Determination of Prestress Losses in Existing Pre-Tensioned Structures Using Bayesian Approach

Deterioration of materials and structures is an unavoidable fact, and prestressed concrete structures are not an exception. The evaluation of load-carrying capacity and remaining service life includes collecting various information. However, one type of information is essential and the most importan...

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Main Authors: Martin Moravčík, Jakub Kraľovanec
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/15/10/3548
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author Martin Moravčík
Jakub Kraľovanec
author_facet Martin Moravčík
Jakub Kraľovanec
author_sort Martin Moravčík
collection DOAJ
description Deterioration of materials and structures is an unavoidable fact, and prestressed concrete structures are not an exception. The evaluation of load-carrying capacity and remaining service life includes collecting various information. However, one type of information is essential and the most important, the state of prestressing, which inevitably decreases over time. Currently, many possible methods for the evaluation of prestressing are available. These techniques are part of the structural assessment and provide residual prestressing force value which is later used in the evaluation process. Therefore, it is suitable to provide the value of prestressing force based on certain probabilistic backgrounds. This study addresses the determination of residual prestressing force in pre-tensioned railway sleepers one year after their production, using the so-called Bayesian approach. This technique is focused on the validation of results obtained from the application of the non-destructive indirect saw-cut method. The Bayesian approach considers analytic calculation as the primary method of prestressing determination. In this paper, Monte Carlo simulation was used to determine the total variability that defines all Bayesian systems of probability functions. Specifically, a total of 1000 simulations was applied, and the current random vector of prestressing force derived from the analytical calculation has been assumed as a normally distributed function. Finally, obtained results for different depths of saw-cuts are compared. The results of the experimental and statistical determination of residual prestressing force provide its value with a 95% confidence level. This study suggests that the implementation of the probability approach can be an effective tool for determining prestress losses.
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spelling doaj.art-a99eeab5661c41c181d175a45a9f41062023-11-23T11:57:03ZengMDPI AGMaterials1996-19442022-05-011510354810.3390/ma15103548Determination of Prestress Losses in Existing Pre-Tensioned Structures Using Bayesian ApproachMartin Moravčík0Jakub Kraľovanec1Department of Structures and Bridges, Faculty of Civil Engineering, University of Zilina, Univerzitna 8215/1, 010 26 Zilina, SlovakiaDepartment of Structures and Bridges, Faculty of Civil Engineering, University of Zilina, Univerzitna 8215/1, 010 26 Zilina, SlovakiaDeterioration of materials and structures is an unavoidable fact, and prestressed concrete structures are not an exception. The evaluation of load-carrying capacity and remaining service life includes collecting various information. However, one type of information is essential and the most important, the state of prestressing, which inevitably decreases over time. Currently, many possible methods for the evaluation of prestressing are available. These techniques are part of the structural assessment and provide residual prestressing force value which is later used in the evaluation process. Therefore, it is suitable to provide the value of prestressing force based on certain probabilistic backgrounds. This study addresses the determination of residual prestressing force in pre-tensioned railway sleepers one year after their production, using the so-called Bayesian approach. This technique is focused on the validation of results obtained from the application of the non-destructive indirect saw-cut method. The Bayesian approach considers analytic calculation as the primary method of prestressing determination. In this paper, Monte Carlo simulation was used to determine the total variability that defines all Bayesian systems of probability functions. Specifically, a total of 1000 simulations was applied, and the current random vector of prestressing force derived from the analytical calculation has been assumed as a normally distributed function. Finally, obtained results for different depths of saw-cuts are compared. The results of the experimental and statistical determination of residual prestressing force provide its value with a 95% confidence level. This study suggests that the implementation of the probability approach can be an effective tool for determining prestress losses.https://www.mdpi.com/1996-1944/15/10/3548Bayesian approachprestressing forcesaw-cut methodassessmentpre-tensioned members
spellingShingle Martin Moravčík
Jakub Kraľovanec
Determination of Prestress Losses in Existing Pre-Tensioned Structures Using Bayesian Approach
Materials
Bayesian approach
prestressing force
saw-cut method
assessment
pre-tensioned members
title Determination of Prestress Losses in Existing Pre-Tensioned Structures Using Bayesian Approach
title_full Determination of Prestress Losses in Existing Pre-Tensioned Structures Using Bayesian Approach
title_fullStr Determination of Prestress Losses in Existing Pre-Tensioned Structures Using Bayesian Approach
title_full_unstemmed Determination of Prestress Losses in Existing Pre-Tensioned Structures Using Bayesian Approach
title_short Determination of Prestress Losses in Existing Pre-Tensioned Structures Using Bayesian Approach
title_sort determination of prestress losses in existing pre tensioned structures using bayesian approach
topic Bayesian approach
prestressing force
saw-cut method
assessment
pre-tensioned members
url https://www.mdpi.com/1996-1944/15/10/3548
work_keys_str_mv AT martinmoravcik determinationofprestresslossesinexistingpretensionedstructuresusingbayesianapproach
AT jakubkralovanec determinationofprestresslossesinexistingpretensionedstructuresusingbayesianapproach