Statistical Inversion Approach for Stress Estimation Based on Strain Monitoring in Continuously Pre-Stressed Concrete Beams

Stress is one of the most important physical indexes reflecting the mechanical behavior of concrete structures. In general, stress in structures cannot be directly monitored and can only be estimated through an established model of stress and strain. The accuracy of the estimated stress depends on t...

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Main Authors: Huibing Xie, Bing Han, Wutong Yan, Peng Jiang
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/21/10161
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author Huibing Xie
Bing Han
Wutong Yan
Peng Jiang
author_facet Huibing Xie
Bing Han
Wutong Yan
Peng Jiang
author_sort Huibing Xie
collection DOAJ
description Stress is one of the most important physical indexes reflecting the mechanical behavior of concrete structures. In general, stress in structures cannot be directly monitored and can only be estimated through an established model of stress and strain. The accuracy of the estimated stress depends on the rationality of the established model for stress and strain. As the strain measured by sensors contains creep, shrinkage, and elastic strain, it is difficult to establish an analytical model for strain and stress. In this paper, a statistical inverse method was utilized to estimate the stress in continuously pre-stressed concrete beams based on the monitored strain. Stress in the beams and the model uncertainty factors were treated as model parameters. A linear-simplified method was adopted to determine the prior distribution of the stresses. The posterior distribution of the stresses at different locations during bridge construction can be obtained by the proposed method. A continuously pre-stressed concrete beam bridge was taken as the case study to verify the effectiveness of the proposed method. Additionally, the constitution of the total strain in the different construction stages was calculated. It was concluded that the creep strain is the dominant part of the total strain.
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spelling doaj.art-7cf5b5693d894023aca1d636b2b11a032023-11-22T20:28:42ZengMDPI AGApplied Sciences2076-34172021-10-0111211016110.3390/app112110161Statistical Inversion Approach for Stress Estimation Based on Strain Monitoring in Continuously Pre-Stressed Concrete BeamsHuibing Xie0Bing Han1Wutong Yan2Peng Jiang3School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Civil Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Civil Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Civil Engineering, Beijing Jiaotong University, Beijing 100044, ChinaStress is one of the most important physical indexes reflecting the mechanical behavior of concrete structures. In general, stress in structures cannot be directly monitored and can only be estimated through an established model of stress and strain. The accuracy of the estimated stress depends on the rationality of the established model for stress and strain. As the strain measured by sensors contains creep, shrinkage, and elastic strain, it is difficult to establish an analytical model for strain and stress. In this paper, a statistical inverse method was utilized to estimate the stress in continuously pre-stressed concrete beams based on the monitored strain. Stress in the beams and the model uncertainty factors were treated as model parameters. A linear-simplified method was adopted to determine the prior distribution of the stresses. The posterior distribution of the stresses at different locations during bridge construction can be obtained by the proposed method. A continuously pre-stressed concrete beam bridge was taken as the case study to verify the effectiveness of the proposed method. Additionally, the constitution of the total strain in the different construction stages was calculated. It was concluded that the creep strain is the dominant part of the total strain.https://www.mdpi.com/2076-3417/11/21/10161bridge monitoringpre-stressed concrete beamsstatistic inverse theorystress estimationmonitored straincreep
spellingShingle Huibing Xie
Bing Han
Wutong Yan
Peng Jiang
Statistical Inversion Approach for Stress Estimation Based on Strain Monitoring in Continuously Pre-Stressed Concrete Beams
Applied Sciences
bridge monitoring
pre-stressed concrete beams
statistic inverse theory
stress estimation
monitored strain
creep
title Statistical Inversion Approach for Stress Estimation Based on Strain Monitoring in Continuously Pre-Stressed Concrete Beams
title_full Statistical Inversion Approach for Stress Estimation Based on Strain Monitoring in Continuously Pre-Stressed Concrete Beams
title_fullStr Statistical Inversion Approach for Stress Estimation Based on Strain Monitoring in Continuously Pre-Stressed Concrete Beams
title_full_unstemmed Statistical Inversion Approach for Stress Estimation Based on Strain Monitoring in Continuously Pre-Stressed Concrete Beams
title_short Statistical Inversion Approach for Stress Estimation Based on Strain Monitoring in Continuously Pre-Stressed Concrete Beams
title_sort statistical inversion approach for stress estimation based on strain monitoring in continuously pre stressed concrete beams
topic bridge monitoring
pre-stressed concrete beams
statistic inverse theory
stress estimation
monitored strain
creep
url https://www.mdpi.com/2076-3417/11/21/10161
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AT binghan statisticalinversionapproachforstressestimationbasedonstrainmonitoringincontinuouslyprestressedconcretebeams
AT wutongyan statisticalinversionapproachforstressestimationbasedonstrainmonitoringincontinuouslyprestressedconcretebeams
AT pengjiang statisticalinversionapproachforstressestimationbasedonstrainmonitoringincontinuouslyprestressedconcretebeams