Theoretical Probabilistic Nonlinear Analysis of Post-Tensioned Bridge Cross-Sections with the Application of Random Fields

The paper presents a proprietary procedure for the analysis of normal stress distributions in post-tensioned cross-sections. It has a significant advantage over conventional commonly used approaches based solely on the envelope analysis as it provides stress levels in all components of the cross-sec...

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Main Author: Owerko Piotr
Format: Article
Language:English
Published: Sciendo 2023-07-01
Series:Architecture, Civil Engineering, Environment
Subjects:
Online Access:https://doi.org/10.2478/acee-2023-0022
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author Owerko Piotr
author_facet Owerko Piotr
author_sort Owerko Piotr
collection DOAJ
description The paper presents a proprietary procedure for the analysis of normal stress distributions in post-tensioned cross-sections. It has a significant advantage over conventional commonly used approaches based solely on the envelope analysis as it provides stress levels in all components of the cross-section. The procedure was used in a series of probabilistic analyses with the adoption of random fields. These fields represented uncertainties in strain-stress relationship in concrete. The analysis covered several types of cross-sections and several types of random fields. Key observations from the conducted simulations are as follows: (I) the widest ranges of the probable maximum stresses (i.e. the lowest indexes of reliability) were obtained for sections with relatively low heights of the compressive zone. (II) The highest probabilistic sensitivity to the type of random field used was found in tall sections with a relatively large compressive zone. (III) The greatest sensitivity to batch uncertainties was evident in all cross-sections when using squared exponential random fields. (IV) The greatest relative sensitivity to the batch uncertainties in the form of the random field compliant with the guidelines of the Joint Comity of Structural Safety (JCSS) was evident in the analyses of the tallest cross-section corresponding to the incrementally launched bridges.
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spelling doaj.art-aa754abc79cc433785dc84806b405af72023-07-24T11:19:42ZengSciendoArchitecture, Civil Engineering, Environment2720-69472023-07-0116212713610.2478/acee-2023-0022Theoretical Probabilistic Nonlinear Analysis of Post-Tensioned Bridge Cross-Sections with the Application of Random FieldsOwerko Piotr0PhD Eng.; Faculty of Materials, Civil and Environmental Engineering, University of Bielsko-Biala, Bielsko-Biala, PolandThe paper presents a proprietary procedure for the analysis of normal stress distributions in post-tensioned cross-sections. It has a significant advantage over conventional commonly used approaches based solely on the envelope analysis as it provides stress levels in all components of the cross-section. The procedure was used in a series of probabilistic analyses with the adoption of random fields. These fields represented uncertainties in strain-stress relationship in concrete. The analysis covered several types of cross-sections and several types of random fields. Key observations from the conducted simulations are as follows: (I) the widest ranges of the probable maximum stresses (i.e. the lowest indexes of reliability) were obtained for sections with relatively low heights of the compressive zone. (II) The highest probabilistic sensitivity to the type of random field used was found in tall sections with a relatively large compressive zone. (III) The greatest sensitivity to batch uncertainties was evident in all cross-sections when using squared exponential random fields. (IV) The greatest relative sensitivity to the batch uncertainties in the form of the random field compliant with the guidelines of the Joint Comity of Structural Safety (JCSS) was evident in the analyses of the tallest cross-section corresponding to the incrementally launched bridges.https://doi.org/10.2478/acee-2023-0022post-tensioned membersrandom fieldsnonlinear analysis procedurereliabilitybending and compressionsimulated reliability index
spellingShingle Owerko Piotr
Theoretical Probabilistic Nonlinear Analysis of Post-Tensioned Bridge Cross-Sections with the Application of Random Fields
Architecture, Civil Engineering, Environment
post-tensioned members
random fields
nonlinear analysis procedure
reliability
bending and compression
simulated reliability index
title Theoretical Probabilistic Nonlinear Analysis of Post-Tensioned Bridge Cross-Sections with the Application of Random Fields
title_full Theoretical Probabilistic Nonlinear Analysis of Post-Tensioned Bridge Cross-Sections with the Application of Random Fields
title_fullStr Theoretical Probabilistic Nonlinear Analysis of Post-Tensioned Bridge Cross-Sections with the Application of Random Fields
title_full_unstemmed Theoretical Probabilistic Nonlinear Analysis of Post-Tensioned Bridge Cross-Sections with the Application of Random Fields
title_short Theoretical Probabilistic Nonlinear Analysis of Post-Tensioned Bridge Cross-Sections with the Application of Random Fields
title_sort theoretical probabilistic nonlinear analysis of post tensioned bridge cross sections with the application of random fields
topic post-tensioned members
random fields
nonlinear analysis procedure
reliability
bending and compression
simulated reliability index
url https://doi.org/10.2478/acee-2023-0022
work_keys_str_mv AT owerkopiotr theoreticalprobabilisticnonlinearanalysisofposttensionedbridgecrosssectionswiththeapplicationofrandomfields