Maximum Likelihood Estimation of Model Uncertainty in Predicting Soil Nail Loads Using Default and Modified FHWA Simplified Methods
Joint Authors
Lin, Peiyuan
Tang, Lian-Sheng
Liu, Huifen
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-19
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Accuracy evaluation of the default Federal Highway Administration (FHWA) simplified equation for prediction of maximum soil nail loads under working conditions is presented in this study using the maximum likelihood method and a large amount of measured lower and upper bound nail load data reported in the literature.
Accuracy was quantitatively expressed as model bias where model bias is defined as the ratio of measured to predicted nail load.
The maximum likelihood estimation was carried out assuming normal and lognormal distributions of bias.
Analysis outcomes showed that, based on the collected data, the default FHWA simplified nail load equation is satisfactorily accurate on average and the spread in prediction accuracy expressed as the coefficient of variation of bias is about 30%, regardless of the distribution type.
Empirical calibrations were proposed to the default FHWA simplified nail load equation for accuracy improvement.
The Bayesian Information Criterion was adopted to perform a comparison of suitability between the competing normal and lognormal statistical models that were intended for description of model bias.
Example of reliability-based design of soil nail walls against internal pullout limit state of nails is provided in the end to demonstrate the benefit of performing model calibration and using calibrated model for design of soil nails.
American Psychological Association (APA)
Liu, Huifen& Tang, Lian-Sheng& Lin, Peiyuan. 2017. Maximum Likelihood Estimation of Model Uncertainty in Predicting Soil Nail Loads Using Default and Modified FHWA Simplified Methods. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1192029
Modern Language Association (MLA)
Liu, Huifen…[et al.]. Maximum Likelihood Estimation of Model Uncertainty in Predicting Soil Nail Loads Using Default and Modified FHWA Simplified Methods. Mathematical Problems in Engineering No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1192029
American Medical Association (AMA)
Liu, Huifen& Tang, Lian-Sheng& Lin, Peiyuan. Maximum Likelihood Estimation of Model Uncertainty in Predicting Soil Nail Loads Using Default and Modified FHWA Simplified Methods. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1192029
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192029