A hybrid deterministic-probabilistic approach for the characteristic crack widths and crack spacings in reinforced concrete tension and flexural members
•Proposes new hybrid deterministic-probabilistic model for cracking.•Quantifies impact of randomness in crack spacing.•Quantifies impact of variation in material properties along span.•Calibrated on using more than 4000 test observations.•Allows designer to select probability of exceedance. Crack co...
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Veröffentlicht in: | Engineering structures 2022-04, Vol.256, p.114071, Article 114071 |
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creator | Sturm, A.B. Visintin, P. Bennett, B. |
description | •Proposes new hybrid deterministic-probabilistic model for cracking.•Quantifies impact of randomness in crack spacing.•Quantifies impact of variation in material properties along span.•Calibrated on using more than 4000 test observations.•Allows designer to select probability of exceedance.
Crack control is an important serviceability design criterion for reinforced concrete members. In this paper a new model is proposed that directly incorporates the deterministic and probabilistic aspects of cracking behaviour. The approach defines the minimum crack spacing and the relationship between crack-spacing and crack-width as a function of the bond between the reinforcement and the concrete using partial-interaction mechanics. This deterministic model is then used as a basis for a probabilistic analysis to identify mean crack-spacing and crack-width allowing for uncertainty in the deterministic model. The fitted variables are estimated using a Bayesian approach drawing upon 463 observations of crack-spacing and 3409 observations of crack-width. Using the hybrid deterministic-probabilistic model the importance of spatial variability of material properties is identified and simulated. The probability distributions for the mean crack spacing and the distribution of cracks are then combined to give parsimonious expressions for the characteristic crack-spacing according to a specified probability of exceedance. The same approach is then applied to determine the characteristic crack-width. |
doi_str_mv | 10.1016/j.engstruct.2022.114071 |
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Crack control is an important serviceability design criterion for reinforced concrete members. In this paper a new model is proposed that directly incorporates the deterministic and probabilistic aspects of cracking behaviour. The approach defines the minimum crack spacing and the relationship between crack-spacing and crack-width as a function of the bond between the reinforcement and the concrete using partial-interaction mechanics. This deterministic model is then used as a basis for a probabilistic analysis to identify mean crack-spacing and crack-width allowing for uncertainty in the deterministic model. The fitted variables are estimated using a Bayesian approach drawing upon 463 observations of crack-spacing and 3409 observations of crack-width. Using the hybrid deterministic-probabilistic model the importance of spatial variability of material properties is identified and simulated. The probability distributions for the mean crack spacing and the distribution of cracks are then combined to give parsimonious expressions for the characteristic crack-spacing according to a specified probability of exceedance. The same approach is then applied to determine the characteristic crack-width.</description><identifier>ISSN: 0141-0296</identifier><identifier>EISSN: 1873-7323</identifier><identifier>DOI: 10.1016/j.engstruct.2022.114071</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>Bayesian analysis ; Concrete ; Design criteria ; Material properties ; Probabilistic analysis ; Probabilistic models ; Reinforced concrete ; Statistical analysis</subject><ispartof>Engineering structures, 2022-04, Vol.256, p.114071, Article 114071</ispartof><rights>2022 Elsevier Ltd</rights><rights>Copyright Elsevier BV Apr 1, 2022</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c343t-289d5e100f364beed847ed476611b4322b589157b7fe47f1db156275205744d63</citedby><cites>FETCH-LOGICAL-c343t-289d5e100f364beed847ed476611b4322b589157b7fe47f1db156275205744d63</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.engstruct.2022.114071$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>Sturm, A.B.</creatorcontrib><creatorcontrib>Visintin, P.</creatorcontrib><creatorcontrib>Bennett, B.</creatorcontrib><title>A hybrid deterministic-probabilistic approach for the characteristic crack widths and crack spacings in reinforced concrete tension and flexural members</title><title>Engineering structures</title><description>•Proposes new hybrid deterministic-probabilistic model for cracking.•Quantifies impact of randomness in crack spacing.•Quantifies impact of variation in material properties along span.•Calibrated on using more than 4000 test observations.•Allows designer to select probability of exceedance.
Crack control is an important serviceability design criterion for reinforced concrete members. In this paper a new model is proposed that directly incorporates the deterministic and probabilistic aspects of cracking behaviour. The approach defines the minimum crack spacing and the relationship between crack-spacing and crack-width as a function of the bond between the reinforcement and the concrete using partial-interaction mechanics. This deterministic model is then used as a basis for a probabilistic analysis to identify mean crack-spacing and crack-width allowing for uncertainty in the deterministic model. The fitted variables are estimated using a Bayesian approach drawing upon 463 observations of crack-spacing and 3409 observations of crack-width. Using the hybrid deterministic-probabilistic model the importance of spatial variability of material properties is identified and simulated. The probability distributions for the mean crack spacing and the distribution of cracks are then combined to give parsimonious expressions for the characteristic crack-spacing according to a specified probability of exceedance. The same approach is then applied to determine the characteristic crack-width.</description><subject>Bayesian analysis</subject><subject>Concrete</subject><subject>Design criteria</subject><subject>Material properties</subject><subject>Probabilistic analysis</subject><subject>Probabilistic models</subject><subject>Reinforced concrete</subject><subject>Statistical analysis</subject><issn>0141-0296</issn><issn>1873-7323</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNqFUctu2zAQJIIEiOvmG0KgZzkkRYnS0Qj6AgL00p4JPlYRHZtylnTb_Ek-N7Rl5JoTMdyZ2ccQcsvZijPe3m1WEB9TxoPLK8GEWHEumeIXZME7VVeqFvUlWTAuecVE316TTyltGGOi69iCvK7p-GIxeOohA-5CDCkHV-1xssaG7QlRsy_YuJEOE9I8AnWjQeOKYK67Ap7ov-DzmKiJ_vyR9saFMhwNkSKEWNQOSnGKDks3miGmMMWTYtjC_wOaLd3BzgKmz-RqMNsEN-d3Sf58-_r7_kf18Ov7z_v1Q-VqWedKdL1vgDM21K20AL6TCrxUbcu5lbUQtul63iirBpBq4N7yphWqEaxRUvq2XpIvs2_Z8PkAKevNdMBYWmrRyl70fTErLDWzHE4pIQx6j2Fn8EVzpo8x6I1-j0EfY9BzDEW5npVQlvgbAHVyAWK5Q0AoXD-FDz3eAK_6mE8</recordid><startdate>20220401</startdate><enddate>20220401</enddate><creator>Sturm, A.B.</creator><creator>Visintin, P.</creator><creator>Bennett, B.</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7ST</scope><scope>8BQ</scope><scope>8FD</scope><scope>C1K</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope><scope>SOI</scope></search><sort><creationdate>20220401</creationdate><title>A hybrid deterministic-probabilistic approach for the characteristic crack widths and crack spacings in reinforced concrete tension and flexural members</title><author>Sturm, A.B. ; Visintin, P. ; Bennett, B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c343t-289d5e100f364beed847ed476611b4322b589157b7fe47f1db156275205744d63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Bayesian analysis</topic><topic>Concrete</topic><topic>Design criteria</topic><topic>Material properties</topic><topic>Probabilistic analysis</topic><topic>Probabilistic models</topic><topic>Reinforced concrete</topic><topic>Statistical analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sturm, A.B.</creatorcontrib><creatorcontrib>Visintin, P.</creatorcontrib><creatorcontrib>Bennett, B.</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Environment Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Environment Abstracts</collection><jtitle>Engineering structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sturm, A.B.</au><au>Visintin, P.</au><au>Bennett, B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A hybrid deterministic-probabilistic approach for the characteristic crack widths and crack spacings in reinforced concrete tension and flexural members</atitle><jtitle>Engineering structures</jtitle><date>2022-04-01</date><risdate>2022</risdate><volume>256</volume><spage>114071</spage><pages>114071-</pages><artnum>114071</artnum><issn>0141-0296</issn><eissn>1873-7323</eissn><abstract>•Proposes new hybrid deterministic-probabilistic model for cracking.•Quantifies impact of randomness in crack spacing.•Quantifies impact of variation in material properties along span.•Calibrated on using more than 4000 test observations.•Allows designer to select probability of exceedance.
Crack control is an important serviceability design criterion for reinforced concrete members. In this paper a new model is proposed that directly incorporates the deterministic and probabilistic aspects of cracking behaviour. The approach defines the minimum crack spacing and the relationship between crack-spacing and crack-width as a function of the bond between the reinforcement and the concrete using partial-interaction mechanics. This deterministic model is then used as a basis for a probabilistic analysis to identify mean crack-spacing and crack-width allowing for uncertainty in the deterministic model. The fitted variables are estimated using a Bayesian approach drawing upon 463 observations of crack-spacing and 3409 observations of crack-width. Using the hybrid deterministic-probabilistic model the importance of spatial variability of material properties is identified and simulated. The probability distributions for the mean crack spacing and the distribution of cracks are then combined to give parsimonious expressions for the characteristic crack-spacing according to a specified probability of exceedance. The same approach is then applied to determine the characteristic crack-width.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.engstruct.2022.114071</doi></addata></record> |
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subjects | Bayesian analysis Concrete Design criteria Material properties Probabilistic analysis Probabilistic models Reinforced concrete Statistical analysis |
title | A hybrid deterministic-probabilistic approach for the characteristic crack widths and crack spacings in reinforced concrete tension and flexural members |
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