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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Main Authors: Ping Li, Luanhua Dong, Xiaowen Gao, Tonglu Li, Xiaokun Hou
Format: Article
Language:English
Published: Wiley 2020-01-01
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.
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institution Kabale University
issn 1687-8086
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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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