Error Evaluation and Suitability Assessment of Common Reliability Methods in the Case of Shallow Foundations
1
Faculty of Geotechnical Engineering, University of Zagreb, 42000 Varaždin, Croatia
2
Faculty of Civil Engineering, University of Zagreb, 10000 Zagreb, Croatia
3
Department of Civil Engineering, University North, 42000 Varaždin, Croatia
*
Author to whom correspondence should be addressed.
Appl. Sci. 2021, 11(2), 795; https://doi.org/10.3390/app11020795
Received: 10 December 2020 / Revised: 12 January 2021 / Accepted: 13 January 2021 / Published: 15 January 2021
(This article belongs to the Section Civil Engineering)
A geotechnical structure’s reliability index calculated using identical input parameters and assumptions can significantly vary as a function of the used method. The different approaches to solving the reliability problem could result in an error which depends on many factors. The most important error sources are the complexity of the performance function, the number of random variables, their mutual correlations, and marginal statistical distributions. A review of relevant literature in the field of reliability in geotechnical engineering revealed a lack of information on the errors of individual reliability methods for geotechnical problems and general criteria for assessing their suitability concerning the error size. The paper defines the reliability method error and proposes criteria for assessing the suitability of reliability methods in geotechnical engineering. Based on the proposed criteria, the suitability of common reliability methods was evaluated in the example of a shallow foundation, analysed according to Eurocode 7, DA 3, such that . It is shown that due to the mathematically complex expression of the reliability integral, methods that are easier to use result in a larger error and are not suitable for a reliability analysis of shallow foundations. Sophisticated methods are more accurate but require specific knowledge and resources that are not often used in daily engineering practice.
View Full-Text
Keywords:
reliability methods; reliability method error; reliability index; probability of failure; shallow foundation; Eurocode 7; reliability integral; geotechnical engineering
▼
Show Figures
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
Dodigović, F.; Ivandić, K.; Kovačević, M.S.; Soldo, B. Error Evaluation and Suitability Assessment of Common Reliability Methods in the Case of Shallow Foundations. Appl. Sci. 2021, 11, 795. https://doi.org/10.3390/app11020795
AMA Style
Dodigović F, Ivandić K, Kovačević MS, Soldo B. Error Evaluation and Suitability Assessment of Common Reliability Methods in the Case of Shallow Foundations. Applied Sciences. 2021; 11(2):795. https://doi.org/10.3390/app11020795
Chicago/Turabian StyleDodigović, Filip; Ivandić, Krešo; Kovačević, Meho S.; Soldo, Božo. 2021. "Error Evaluation and Suitability Assessment of Common Reliability Methods in the Case of Shallow Foundations" Appl. Sci. 11, no. 2: 795. https://doi.org/10.3390/app11020795
Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
Search more from Scilit