A New Method for Defining the Optimal Separation Gap Distance and the Acceptable Structural Pounding Risk on Multistory RC Structures
A proposal to control the structural pounding hazard imposed on multistory reinforced concrete (RC) structures is presented. The main goal is to guarantee the seismic performance of a structure with an acceptable (predefined) risk-targeted parameter without the need to eliminate structural pounding...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/14/3/1165 |
| _version_ | 1827354832106684416 |
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| author | Maria G. Flenga Maria J. Favvata |
| author_facet | Maria G. Flenga Maria J. Favvata |
| author_sort | Maria G. Flenga |
| collection | DOAJ |
| description | A proposal to control the structural pounding hazard imposed on multistory reinforced concrete (RC) structures is presented. The main goal is to guarantee the seismic performance of a structure with an acceptable (predefined) risk-targeted parameter without the need to eliminate structural pounding collisions. The key target parameters of this study are the annual probability of exceeding an engineering demand parameter (EDP) capacity level and the separation distance d<sub>g</sub> between adjacent structures. In this direction, a method that ensures the performance level of critical EDPs due to structural pounding conditions is proposed. The new method involves two decision frameworks that define (a) the optimal separation gap distance <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mfenced separators="|"><mrow><msubsup><mrow><mi mathvariant="normal">d</mi></mrow><mrow><mi mathvariant="normal">g</mi><mo>,</mo><mi mathvariant="normal">m</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">n</mi></mrow><mrow><msub><mrow><mi mathvariant="normal">P</mi></mrow><mrow><mi mathvariant="normal">t</mi></mrow></msub></mrow></msubsup></mrow></mfenced></mrow></semantics></math></inline-formula> at a targeted value of pounding risk (probability per year) P<sub>t</sub> (Decision A) and (b) the minimum acceptable structural pounding risk <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi mathvariant="normal">P</mi></mrow><mrow><mi mathvariant="normal">m</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">n</mi></mrow><mrow><msub><mrow><mi mathvariant="normal">d</mi></mrow><mrow><mi mathvariant="normal">g</mi><mo>,</mo><mi mathvariant="normal">t</mi></mrow></msub></mrow></msubsup></mrow></semantics></math></inline-formula> at a targeted value of separation gap distance d<sub>g,t</sub> (Decision B). The demand parameters that are incorporated in the proposed method are the peak relative displacement δ<sub>max</sub> at the top level of colliding without considering pounding conditions and any other critical EDP due to the structural pounding effect. The overall method is based on two distinct acceptable performance objectives, the POs-δ<sub>max</sub> and the POs-EDP, defined as a function of P vs. d<sub>g</sub>. For this purpose, a seismic hazard curve compatible with Eurocode’s 8 hazard zone is adopted, and the corresponding demand hazard curves of δ<sub>max</sub> and EDP are developed. The proposed method is implemented to study the floor-to-floor structural pounding hazard of an eight-story RC frame taking into account different risk-targeted scenarios. The results show that the seismic risk (probability per year) of exceeding the EDP’s capacity level is significantly increased due to structural pounding in comparison to the case of no pounding. Calibration of the structural pounding risk can be obtained by adjusting the separation gap distance d<sub>g</sub> between the adjacent structures based on the acceptable POs. The POs-δ<sub>max</sub> is not always an accurate criterion for verifying the capacity level of the critical EDP. Finally, with the proposed method, a variety of POs-EDPs can be used to control the structural pounding risk in terms of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi mathvariant="normal">d</mi></mrow><mrow><mi mathvariant="normal">g</mi><mo>,</mo><mi mathvariant="normal">m</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">n</mi></mrow><mrow><msub><mrow><mi mathvariant="normal">P</mi></mrow><mrow><mi mathvariant="normal">t</mi></mrow></msub></mrow></msubsup></mrow></semantics></math></inline-formula> and/or <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi mathvariant="normal">P</mi></mrow><mrow><mi mathvariant="normal">m</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">n</mi></mrow><mrow><msub><mrow><mi mathvariant="normal">d</mi></mrow><mrow><mi mathvariant="normal">g</mi><mo>,</mo><mi mathvariant="normal">t</mi></mrow></msub></mrow></msubsup></mrow></semantics></math></inline-formula>. |
| first_indexed | 2024-03-08T04:00:18Z |
| format | Article |
| id | doaj.art-29cfea33153245fa844631fa5a0c0f12 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-08T04:00:18Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-29cfea33153245fa844631fa5a0c0f122024-02-09T15:08:05ZengMDPI AGApplied Sciences2076-34172024-01-01143116510.3390/app14031165A New Method for Defining the Optimal Separation Gap Distance and the Acceptable Structural Pounding Risk on Multistory RC StructuresMaria G. Flenga0Maria J. Favvata1Civil Engineering Department, University of Patras, 26504 Patras, GreeceCivil Engineering Department, University of Patras, 26504 Patras, GreeceA proposal to control the structural pounding hazard imposed on multistory reinforced concrete (RC) structures is presented. The main goal is to guarantee the seismic performance of a structure with an acceptable (predefined) risk-targeted parameter without the need to eliminate structural pounding collisions. The key target parameters of this study are the annual probability of exceeding an engineering demand parameter (EDP) capacity level and the separation distance d<sub>g</sub> between adjacent structures. In this direction, a method that ensures the performance level of critical EDPs due to structural pounding conditions is proposed. The new method involves two decision frameworks that define (a) the optimal separation gap distance <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mfenced separators="|"><mrow><msubsup><mrow><mi mathvariant="normal">d</mi></mrow><mrow><mi mathvariant="normal">g</mi><mo>,</mo><mi mathvariant="normal">m</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">n</mi></mrow><mrow><msub><mrow><mi mathvariant="normal">P</mi></mrow><mrow><mi mathvariant="normal">t</mi></mrow></msub></mrow></msubsup></mrow></mfenced></mrow></semantics></math></inline-formula> at a targeted value of pounding risk (probability per year) P<sub>t</sub> (Decision A) and (b) the minimum acceptable structural pounding risk <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi mathvariant="normal">P</mi></mrow><mrow><mi mathvariant="normal">m</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">n</mi></mrow><mrow><msub><mrow><mi mathvariant="normal">d</mi></mrow><mrow><mi mathvariant="normal">g</mi><mo>,</mo><mi mathvariant="normal">t</mi></mrow></msub></mrow></msubsup></mrow></semantics></math></inline-formula> at a targeted value of separation gap distance d<sub>g,t</sub> (Decision B). The demand parameters that are incorporated in the proposed method are the peak relative displacement δ<sub>max</sub> at the top level of colliding without considering pounding conditions and any other critical EDP due to the structural pounding effect. The overall method is based on two distinct acceptable performance objectives, the POs-δ<sub>max</sub> and the POs-EDP, defined as a function of P vs. d<sub>g</sub>. For this purpose, a seismic hazard curve compatible with Eurocode’s 8 hazard zone is adopted, and the corresponding demand hazard curves of δ<sub>max</sub> and EDP are developed. The proposed method is implemented to study the floor-to-floor structural pounding hazard of an eight-story RC frame taking into account different risk-targeted scenarios. The results show that the seismic risk (probability per year) of exceeding the EDP’s capacity level is significantly increased due to structural pounding in comparison to the case of no pounding. Calibration of the structural pounding risk can be obtained by adjusting the separation gap distance d<sub>g</sub> between the adjacent structures based on the acceptable POs. The POs-δ<sub>max</sub> is not always an accurate criterion for verifying the capacity level of the critical EDP. Finally, with the proposed method, a variety of POs-EDPs can be used to control the structural pounding risk in terms of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi mathvariant="normal">d</mi></mrow><mrow><mi mathvariant="normal">g</mi><mo>,</mo><mi mathvariant="normal">m</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">n</mi></mrow><mrow><msub><mrow><mi mathvariant="normal">P</mi></mrow><mrow><mi mathvariant="normal">t</mi></mrow></msub></mrow></msubsup></mrow></semantics></math></inline-formula> and/or <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi mathvariant="normal">P</mi></mrow><mrow><mi mathvariant="normal">m</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">n</mi></mrow><mrow><msub><mrow><mi mathvariant="normal">d</mi></mrow><mrow><mi mathvariant="normal">g</mi><mo>,</mo><mi mathvariant="normal">t</mi></mrow></msub></mrow></msubsup></mrow></semantics></math></inline-formula>.https://www.mdpi.com/2076-3417/14/3/1165structural poundingseparation distanceMAFprobability per yearpounding riskperformance objective |
| spellingShingle | Maria G. Flenga Maria J. Favvata A New Method for Defining the Optimal Separation Gap Distance and the Acceptable Structural Pounding Risk on Multistory RC Structures Applied Sciences structural pounding separation distance MAF probability per year pounding risk performance objective |
| title | A New Method for Defining the Optimal Separation Gap Distance and the Acceptable Structural Pounding Risk on Multistory RC Structures |
| title_full | A New Method for Defining the Optimal Separation Gap Distance and the Acceptable Structural Pounding Risk on Multistory RC Structures |
| title_fullStr | A New Method for Defining the Optimal Separation Gap Distance and the Acceptable Structural Pounding Risk on Multistory RC Structures |
| title_full_unstemmed | A New Method for Defining the Optimal Separation Gap Distance and the Acceptable Structural Pounding Risk on Multistory RC Structures |
| title_short | A New Method for Defining the Optimal Separation Gap Distance and the Acceptable Structural Pounding Risk on Multistory RC Structures |
| title_sort | new method for defining the optimal separation gap distance and the acceptable structural pounding risk on multistory rc structures |
| topic | structural pounding separation distance MAF probability per year pounding risk performance objective |
| url | https://www.mdpi.com/2076-3417/14/3/1165 |
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