Practical second-order reliability analysis applied to foundation engineering
A practical and efficient approach of implementing second-order reliability method (SORM) is presented and illustrated for cases related to foundation engineering involving explicit and implicit limit state functions. The proposed SORM procedure is based on an approximating paraboloid fitted to the...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Online Access: | https://hdl.handle.net/10356/101086 http://hdl.handle.net/10220/16462 |
| _version_ | 1811687038904172544 |
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| author | Chan, Chin Loong Low, Bak Kong |
| author2 | School of Civil and Environmental Engineering |
| author_facet | School of Civil and Environmental Engineering Chan, Chin Loong Low, Bak Kong |
| author_sort | Chan, Chin Loong |
| collection | NTU |
| description | A practical and efficient approach of implementing second-order reliability method (SORM) is presented and illustrated for cases related to foundation engineering involving explicit and implicit limit state functions. The proposed SORM procedure is based on an approximating paraboloid fitted to the limit state surface in the neighborhood of the design point and can be easily carried out in a spreadsheet. Complex mathematical operations are relegated to relatively simple user-created functions. The failure probability is calculated automatically based on the reliability index and principal curvatures of the limit state surface using established closed-form SORM formulas. Four common foundation engineering examples are analyzed using the proposed method and discussed: immediate settlement of a flexible rectangular foundation, bearing capacity of a shallow footing, axial capacity of a vertical single pile, and deflection of a pile under lateral load. Comparisons with Monte Carlo simulations are made. In the case of the laterally loaded pile, the friction angle of the soil is represented as a one-dimensional random field, and pile deflections are computed based on finite element analysis on a stand-alone computer package. The implicit limit state function is approximated via the response surface method using two quadratic models. |
| first_indexed | 2024-10-01T05:09:58Z |
| format | Journal Article |
| id | ntu-10356/101086 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:09:58Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/1010862020-03-07T11:45:54Z Practical second-order reliability analysis applied to foundation engineering Chan, Chin Loong Low, Bak Kong School of Civil and Environmental Engineering DRNTU::Engineering::Environmental engineering A practical and efficient approach of implementing second-order reliability method (SORM) is presented and illustrated for cases related to foundation engineering involving explicit and implicit limit state functions. The proposed SORM procedure is based on an approximating paraboloid fitted to the limit state surface in the neighborhood of the design point and can be easily carried out in a spreadsheet. Complex mathematical operations are relegated to relatively simple user-created functions. The failure probability is calculated automatically based on the reliability index and principal curvatures of the limit state surface using established closed-form SORM formulas. Four common foundation engineering examples are analyzed using the proposed method and discussed: immediate settlement of a flexible rectangular foundation, bearing capacity of a shallow footing, axial capacity of a vertical single pile, and deflection of a pile under lateral load. Comparisons with Monte Carlo simulations are made. In the case of the laterally loaded pile, the friction angle of the soil is represented as a one-dimensional random field, and pile deflections are computed based on finite element analysis on a stand-alone computer package. The implicit limit state function is approximated via the response surface method using two quadratic models. 2013-10-11T08:08:50Z 2019-12-06T20:33:13Z 2013-10-11T08:08:50Z 2019-12-06T20:33:13Z 2012 2012 Journal Article Chan, C. L.,& Low, B. K. (2012). Practical second-order reliability analysis applied to foundation engineering. International Journal for Numerical and Analytical Methods in Geomechanics, 36(11), 1387-1409. 0363-9061 https://hdl.handle.net/10356/101086 http://hdl.handle.net/10220/16462 10.1002/nag.1057 en International journal for numerical and analytical methods in geomechanics |
| spellingShingle | DRNTU::Engineering::Environmental engineering Chan, Chin Loong Low, Bak Kong Practical second-order reliability analysis applied to foundation engineering |
| title | Practical second-order reliability analysis applied to foundation engineering |
| title_full | Practical second-order reliability analysis applied to foundation engineering |
| title_fullStr | Practical second-order reliability analysis applied to foundation engineering |
| title_full_unstemmed | Practical second-order reliability analysis applied to foundation engineering |
| title_short | Practical second-order reliability analysis applied to foundation engineering |
| title_sort | practical second order reliability analysis applied to foundation engineering |
| topic | DRNTU::Engineering::Environmental engineering |
| url | https://hdl.handle.net/10356/101086 http://hdl.handle.net/10220/16462 |
| work_keys_str_mv | AT chanchinloong practicalsecondorderreliabilityanalysisappliedtofoundationengineering AT lowbakkong practicalsecondorderreliabilityanalysisappliedtofoundationengineering |