基于墙后土体滑裂面的朗肯被动土压力的探索
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摘要
基于前人从极限平衡理论出发而提出的朗肯土压力作用下的极限土体会出现滑裂面这一前提,推导了墙背与土体之间的摩擦力作用下墙背垂直的挡墙和仰斜式挡墙的朗肯被动土压力的公式,列表分析了墙背垂直挡墙的外摩擦角对墙后土体破裂角和朗肯被动土压力的影响,并对比分析了仰斜式挡墙的倾角对墙后土体破裂角和朗肯被动土压力的影响,在举例过程中也侧面印证了通过求导数计算被动土压力时应该取破裂角变化范围内的极小值。另外,通过公式对比及理论分析,提出了墙背与土体之间外摩擦角的两种简便可行的理论测定方法。
Based on the premise that the limit soil mass can produce sliding-cracking surface under the influence of Rankine earth pressure proposed by the former according to limit equilibrium theory,vertical and inclined retaining wall's Rankine passive earth pressure under the action of friction force between the wall back and the soil mass is derived,the influence of vertical retaining wall's external friction angle on cracking angle and Rankine passive earth pressure is analyzed by listing the table. The influence of inclined retaining wall's dip angle on cracking angle and Rankine passive earth pressure are also contrasted and analyzed by listing the table. In the process of giving examples,it is also verified that the minimum value within variation range of cracking angle should be taken when passive earth pressure is calculated by the derivative. In addition,two simple and feasible theoretical methods about the external friction angle between the wall back and the soil body are proposed by the formula comparison and theoretical analysis.
Based on the premise that the limit soil mass can produce sliding-cracking surface under the influence of Rankine earth pressure proposed by the former according to limit equilibrium theory,vertical and inclined retaining wall's Rankine passive earth pressure under the action of friction force between the wall back and the soil mass is derived,the influence of vertical retaining wall's external friction angle on cracking angle and Rankine passive earth pressure is analyzed by listing the table. The influence of inclined retaining wall's dip angle on cracking angle and Rankine passive earth pressure are also contrasted and analyzed by listing the table. In the process of giving examples,it is also verified that the minimum value within variation range of cracking angle should be taken when passive earth pressure is calculated by the derivative. In addition,two simple and feasible theoretical methods about the external friction angle between the wall back and the soil body are proposed by the formula comparison and theoretical analysis.
引文
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3 袁俊利.基于统一强度理论朗肯土压力参数的正交试验[J].煤田地质与勘探,2011,39(1):46-51Yuan Junli. Sensitivity analysis of parameters of Rankine earth pressure based on unified strength theory[J]. Coal Geology&Exploration,2011,39(1):46-51
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5 马崇武.黏性土挡土墙被动土压力的计算[J].兰州理工大学学报,2016,42(1):124-127Ma Chongwu. Evaluation of passive earth pressure on retaining walls with cohesive soil backfill[J]. Journal of Lanzhou University of Technology,2016,42(1):124-127
6 张平,田红花,李日运.挡土墙被动土压力计算方法的探讨[J].沈阳大学学报,2006,18(2):54-56Zhang Ping,Tian Honghua,Li Riyun. Discussion on calculation method of passive earth pressure on the retaining wall[J]. Journal of Shenyang University,2006,18(2):54-56
7 陈文胜,赵勤彦,凌同华.经典朗肯土压力墙后土体滑裂面机制研究[J].岩土力学,2011,30(12):3571-3576Chen Wensheng,Zhao Qinyan,Ling Tonghua. Sliding surface mechanism of limit soil mass under classical Rankine earth pressure[J].Rock and Soil Mechanics,2011,30(12):3571-3576
8 陈文胜,李苗苗,张永杰,等.对库仑土压力理论的若干修正[J].岩土力学,2013,34(7):1832-1838Chen Wensheng,Li Miaomiao,Zhang Yongjie,et al. Modifications to Coulomb's theory of earth pressure[J]. Rock and Soil Mechanics,2013,34(7):1832-1838
9 陈文胜,李苗苗,张永杰,等.对“关于‘对库仑土压力理论的若干修正’”的答复[J].岩土力学,2014,35(3):911-912Chen Wensheng,Li Miaomiao,Zhang Yongjie,et al. A reply of Modifications to Coulomb's theory of earth pressure[J]. Rock and Soil Mechanics,2014,35(3):911-912
2 姚小彬.一种考虑被动土压力的短桩基础设计方法[J].建筑结构,2017,47(增刊1):444-446Yao Xiaobin. A method for designing short pile foundation with. considering passive earth pressure[J]. Building Structure,2107,47(S1):444-446
3 袁俊利.基于统一强度理论朗肯土压力参数的正交试验[J].煤田地质与勘探,2011,39(1):46-51Yuan Junli. Sensitivity analysis of parameters of Rankine earth pressure based on unified strength theory[J]. Coal Geology&Exploration,2011,39(1):46-51
4 王奎华,马少俊,刘骏龙,等.一种包含库仑和朗肯理论的土压力计算方法[J].浙江大学学报,2010,44(5):969-975Wang Kuihua,Ma Shaojun,Liu Junlong,et al. Generic algorithm for earth pressure involving Coulomb and Rankine pressure theory[J].Journal of Zhejiang University(Engineering Science),2010,44(5):969-975
5 马崇武.黏性土挡土墙被动土压力的计算[J].兰州理工大学学报,2016,42(1):124-127Ma Chongwu. Evaluation of passive earth pressure on retaining walls with cohesive soil backfill[J]. Journal of Lanzhou University of Technology,2016,42(1):124-127
6 张平,田红花,李日运.挡土墙被动土压力计算方法的探讨[J].沈阳大学学报,2006,18(2):54-56Zhang Ping,Tian Honghua,Li Riyun. Discussion on calculation method of passive earth pressure on the retaining wall[J]. Journal of Shenyang University,2006,18(2):54-56
7 陈文胜,赵勤彦,凌同华.经典朗肯土压力墙后土体滑裂面机制研究[J].岩土力学,2011,30(12):3571-3576Chen Wensheng,Zhao Qinyan,Ling Tonghua. Sliding surface mechanism of limit soil mass under classical Rankine earth pressure[J].Rock and Soil Mechanics,2011,30(12):3571-3576
8 陈文胜,李苗苗,张永杰,等.对库仑土压力理论的若干修正[J].岩土力学,2013,34(7):1832-1838Chen Wensheng,Li Miaomiao,Zhang Yongjie,et al. Modifications to Coulomb's theory of earth pressure[J]. Rock and Soil Mechanics,2013,34(7):1832-1838
9 陈文胜,李苗苗,张永杰,等.对“关于‘对库仑土压力理论的若干修正’”的答复[J].岩土力学,2014,35(3):911-912Chen Wensheng,Li Miaomiao,Zhang Yongjie,et al. A reply of Modifications to Coulomb's theory of earth pressure[J]. Rock and Soil Mechanics,2014,35(3):911-912