加筋土边坡安全评价的简化水平条分法
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摘要
对于加筋土填方边坡圆弧滑动安全系数的计算,传统垂直条分法难以合理考虑水平向加筋力和地震力,造成计算结果偏保守;而基于Morgenstern-Price假设的水平条分法在验算加筋土边坡稳定性时,虽严格满足极限平衡条件,但需进行双重迭代,使计算过程过于复杂,不适合工程应用。本文参考Janbu假设来定义条间切向力Xi,简化了法向条间力Ei的计算,重新推导出只需单个迭代的加筋土边坡水平条分法安全系数计算公式,使计算过程更简洁。采用Bishop垂直条分法和简化水平条分法分别计算了某工程的两个实例,并进行了比较和分析,证明本文提出的方法合理易行。
In the analysis of the factor of safety of reinforced soil fill slopes,the horizontal tension forces of reinforcing elements and seismic forces cannot be considered properly for common vertical slice methods and the result is a little conservative.The proposed horizontal slice method,which is based on the Morgenstern-Price Method,complies strictly with the limit equilibrium condition,but both of the factor of safety and the scaling factor must be computed iteratively,which makes the method too complex to be popularized in the engineering design.In this paper,the expression of the factor of safety of the simplified horizontal slice method is based on the assumption of inter-slice tangential force Xi made by Janbu,and the simplified calculation of inter-slice normal force Ei,which should be computed iteratively just for the factor of safety,makes the computational process simpler and clearer.Two cases of reinforced soil slopes are analyzed by using the Bishop vertical slice method.The simplified horizontal slice method is proposed in this paper and the computation results are compared.The result shows that the proposed method is rational and simple to use.
In the analysis of the factor of safety of reinforced soil fill slopes,the horizontal tension forces of reinforcing elements and seismic forces cannot be considered properly for common vertical slice methods and the result is a little conservative.The proposed horizontal slice method,which is based on the Morgenstern-Price Method,complies strictly with the limit equilibrium condition,but both of the factor of safety and the scaling factor must be computed iteratively,which makes the method too complex to be popularized in the engineering design.In this paper,the expression of the factor of safety of the simplified horizontal slice method is based on the assumption of inter-slice tangential force Xi made by Janbu,and the simplified calculation of inter-slice normal force Ei,which should be computed iteratively just for the factor of safety,makes the computational process simpler and clearer.Two cases of reinforced soil slopes are analyzed by using the Bishop vertical slice method.The simplified horizontal slice method is proposed in this paper and the computation results are compared.The result shows that the proposed method is rational and simple to use.
引文
[1]徐超,邢皓枫.土工合成材料[M].北京:机械工业出版社,2010.[XU C,XING H F.Geosynthetics[M].Beijing:China Machine Press,2010.(inChinese)]
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[3]朱大勇,李焯芬,黄茂松,等.对3种著名边坡稳定性计算方法的改进[J].岩石力学与工程学报,2005,24(2):183-194.[ZHU D Y,LI Z F,HUANG M S,et al.Modifications to Three Well-Known Methods of Slope Stability Analysis[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(2):183-194.(in Chinese)]
[4]范鹏贤,陈灿寿,黄育.加筋土边坡稳定性分析的水平条分法[J].岩土工程技术,2010,24(2):55-57.[FAN P X,CHEN C S,HUANG Y.LimitEquilibrium Method for Reinforced Slope Based onHorizontal Slice[J].Geotechnical EngineeringTechnique,2010,24(2):55-57.(in Chinese)]
[5]Shahgholi M,Fakher A,Jones C J F P.HorizontalSlice Method of Analysis[J].Geotechnique,2001,51(10):881-885.
[6]ZHU D Y,LEE C F,JIANG H D.GeneralizedFramework of Limit Equilibrium Methods andNumerical Procedure for Slope Stability Analysis[J].Geotechnique,2003,53(4):377-395.
[7]Morgenstern N R,Price V E.The Analysis of TheStability of General Slip Surfaces[J].Geotechnique,1965,15(1):79-93.
[8]JANBU,N.Application of Complsite Slip Surfaces forStability Analysis[C]//Proceedings of EuropeanConference on Stability of Earth Slopes,Stockholm,1954,3:43-49.
[9]中华人民共和国水利部.GB50209-98土工合成材料应用技术规范[S].北京:中国计划出版社,1998.[Ministry of Water Resources of The People's Republicof China.GB 50209-98 Technical Standard forApplications of Geosynthetics[S].Beijing:Chinese PlanPublishing House,1998.(in Chinese)]
[10]U.S.Department of Transportation Federal HighwayAdministration.Fhwa-Nhi-10-025 Fhwa Gec 011-Volume Ii Design and Construction of MechanicallyStabilized Earth Walls and Reinforced Soil Slopes-Volume Ii[S].U.S.:Fhwa,November,2009.
[2]钱家欢,殷宗泽.土工原理与计算[M].2版.北京:水利电力出版社,1994:304-310.[QIAN J H,YIN Z Z.Geotechnical Principles and Calculating[M].Version 2.Beijing:China Water Conservancyand Electricity Press,1994:304-310.(inChinese)]
[3]朱大勇,李焯芬,黄茂松,等.对3种著名边坡稳定性计算方法的改进[J].岩石力学与工程学报,2005,24(2):183-194.[ZHU D Y,LI Z F,HUANG M S,et al.Modifications to Three Well-Known Methods of Slope Stability Analysis[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(2):183-194.(in Chinese)]
[4]范鹏贤,陈灿寿,黄育.加筋土边坡稳定性分析的水平条分法[J].岩土工程技术,2010,24(2):55-57.[FAN P X,CHEN C S,HUANG Y.LimitEquilibrium Method for Reinforced Slope Based onHorizontal Slice[J].Geotechnical EngineeringTechnique,2010,24(2):55-57.(in Chinese)]
[5]Shahgholi M,Fakher A,Jones C J F P.HorizontalSlice Method of Analysis[J].Geotechnique,2001,51(10):881-885.
[6]ZHU D Y,LEE C F,JIANG H D.GeneralizedFramework of Limit Equilibrium Methods andNumerical Procedure for Slope Stability Analysis[J].Geotechnique,2003,53(4):377-395.
[7]Morgenstern N R,Price V E.The Analysis of TheStability of General Slip Surfaces[J].Geotechnique,1965,15(1):79-93.
[8]JANBU,N.Application of Complsite Slip Surfaces forStability Analysis[C]//Proceedings of EuropeanConference on Stability of Earth Slopes,Stockholm,1954,3:43-49.
[9]中华人民共和国水利部.GB50209-98土工合成材料应用技术规范[S].北京:中国计划出版社,1998.[Ministry of Water Resources of The People's Republicof China.GB 50209-98 Technical Standard forApplications of Geosynthetics[S].Beijing:Chinese PlanPublishing House,1998.(in Chinese)]
[10]U.S.Department of Transportation Federal HighwayAdministration.Fhwa-Nhi-10-025 Fhwa Gec 011-Volume Ii Design and Construction of MechanicallyStabilized Earth Walls and Reinforced Soil Slopes-Volume Ii[S].U.S.:Fhwa,November,2009.
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