Safety Analysis of the Patch Load Resistance of Plate Girders: Influence of Model Error and Variability

This study aims to undertake a statistical study to evaluate the accuracy of nine models that have been previously proposed for estimating the ultimate resistance of plate girders subjected to patch loading. For each model, mean errors and standard errors, as well as the probability of underestimati...

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Main Authors: Farzad Shahabian, Sidi Mohammed Elachachi, Denys Breysse
Format: Article
Language:English
Published: University of Tehran Press 2013-12-01
Series:Civil Engineering Infrastructures Journal
Subjects:
Online Access:https://ceij.ut.ac.ir/article_40501_91476e2d55d97b70accc39c3349c9bb3.pdf
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author Farzad Shahabian
Sidi Mohammed Elachachi
Denys Breysse
author_facet Farzad Shahabian
Sidi Mohammed Elachachi
Denys Breysse
author_sort Farzad Shahabian
collection DOAJ
description This study aims to undertake a statistical study to evaluate the accuracy of nine models that have been previously proposed for estimating the ultimate resistance of plate girders subjected to patch loading. For each model, mean errors and standard errors, as well as the probability of underestimating or overestimating patch load resistance, are estimated and the resultant values are compared one to another. Prior to that, the models are initially calibrated in order to improve interaction formulae using an experimental data set collected from the literature. The models are then analyzed by computing design factors associated with a target risk level (probability of exceedance). These models are compared one to another considering uncertainties existed in material and geometrical properties. The Monte Carlo simulation method is used to generate random variables. The statistical parameters of the calibrated models are calculated for various coefficients of variations regardless of their correlation with the random resistance variables. These probabilistic results are very useful for evaluating the stochastic sensitivity of the calibrated models.
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spelling doaj.art-1b60442a6fab4b32be47a03686cb011f2022-12-22T00:30:11ZengUniversity of Tehran PressCivil Engineering Infrastructures Journal2322-20932423-66912013-12-0146214516010.7508/ceij.2013.02.00340501Safety Analysis of the Patch Load Resistance of Plate Girders: Influence of Model Error and VariabilityFarzad Shahabian0Sidi Mohammed Elachachi1Denys Breysse2Academic staffacademic staffAcademic staffThis study aims to undertake a statistical study to evaluate the accuracy of nine models that have been previously proposed for estimating the ultimate resistance of plate girders subjected to patch loading. For each model, mean errors and standard errors, as well as the probability of underestimating or overestimating patch load resistance, are estimated and the resultant values are compared one to another. Prior to that, the models are initially calibrated in order to improve interaction formulae using an experimental data set collected from the literature. The models are then analyzed by computing design factors associated with a target risk level (probability of exceedance). These models are compared one to another considering uncertainties existed in material and geometrical properties. The Monte Carlo simulation method is used to generate random variables. The statistical parameters of the calibrated models are calculated for various coefficients of variations regardless of their correlation with the random resistance variables. These probabilistic results are very useful for evaluating the stochastic sensitivity of the calibrated models.https://ceij.ut.ac.ir/article_40501_91476e2d55d97b70accc39c3349c9bb3.pdfcalibrationmonte carlopatch loadingplate girderuncertainty
spellingShingle Farzad Shahabian
Sidi Mohammed Elachachi
Denys Breysse
Safety Analysis of the Patch Load Resistance of Plate Girders: Influence of Model Error and Variability
Civil Engineering Infrastructures Journal
calibration
monte carlo
patch loading
plate girder
uncertainty
title Safety Analysis of the Patch Load Resistance of Plate Girders: Influence of Model Error and Variability
title_full Safety Analysis of the Patch Load Resistance of Plate Girders: Influence of Model Error and Variability
title_fullStr Safety Analysis of the Patch Load Resistance of Plate Girders: Influence of Model Error and Variability
title_full_unstemmed Safety Analysis of the Patch Load Resistance of Plate Girders: Influence of Model Error and Variability
title_short Safety Analysis of the Patch Load Resistance of Plate Girders: Influence of Model Error and Variability
title_sort safety analysis of the patch load resistance of plate girders influence of model error and variability
topic calibration
monte carlo
patch loading
plate girder
uncertainty
url https://ceij.ut.ac.ir/article_40501_91476e2d55d97b70accc39c3349c9bb3.pdf
work_keys_str_mv AT farzadshahabian safetyanalysisofthepatchloadresistanceofplategirdersinfluenceofmodelerrorandvariability
AT sidimohammedelachachi safetyanalysisofthepatchloadresistanceofplategirdersinfluenceofmodelerrorandvariability
AT denysbreysse safetyanalysisofthepatchloadresistanceofplategirdersinfluenceofmodelerrorandvariability