage is studied experimentally and analytically. The initial damage was caused by simultaneous explosion (removal) of four first-floor neighboring columns and two second-floor perimeter deep beam segments. The structure resisted progressive collapse with a maximum permanent vertical displacement at the top of the exploded columns of only about 56 mm (2.2 in.). The response of the structure is evaluated analytically using different modeling methods. Beam growth and, in turn, the development of the beam axial compressive force are modeled and discussed. It is demonstrated that such axial compressive force can significantly affect progressive collapse resistance of the structure. The shortcomings of nonlinear modeling with commonly used plastic hinges are quantified and discussed. It is shown that such a modeling method ignores axial and flexural interaction in beams and can underestimate the resisting element internal forces and in turn progressive collapse resistance of the structure. By using fiber hinges in an analytical model, such interaction is accounted for and the local and global experimental data are closely estimated. The progressive collapse-resisting mechanisms primarily include the axial-flexural action of the second-floor deep beams and Vierendeel action of the flat plate system in floors above. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p893_s1?bypassSSO=1 [article] Progressive collapse resistance of an actual 11-story structure subjected to severe initial damage [texte imprimé] / Mehrdad Sasani, Auteur ; Ali Kazemi, Auteur ; Serkan Sagiroglu, Auteur . - 2011 . - pp. 893-902. Génie Civil Langues : Anglais (eng) in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 893-902 Mots-clés : Progressive  collapse  Progressive  failure  Structural  failure  Collapse  Explosions  Beam  growth  Load  distribution  Load  resistance  Dynamic  response Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : Progressive collapse resistance of an actual 11-story reinforced concrete structure following severe initial damage is studied experimentally and analytically. The initial damage was caused by simultaneous explosion (removal) of four first-floor neighboring columns and two second-floor perimeter deep beam segments. The structure resisted progressive collapse with a maximum permanent vertical displacement at the top of the exploded columns of only about 56 mm (2.2 in.). The response of the structure is evaluated analytically using different modeling methods. Beam growth and, in turn, the development of the beam axial compressive force are modeled and discussed. It is demonstrated that such axial compressive force can significantly affect progressive collapse resistance of the structure. The shortcomings of nonlinear modeling with commonly used plastic hinges are quantified and discussed. It is shown that such a modeling method ignores axial and flexural interaction in beams and can underestimate the resisting element internal forces and in turn progressive collapse resistance of the structure. By using fiber hinges in an analytical model, such interaction is accounted for and the local and global experimental data are closely estimated. The progressive collapse-resisting mechanisms primarily include the axial-flexural action of the second-floor deep beams and Vierendeel action of the flat plate system in floors above. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p893_s1?bypassSSO=1

Response of reinforced concrete bridge columns subjected to blast loads / G. Daniel Williams in Journal of structural engineering, Vol. 137 N° 9 (Septembre 2011) 

Public ISBD [article]  in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 903-913 Titre : Response of reinforced concrete bridge columns subjected to blast loads Type de document : texte imprimé Auteurs : G. Daniel Williams, Auteur ; Williamson, Eric B., Auteur Année de publication : 2011 Article en page(s) : pp. 903-913 Note générale : Génie Civil Langues : Anglais (eng) Mots-clés : Blast  loads  Bridges  Computational  modeling  Terrorism Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : The vast majority of past research on blast-resistant structural design focuses on buildings, with limited attention directed specifically towards bridges. Although many of the same principles apply, bridges pose unique challenges that are not often encountered when designing buildings for blast resistance. Specifically, establishing standoff with bridges is difficult because they are intended to provide open access to the traveling public, and structural components are directly loaded rather than having loads transferred to them through a facade system. Thus, relative to buildings, bridge components may be exposed to large blast threats that can be in close proximity to the potential target. To address these unique challenges, experimental and computational research was carried out, through support from the National Cooperative Highway Research Program (NCHRP), to understand the behavior of blast-loaded concrete bridge members. Although spalling of concrete cover off the back of reinforced concrete walls subjected to blast loads is a well-understood phenomenon, specimens experimentally tested for the current research exhibited spalling of side-cover concrete, which previously has not been reported in the research literature. Using detailed finite-element models, this paper explains the cross-sectional response mechanisms that cause spalling of side-cover concrete in blast-loaded slender reinforced concrete members by numerically reproducing the behavior observed during the experimental testing program. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p903_s1?bypassSSO=1 [article] Response of reinforced concrete bridge columns subjected to blast loads [texte imprimé] / G. Daniel Williams, Auteur ; Williamson, Eric B., Auteur . - 2011 . - pp. 903-913. Génie Civil Langues : Anglais (eng) in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 903-913 Mots-clés : Blast  loads  Bridges  Computational  modeling  Terrorism Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : The vast majority of past research on blast-resistant structural design focuses on buildings, with limited attention directed specifically towards bridges. Although many of the same principles apply, bridges pose unique challenges that are not often encountered when designing buildings for blast resistance. Specifically, establishing standoff with bridges is difficult because they are intended to provide open access to the traveling public, and structural components are directly loaded rather than having loads transferred to them through a facade system. Thus, relative to buildings, bridge components may be exposed to large blast threats that can be in close proximity to the potential target. To address these unique challenges, experimental and computational research was carried out, through support from the National Cooperative Highway Research Program (NCHRP), to understand the behavior of blast-loaded concrete bridge members. Although spalling of concrete cover off the back of reinforced concrete walls subjected to blast loads is a well-understood phenomenon, specimens experimentally tested for the current research exhibited spalling of side-cover concrete, which previously has not been reported in the research literature. Using detailed finite-element models, this paper explains the cross-sectional response mechanisms that cause spalling of side-cover concrete in blast-loaded slender reinforced concrete members by numerically reproducing the behavior observed during the experimental testing program. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p903_s1?bypassSSO=1

Approximations in progressive collapse modeling / Alashker, Yasser in Journal of structural engineering, Vol. 137 N° 9 (Septembre 2011) 

Public ISBD [article]  in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 914-924 Titre : Approximations in progressive collapse modeling Type de document : texte imprimé Auteurs : Alashker, Yasser, Auteur ; Honghao Li, Auteur ; Sherif El-Tawil, Auteur Année de publication : 2011 Article en page(s) : pp. 914-924 Note générale : Génie Civil Langues : Anglais (eng) Mots-clés : Collapse  Model  Macro  model  Composite  Seismic  Steel  Failure Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : Assumptions must necessarily be made when the collapse response of structures is investigated using simulation models. The type and extent of modeling assumptions depend on the computational resources available, modeling expertise, and results sought. Modeling choices that are commonly made include planar versus three-dimensional (3D) representation, simplification of member response for modeling purposes, and the use of macroelements to mimic behavior instead of using elements that are based on fundamental constitutive relationships. Using four different types of models, this paper sheds light on the effect of some commonly employed approximations in collapse modeling. The models represent a 10-story seismically designed steel building and encompass computationally expedient planar and 3D macromodels as well as continuum models of individual frames and the full 3D structural system. After a validation exercise, the simulation models are exercised to investigate system collapse response when columns are forcibly removed and to highlight the effects of the various modeling approaches. The simulation studies show that the floor system contributes significantly to collapse response. It is also shown that well calibrated macromodels can be relied on for accuracy when modeling progressive collapse and that the results of planar analyses cannot always be viewed as conservative. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p914_s1?bypassSSO=1 [article] Approximations in progressive collapse modeling [texte imprimé] / Alashker, Yasser, Auteur ; Honghao Li, Auteur ; Sherif El-Tawil, Auteur . - 2011 . - pp. 914-924. Génie Civil Langues : Anglais (eng) in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 914-924 Mots-clés : Collapse  Model  Macro  model  Composite  Seismic  Steel  Failure Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : Assumptions must necessarily be made when the collapse response of structures is investigated using simulation models. The type and extent of modeling assumptions depend on the computational resources available, modeling expertise, and results sought. Modeling choices that are commonly made include planar versus three-dimensional (3D) representation, simplification of member response for modeling purposes, and the use of macroelements to mimic behavior instead of using elements that are based on fundamental constitutive relationships. Using four different types of models, this paper sheds light on the effect of some commonly employed approximations in collapse modeling. The models represent a 10-story seismically designed steel building and encompass computationally expedient planar and 3D macromodels as well as continuum models of individual frames and the full 3D structural system. After a validation exercise, the simulation models are exercised to investigate system collapse response when columns are forcibly removed and to highlight the effects of the various modeling approaches. The simulation studies show that the floor system contributes significantly to collapse response. It is also shown that well calibrated macromodels can be relied on for accuracy when modeling progressive collapse and that the results of planar analyses cannot always be viewed as conservative. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p914_s1?bypassSSO=1

Probabilistic robustness assessment of pre-northridge steel moment resisting frames / Xu, Guoqing in Journal of structural engineering, Vol. 137 N° 9 (Septembre 2011) 

Public ISBD [article]  in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 925-934 Titre : Probabilistic robustness assessment of pre-northridge steel moment resisting frames Type de document : texte imprimé Auteurs : Xu, Guoqing, Auteur ; Ellingwood, Bruce R., Auteur Année de publication : 2011 Article en page(s) : pp. 925-934 Note générale : Génie Civil Langues : Anglais (eng) Mots-clés : Buildings  (frames)  Connections  Disproportionate  (progressive)  collapse  Fracture  mechanics  Reliability  Robustness  Steel  frames  Structural  engineering Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper investigates the robustness of moment-resisting steel frames that are typical of building construction in seismic regions before the 1994 Northridge earthquake against progressive (disproportionate) collapse. Uncertainties in the collapse demands and the resisting capacities of the connections in the frames are modeled probabilistically. The dominant connection failure mode, which involves fracture of the weld connecting the beam and column flanges under scenarios involving sudden column loss, is developed using a J-integral formulation of fracture demand and is characterized probabilistically. The connection behavior model is validated using connection test data from the SAC Project on steel frames conducted following the Northridge earthquake. The robustness of two three-story steel frames designed in the SAC Project is assessed by utilizing (a) the requirements in the new Unified Facilities Criteria (UFC), and (b) a system reliability analysis. This analysis reveals that steel moment frames with connections similar to those found in pre-Northridge building construction may not meet the UFC requirements for general structural integrity following notional column removal. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p925_s1?bypassSSO=1 [article] Probabilistic robustness assessment of pre-northridge steel moment resisting frames [texte imprimé] / Xu, Guoqing, Auteur ; Ellingwood, Bruce R., Auteur . - 2011 . - pp. 925-934. Génie Civil Langues : Anglais (eng) in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 925-934 Mots-clés : Buildings  (frames)  Connections  Disproportionate  (progressive)  collapse  Fracture  mechanics  Reliability  Robustness  Steel  frames  Structural  engineering Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper investigates the robustness of moment-resisting steel frames that are typical of building construction in seismic regions before the 1994 Northridge earthquake against progressive (disproportionate) collapse. Uncertainties in the collapse demands and the resisting capacities of the connections in the frames are modeled probabilistically. The dominant connection failure mode, which involves fracture of the weld connecting the beam and column flanges under scenarios involving sudden column loss, is developed using a J-integral formulation of fracture demand and is characterized probabilistically. The connection behavior model is validated using connection test data from the SAC Project on steel frames conducted following the Northridge earthquake. The robustness of two three-story steel frames designed in the SAC Project is assessed by utilizing (a) the requirements in the new Unified Facilities Criteria (UFC), and (b) a system reliability analysis. This analysis reveals that steel moment frames with connections similar to those found in pre-Northridge building construction may not meet the UFC requirements for general structural integrity following notional column removal. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p925_s1?bypassSSO=1

Redundancy and robustness, or when is redundancy redundant? / Yoshihiro Kanno in Journal of structural engineering, Vol. 137 N° 9 (Septembre 2011) 

Public ISBD [article]  in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 935-945 Titre : Redundancy and robustness, or when is redundancy redundant? Type de document : texte imprimé Auteurs : Yoshihiro Kanno, Auteur ; Yakov Ben-Haim, Auteur Année de publication : 2011 Article en page(s) : pp. 935-945 Note générale : Génie Civil Langues : Anglais (eng) Mots-clés : Robustness  Redundancy  Info-gap  Uncertainty  Structural  integrity  Structural  degradation Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : The redundancy of a structure refers to the extent of degradation the structure can suffer without losing some specified elements of its functionality. However, because future structural degradation is unknown during design and analysis, it is evident that structural redundancy is related to robustness against uncertainty. This paper proposes a quantitative and widely applicable concept of strong redundancy and shows its relation to the info-gap robustness of the structure. In particular, one of this paper’s propositions establishes general conditions in which the strong redundancy is equivalent to the robustness. This paper also defines a concept of weak redundancy and presents propositions that relate it to the strong redundancy and the robustness. Results are illustrated with several heuristic and engineering examples. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p935_s1?bypassSSO=1 [article] Redundancy and robustness, or when is redundancy redundant? [texte imprimé] / Yoshihiro Kanno, Auteur ; Yakov Ben-Haim, Auteur . - 2011 . - pp. 935-945. Génie Civil Langues : Anglais (eng) in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 935-945 Mots-clés : Robustness  Redundancy  Info-gap  Uncertainty  Structural  integrity  Structural  degradation Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : The redundancy of a structure refers to the extent of degradation the structure can suffer without losing some specified elements of its functionality. However, because future structural degradation is unknown during design and analysis, it is evident that structural redundancy is related to robustness against uncertainty. This paper proposes a quantitative and widely applicable concept of strong redundancy and shows its relation to the info-gap robustness of the structure. In particular, one of this paper’s propositions establishes general conditions in which the strong redundancy is equivalent to the robustness. This paper also defines a concept of weak redundancy and presents propositions that relate it to the strong redundancy and the robustness. Results are illustrated with several heuristic and engineering examples. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p935_s1?bypassSSO=1

Postearthquake Ffre performance of sprayed fire-resistive material on steel moment frames / Nicole Leo Braxtan in Journal of structural engineering, Vol. 137 N° 9 (Septembre 2011) 

Public ISBD [article]  in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 946-953 Titre : Postearthquake Ffre performance of sprayed fire-resistive material on steel moment frames Type de document : texte imprimé Auteurs : Nicole Leo Braxtan, Auteur ; Stephen P. Pessiki, Auteur Année de publication : 2011 Article en page(s) : pp. 946-953 Note générale : Génie Civil Langues : Anglais (eng) Mots-clés : Fire  Earthquakes  Damage  Steel  frames  Sprayed  fire  resistive  material Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper describes damage patterns in sprayed fire resistive material (SFRM) on steel moment frame beam-column assemblages owing to a strong seismic event, and the thermal consequences of this damage when exposed to postearthquake fire. Large-scale experimental tests were performed to examine the bond of SFRM to steel in the three-dimensional configuration of a moment frame beam-column connection region. Two beam-column assemblages treated with SFRM were subject to quasi-static cyclic loading, resulting in large deformations and plastic hinges in the beam and local damage to the SFRM on the beam. Heat transfer finite-element analyses were performed to compare beam-column connections with damaged SFRM and fully insulated connections (with no damage) under the action of both standard and natural fires. Results of the heat transfer analyses show that SFRM damage on the beams adjacent to the column causes an increase in heat transferred into the column and elevated temperatures in the column. The elevated temperatures in the column cause important reductions in strength and stiffness of the steel. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p946_s1?bypassSSO=1 [article] Postearthquake Ffre performance of sprayed fire-resistive material on steel moment frames [texte imprimé] / Nicole Leo Braxtan, Auteur ; Stephen P. Pessiki, Auteur . - 2011 . - pp. 946-953. Génie Civil Langues : Anglais (eng) in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 946-953 Mots-clés : Fire  Earthquakes  Damage  Steel  frames  Sprayed  fire  resistive  material Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper describes damage patterns in sprayed fire resistive material (SFRM) on steel moment frame beam-column assemblages owing to a strong seismic event, and the thermal consequences of this damage when exposed to postearthquake fire. Large-scale experimental tests were performed to examine the bond of SFRM to steel in the three-dimensional configuration of a moment frame beam-column connection region. Two beam-column assemblages treated with SFRM were subject to quasi-static cyclic loading, resulting in large deformations and plastic hinges in the beam and local damage to the SFRM on the beam. Heat transfer finite-element analyses were performed to compare beam-column connections with damaged SFRM and fully insulated connections (with no damage) under the action of both standard and natural fires. Results of the heat transfer analyses show that SFRM damage on the beams adjacent to the column causes an increase in heat transferred into the column and elevated temperatures in the column. The elevated temperatures in the column cause important reductions in strength and stiffness of the steel. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p946_s1?bypassSSO=1

Fundamental behavior of steel beam-columns and columns under fire loading / Lisa Choe in Journal of structural engineering, Vol. 137 N° 9 (Septembre 2011) 

Public ISBD [article]  in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 954-966 Titre : Fundamental behavior of steel beam-columns and columns under fire loading : experimental evaluation Type de document : texte imprimé Auteurs : Lisa Choe, Auteur ; Amit H. Varma, Auteur ; Anil Agarwal, Auteur Année de publication : 2011 Article en page(s) : pp. 954-966 Note générale : Génie Civil Langues : Anglais (eng) Mots-clés : Fire  Elevated  temperatures  Steel  column  Steel  beam-column  Experiment  Design  Heat Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper presents the results of experimental investigations conducted to determine the fundamental behavior of steel members under fire loading. A total of eleven full-scale steel members were tested under combined thermal and structural loading. First, five A992 steel beam-columns (W10×68) were tested to determine their fundamental moment-curvature responses at elevated temperatures and different axial load levels. The experimental approach involved the use of radiant heating and control equipment to apply the thermal loading, and close-range photogrammetry combined with digital image processing techniques to measure the deformations (curvature) in the heated zone. Next, six A992 steel wide-flange (W8×35 and W14×53) columns were tested to determine their inelastic buckling behavior and axial load-displacement responses at elevated temperatures. A self-reacting test frame was designed to subject the column specimens to axial loading and heating. The thermal loading was applied by using the same type of radiant heating and control equipment as the beam-column specimens. The measured behaviors (and strengths) of the tested beam-column and columns specimens are presented and then compared with those obtained from detailed 3D finite-element analyses. The experimental investigations showed that the fundamental behavior and strength of steel members is governed mostly by the steel surface temperature, and the strength and stiffness of steel columns decreases significantly with increasing temperatures, particularly in the range from 500–600°C. The elevated temperature behavior of steel members can be predicted reasonably by using detailed 3D finite-element models. These verified models are recommended for conducting analytical parametric studies. The experimental approaches are recommended for evaluating the fire behavior of other structural members and loading conditions. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p954_s1?bypassSSO=1 [article] Fundamental behavior of steel beam-columns and columns under fire loading : experimental evaluation [texte imprimé] / Lisa Choe, Auteur ; Amit H. Varma, Auteur ; Anil Agarwal, Auteur . - 2011 . - pp. 954-966. Génie Civil Langues : Anglais (eng) in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 954-966 Mots-clés : Fire  Elevated  temperatures  Steel  column  Steel  beam-column  Experiment  Design  Heat Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper presents the results of experimental investigations conducted to determine the fundamental behavior of steel members under fire loading. A total of eleven full-scale steel members were tested under combined thermal and structural loading. First, five A992 steel beam-columns (W10×68) were tested to determine their fundamental moment-curvature responses at elevated temperatures and different axial load levels. The experimental approach involved the use of radiant heating and control equipment to apply the thermal loading, and close-range photogrammetry combined with digital image processing techniques to measure the deformations (curvature) in the heated zone. Next, six A992 steel wide-flange (W8×35 and W14×53) columns were tested to determine their inelastic buckling behavior and axial load-displacement responses at elevated temperatures. A self-reacting test frame was designed to subject the column specimens to axial loading and heating. The thermal loading was applied by using the same type of radiant heating and control equipment as the beam-column specimens. The measured behaviors (and strengths) of the tested beam-column and columns specimens are presented and then compared with those obtained from detailed 3D finite-element analyses. The experimental investigations showed that the fundamental behavior and strength of steel members is governed mostly by the steel surface temperature, and the strength and stiffness of steel columns decreases significantly with increasing temperatures, particularly in the range from 500–600°C. The elevated temperature behavior of steel members can be predicted reasonably by using detailed 3D finite-element models. These verified models are recommended for conducting analytical parametric studies. The experimental approaches are recommended for evaluating the fire behavior of other structural members and loading conditions. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p954_s1?bypassSSO=1

Closed-form procedure for predicting the capacity and demand of steel beam-columns under fire / Spencer E. Quiel in Journal of structural engineering, Vol. 137 N° 9 (Septembre 2011) 

Public ISBD [article]  in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 967-976 Titre : Closed-form procedure for predicting the capacity and demand of steel beam-columns under fire Type de document : texte imprimé Auteurs : Spencer E. Quiel, Auteur ; Maria E. Moreyra Garlock, Auteur ; Ignacio Paya-Zaforteza, Auteur Année de publication : 2011 Article en page(s) : pp. 967-976 Note générale : Génie Civil Langues : Anglais (eng) Mots-clés : Fire  Beam-columns  Performance-based  Steel  design  Perimeter  column Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : During a fire, columns on the perimeter of a building will be subject to moments induced by both a thermal gradient and the restraint of axial expansion by adjacent heated beams, which themselves develop axial load. These members thus act as beam-columns because they are then subject to a combination of axial load plus moment caused by a combination of gravity plus thermal loading. This paper presents a two-pronged procedure to predict the behavior of the perimeter column as a beam-column, considering both the individual member response (including thermal gradients) and the global response (including the interactions of adjacent members). All methods discussed in the paper are closed-form (i.e., they require no iteration) and can therefore be solved by using a spreadsheet or simple mathematical algorithm. The framework is sufficiently simple for use in codified structural-fire design and could be included in a reference of performance-based analysis methods for steel structures. Although this paper specifically addresses the performance of columns on the perimeter of buildings, the proposed framework can be a blueprint for the performance-based analysis of other beam-columns, such as floor beams. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p967_s1?bypassSSO=1 [article] Closed-form procedure for predicting the capacity and demand of steel beam-columns under fire [texte imprimé] / Spencer E. Quiel, Auteur ; Maria E. Moreyra Garlock, Auteur ; Ignacio Paya-Zaforteza, Auteur . - 2011 . - pp. 967-976. Génie Civil Langues : Anglais (eng) in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 967-976 Mots-clés : Fire  Beam-columns  Performance-based  Steel  design  Perimeter  column Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : During a fire, columns on the perimeter of a building will be subject to moments induced by both a thermal gradient and the restraint of axial expansion by adjacent heated beams, which themselves develop axial load. These members thus act as beam-columns because they are then subject to a combination of axial load plus moment caused by a combination of gravity plus thermal loading. This paper presents a two-pronged procedure to predict the behavior of the perimeter column as a beam-column, considering both the individual member response (including thermal gradients) and the global response (including the interactions of adjacent members). All methods discussed in the paper are closed-form (i.e., they require no iteration) and can therefore be solved by using a spreadsheet or simple mathematical algorithm. The framework is sufficiently simple for use in codified structural-fire design and could be included in a reference of performance-based analysis methods for steel structures. Although this paper specifically addresses the performance of columns on the perimeter of buildings, the proposed framework can be a blueprint for the performance-based analysis of other beam-columns, such as floor beams. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p967_s1?bypassSSO=1

Failure assessment of lightly reinforced floor slabs. I, Experimental investigation / K. A. Cashell in Journal of structural engineering, Vol. 137 N° 9 (Septembre 2011) 

Public ISBD [article]  in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 977-988 Titre : Failure assessment of lightly reinforced floor slabs. I, Experimental investigation Type de document : texte imprimé Auteurs : K. A. Cashell, Auteur ; Elghazouli, A. Y., Auteur ; B. A. Izzuddin, Auteur Année de publication : 2011 Article en page(s) : pp. 977-988 Note générale : Génie Civil Langues : Anglais (eng) Mots-clés : Composite  steel/concrete  Composite  slabs  Lightly  reinforced  members  Failure  conditions  Ductility  Reinforcement  fracture Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper is concerned with the ultimate behavior of lightly reinforced concrete floor slabs under extreme loading conditions. Particular emphasis is given to examining the failure conditions of idealized composite slabs which become lightly reinforced in a fire situation as a result of the early loss of the steel deck. An experimental study is described which focuses on the response of two-way spanning floor slabs with various materials and geometric configurations. The tests enable direct assessment of the influence of a number of key parameters such as the reinforcement type, properties, and ratio on the ultimate response. The results also permit the development of simplified expressions that capture the influence of salient factors such as bond characteristics and reinforcement properties for predicting the ductility of lightly reinforced floor slabs. The companion paper complements the experimental observations with detailed numerical assessments of the ultimate response and proposes analytical models that predict failure of slab members by either reinforcement fracture or compressive crushing of concrete. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p977_s1?bypassSSO=1 [article] Failure assessment of lightly reinforced floor slabs. I, Experimental investigation [texte imprimé] / K. A. Cashell, Auteur ; Elghazouli, A. Y., Auteur ; B. A. Izzuddin, Auteur . - 2011 . - pp. 977-988. Génie Civil Langues : Anglais (eng) in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 977-988 Mots-clés : Composite  steel/concrete  Composite  slabs  Lightly  reinforced  members  Failure  conditions  Ductility  Reinforcement  fracture Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper is concerned with the ultimate behavior of lightly reinforced concrete floor slabs under extreme loading conditions. Particular emphasis is given to examining the failure conditions of idealized composite slabs which become lightly reinforced in a fire situation as a result of the early loss of the steel deck. An experimental study is described which focuses on the response of two-way spanning floor slabs with various materials and geometric configurations. The tests enable direct assessment of the influence of a number of key parameters such as the reinforcement type, properties, and ratio on the ultimate response. The results also permit the development of simplified expressions that capture the influence of salient factors such as bond characteristics and reinforcement properties for predicting the ductility of lightly reinforced floor slabs. The companion paper complements the experimental observations with detailed numerical assessments of the ultimate response and proposes analytical models that predict failure of slab members by either reinforcement fracture or compressive crushing of concrete. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p977_s1?bypassSSO=1

Failure assessment of lightly reinforced floor slabs. II, Analytical studies / K. A. Cashell in Journal of structural engineering, Vol. 137 N° 9 (Septembre 2011) 

Public ISBD [article]  in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 989-1001 Titre : Failure assessment of lightly reinforced floor slabs. II, Analytical studies Type de document : texte imprimé Auteurs : K. A. Cashell, Auteur ; Elghazouli, A. Y., Auteur ; B. A. Izzuddin, Auteur Année de publication : 2011 Article en page(s) : pp. 989-1001 Note générale : Génie Civil Langues : Anglais (eng) Mots-clés : Composite  steel/concrete  Composite  slabs  Lightly  reinforced  members  Failure  conditions  Ductility  Reinforcement  fracture  Nonlinear  analysis Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper describes numerical and analytical assessments of the ultimate response of floor slabs. Simplified analytical models and finite-element simulations are described and validated against the experimental results presented in the companion paper. The simplified analytical model accounts for membrane action and the underlying mechanisms related to failure of floor slabs by either reinforcement rupture or compressive crushing of the concrete. In this respect, the significant influence of material properties, including bond strength, is considered in the model and described in detail. A detailed nonlinear finite-element model is also employed to provide further verification of the simplified approach and to facilitate further understanding of the overall response. The results and observations of this study offer an insight into the key factors that govern the ultimate behavior. Finally, the models are applied under elevated temperature conditions to demonstrate their general applicability and reliability. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p989_s1?bypassSSO=1 [article] Failure assessment of lightly reinforced floor slabs. II, Analytical studies [texte imprimé] / K. A. Cashell, Auteur ; Elghazouli, A. Y., Auteur ; B. A. Izzuddin, Auteur . - 2011 . - pp. 989-1001. Génie Civil Langues : Anglais (eng) in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 989-1001 Mots-clés : Composite  steel/concrete  Composite  slabs  Lightly  reinforced  members  Failure  conditions  Ductility  Reinforcement  fracture  Nonlinear  analysis Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper describes numerical and analytical assessments of the ultimate response of floor slabs. Simplified analytical models and finite-element simulations are described and validated against the experimental results presented in the companion paper. The simplified analytical model accounts for membrane action and the underlying mechanisms related to failure of floor slabs by either reinforcement rupture or compressive crushing of the concrete. In this respect, the significant influence of material properties, including bond strength, is considered in the model and described in detail. A detailed nonlinear finite-element model is also employed to provide further verification of the simplified approach and to facilitate further understanding of the overall response. The results and observations of this study offer an insight into the key factors that govern the ultimate behavior. Finally, the models are applied under elevated temperature conditions to demonstrate their general applicability and reliability. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p989_s1?bypassSSO=1

Experimental evaluation of thin composite floor assemblies under fire loading / Emily I. Wellman in Journal of structural engineering, Vol. 137 N° 9 (Septembre 2011) 

Public ISBD [article]  in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 1002-1016 Titre : Experimental evaluation of thin composite floor assemblies under fire loading Type de document : texte imprimé Auteurs : Emily I. Wellman, Auteur ; Amit H. Varma, Auteur ; Rustin Fike, Auteur Année de publication : 2011 Article en page(s) : pp. 1002-1016 Note générale : Génie Civil Langues : Anglais (eng) Mots-clés : Floor  Fire  Composite  Connection  Fire  protection  Slab,  Failure  Composite  beam  Bolt Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper presents the behavior observations, results, and findings from experimental investigations of the structural behavior of thin composite floor systems subjected to combined gravity loads and fire loading. The 3.96×4.57  m floor systems consisted of A992 steel W10×15 interior beams and W12×16 girders acting composite with a 38.1-mm-deep ribbed steel deck with 63.5 mm of lightweight concrete on top. Three composite floor-assembly specimens were tested with two different shear connection types (welded-bolted shear tab and all-bolted double-angle connection), two different fire scenarios (realistic fires with standard heating and uncontrolled or controlled cooling paths), and two different fire protection scenarios (i.e., interior beams with or without fire protection). The experimental results indicate that removal of fireproofing from the interior beams causes them to heat, deflect, and fail more rapidly. The beams and girders have similar deflection-versus-temperature behaviors irrespective of the fireproofing on the interior beams. The thin lightweight composite slab used in these tests contributes significantly to the load transfer from the interior beams to the girders, but it does not seem to be able to support the interior beams once they started failing. Removing the fire protection from the interior beams of thin lightweight composite slabs such as those tested in this paper is not recommended, unless better behavior can be demonstrated through future tests that include effects of neighboring floor systems. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p1002_s1?bypassSSO=1 [article] Experimental evaluation of thin composite floor assemblies under fire loading [texte imprimé] / Emily I. Wellman, Auteur ; Amit H. Varma, Auteur ; Rustin Fike, Auteur . - 2011 . - pp. 1002-1016. Génie Civil Langues : Anglais (eng) in Journal of structural engineering > Vol. 137 N° 9 (Septembre 2011) . - pp. 1002-1016 Mots-clés : Floor  Fire  Composite  Connection  Fire  protection  Slab,  Failure  Composite  beam  Bolt Index. décimale : 624 Constructions du génie civil et du bâtiment. Infrastructures. Ouvrages en terres. Fondations. Tunnels. Ponts et charpentes Résumé : This paper presents the behavior observations, results, and findings from experimental investigations of the structural behavior of thin composite floor systems subjected to combined gravity loads and fire loading. The 3.96×4.57  m floor systems consisted of A992 steel W10×15 interior beams and W12×16 girders acting composite with a 38.1-mm-deep ribbed steel deck with 63.5 mm of lightweight concrete on top. Three composite floor-assembly specimens were tested with two different shear connection types (welded-bolted shear tab and all-bolted double-angle connection), two different fire scenarios (realistic fires with standard heating and uncontrolled or controlled cooling paths), and two different fire protection scenarios (i.e., interior beams with or without fire protection). The experimental results indicate that removal of fireproofing from the interior beams causes them to heat, deflect, and fail more rapidly. The beams and girders have similar deflection-versus-temperature behaviors irrespective of the fireproofing on the interior beams. The thin lightweight composite slab used in these tests contributes significantly to the load transfer from the interior beams to the girders, but it does not seem to be able to support the interior beams once they started failing. Removing the fire protection from the interior beams of thin lightweight composite slabs such as those tested in this paper is not recommended, unless better behavior can be demonstrated through future tests that include effects of neighboring floor systems. DEWEY : 624.17 ISSN : 0733-9445 En ligne : http://ascelibrary.org/sto/resource/1/jsendh/v137/i9/p1002_s1?bypassSSO=1

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