An Extension of Taylor’s φ-Circle Method and Some Stability Charts for Submerged Slopes
Taylor’s φ-circle method is a classical method for slope stability calculation, which has analytical solutions. Taylor derived equations in two cases separately, namely, (i) the outlet of the critical failure surface is at the slope toe and (ii) the outlet of the failure surfaces is not at the slope...
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Wiley
2020-01-01
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Series: | Advances in Civil Engineering |
Online Access: | http://dx.doi.org/10.1155/2020/8252838 |
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author | Ping Li Luanhua Dong Xiaowen Gao Tonglu Li Xiaokun Hou |
author_facet | Ping Li Luanhua Dong Xiaowen Gao Tonglu Li Xiaokun Hou |
author_sort | Ping Li |
collection | DOAJ |
description | Taylor’s φ-circle method is a classical method for slope stability calculation, which has analytical solutions. Taylor derived equations in two cases separately, namely, (i) the outlet of the critical failure surface is at the slope toe and (ii) the outlet of the failure surfaces is not at the slope toe. The method is only appropriate for two conditions (without underground water table in slopes or totally submerged slopes). In this study, a general equation that unifies the equations of the two cases is proposed and partially submerged condition is introduced. The critical failure surfaces corresponding to the minimum factor of safety are determined using the computer program proposed by the authors. The general expression of the safety factor of slopes under the following four conditions is derived, namely, (i) partly submerged, (ii) completely submerged, (iii) water sudden drawdown, and (iv) water slow drawdown. The corresponding charts for practical use are available. |
format | Article |
id | doaj-art-4e7aed506f7c418d8f9734f6d667a52e |
institution | Kabale University |
issn | 1687-8086 1687-8094 |
language | English |
publishDate | 2020-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Civil Engineering |
spelling | doaj-art-4e7aed506f7c418d8f9734f6d667a52e2025-02-03T01:01:54ZengWileyAdvances in Civil Engineering1687-80861687-80942020-01-01202010.1155/2020/82528388252838An Extension of Taylor’s φ-Circle Method and Some Stability Charts for Submerged SlopesPing Li0Luanhua Dong1Xiaowen Gao2Tonglu Li3Xiaokun Hou4School of Geological Engineering and Geomatics, Chang’an University, Xi’an 710054, Shaanxi, ChinaSchool of Geological Engineering and Geomatics, Chang’an University, Xi’an 710054, Shaanxi, ChinaElectronic Comprehensive Investigation Surveying Institute of the Ministry of Information Industry Xi’an, Xi’an 710054, Shaanxi, ChinaSchool of Geological Engineering and Geomatics, Chang’an University, Xi’an 710054, Shaanxi, ChinaWater Cycle and Geological Environment Observation and Research Station for the Chinese Loess Plateau, Ministry of Education, Gansu 745399, ChinaTaylor’s φ-circle method is a classical method for slope stability calculation, which has analytical solutions. Taylor derived equations in two cases separately, namely, (i) the outlet of the critical failure surface is at the slope toe and (ii) the outlet of the failure surfaces is not at the slope toe. The method is only appropriate for two conditions (without underground water table in slopes or totally submerged slopes). In this study, a general equation that unifies the equations of the two cases is proposed and partially submerged condition is introduced. The critical failure surfaces corresponding to the minimum factor of safety are determined using the computer program proposed by the authors. The general expression of the safety factor of slopes under the following four conditions is derived, namely, (i) partly submerged, (ii) completely submerged, (iii) water sudden drawdown, and (iv) water slow drawdown. The corresponding charts for practical use are available.http://dx.doi.org/10.1155/2020/8252838 |
spellingShingle | Ping Li Luanhua Dong Xiaowen Gao Tonglu Li Xiaokun Hou An Extension of Taylor’s φ-Circle Method and Some Stability Charts for Submerged Slopes Advances in Civil Engineering |
title | An Extension of Taylor’s φ-Circle Method and Some Stability Charts for Submerged Slopes |
title_full | An Extension of Taylor’s φ-Circle Method and Some Stability Charts for Submerged Slopes |
title_fullStr | An Extension of Taylor’s φ-Circle Method and Some Stability Charts for Submerged Slopes |
title_full_unstemmed | An Extension of Taylor’s φ-Circle Method and Some Stability Charts for Submerged Slopes |
title_short | An Extension of Taylor’s φ-Circle Method and Some Stability Charts for Submerged Slopes |
title_sort | extension of taylor s φ circle method and some stability charts for submerged slopes |
url | http://dx.doi.org/10.1155/2020/8252838 |
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