Please wait a minute...
J4  2010, Vol. 44 Issue (5): 969-975    DOI: 10.3785/j.issn.1008-973X.2010.05.022
    
Generic algorithm for earth pressure involving Coulomb and
Rankine pressure theory
WANG Kui-hua, MA Shao-jun, LIU Jun-long, WU Wen-bing
Institute of Geotechnical Engineering, Zhejiang University, Hangzhou 310027, China
Download:   PDF(0KB) HTML
Export: BibTeX | EndNote (RIS)      

Abstract  

Based on the sliding plane hypothesis of Coulumb’s earth pressure theory, a formula was derived for the calculation of passive earth pressure of cohesive or noncohesive backfill soils with the consideration of the cohesion force on the sliding plane and the adhesive force on the interface of soil and retaining wall. The formula can be degenerated to Coulomb’s and Rankine’s earth pressure expressions. Results show that the Coulomb’s and Rankine’s earth pressure theory are the special case of the present solution. A group of graphs about the earth pressure and the slope angle of sliding plane were drawn by the computer program. The limiting value of the earth pressure and the slope angle of sliding plane can be determined from the corresponding graphs. Numerical results showed that the method was feasible, reliable and easily applied in engineering practice.



Published: 19 March 2012
CLC:     
  TU 432  
Cite this article:

WANG Kui-Hua, MA Shao-Dun, LIU Jun-Long, TUN Wen-Bing. Generic algorithm for earth pressure involving Coulomb and
Rankine pressure theory. J4, 2010, 44(5): 969-975.

URL:

http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2010.05.022     OR     http://www.zjujournals.com/eng/Y2010/V44/I5/969


一种包含库仑和朗肯理论的土压力计算方法

基于库仑理论的平面滑裂面假设,考虑滑裂面上填土黏聚力及填土与挡土墙墙背接触面上的黏着力,推导出了黏性土或无黏性土的土压力关于破裂面倾角的计算表达式,并在经典朗肯和库仑土压力条件下,将公式退化对比,表明此方法涵盖了经典朗肯和库仑土压力理论.运用计算机程序绘制了土压力关于滑裂面倾角的函数图,可以容易地确定土压力的极限值,并求得相应的滑裂面倾角.通过算例比较各类土压力方法的计算结果,表明本文方法应用范围广,精度可靠,易于在工程中推广应用.

[1] 冯震,李巨文,王娜.挡土墙后黏性填土的主动土压力计算[J].岩土工程学报,2006, 28(5): 650652.
FENG Zhen, LI Juwen, WANG Na. Computation of earth pressure of cohesive backfill on retaining wall[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(5): 650652.
[2] 林智勇,戴自航,苏美选.复杂条件下挡土墙主动土压力解析解[J].岩土工程学报,2008, 30(4): 555559.
LIN Zhiyong, DAI Zihang, SU Meixuan. Analytical solution of active earth pressure acting on retaining walls under complicated conditions[J]. Chinese Journal of Geotechnical Engineering, 2008, 30(4): 555559.
[3] 顾慰慈.黏性土主动土压力计算[J].水利学报,1991(2): 5564.
GU Weici. Calculation of active earth pressure for cohesive soil[J]. Journal of Hydraulic Engineering, 1991(2): 5564.
[4] 卢廷浩.考虑粘聚力及墙背粘着力的主动土压力公式[J].岩土力学,2002,23(4): 470473.
LU Tinghao. A formula of active earth pressure including cohesion and adhesion[J]. Rock and Soil Mechanics, 2002, 23(4): 470473.
[5] 王元占,王海龙,张文忠.挡土墙土压力分布[J].中国港湾建设,2000(4): 15.
WANG Yuanzhan, WANG Hailong, ZHANG Wenzhong. Distribution of earth pressure on retaining wall[J]. China Harbor Engineering, 2000(4): 15.
[6] 顾慰慈.挡土墙土压力计算手册[M].北京:中国建材工业出版社,2004: 18195.
[7] SCOTT C R. An introduction to soil mechanics and foundation[M]. London: Applied Science Publishers, 1980: 212227.
[8] 胡晓军.黏性土主动土压力库仑精确解的改进[J].岩土工程学报,2006, 28(8): 10491052.
HU Xiaojun. Improvement on Coulumb accurate solution of avtive earth pressure to cohesive soil[J]. Chinese Journal of Geotechnical Enginering, 2006, 28(8): 10491052.
[9] JAMES R G, BRANSBY P L. Experimental and theoreticl investigations of passive pressure problems[J]. Geotechnique, 1970, 20(1): 1737.
[10] ROWE P W, PEAKER K. Passive earth pressure measurements[J]. Geotechnique, 1965, 15(1): 5778.
[11] TERZAGHI K. Record earth pressure testing machine [J]. Engineering News Record 109, 1932,29: 365369.
[12] 王世柱.黏性土的等值内摩擦角及主动土压力的计算[J].地基基础工程,1997, 7(3): 1923.
WANG Shizhu. Friction angle method and calculation of active earth pressure for cohesive soil[J]. Foundation Engineering, 1997, 7(3): 1923.

[1] NING Zhi-hua, HE Le-nian, HU Zhi-cheng. A high voltage high stability switching-mode controller chip[J]. J4, 2014, 48(3): 377-383.
[2] LI Lin, CHEN Jia-wang,GU Lin-yi, WANG Feng. Variable displacement distributor with valve control for axial piston pump/motor[J]. J4, 2014, 48(1): 29-34.
[3] CHEN Zhao, YU Feng, CHEN Ting-ting. Log-structured even recycle strategy for flash storage[J]. J4, 2014, 48(1): 92-99.
[4] JIANG Zhan, YAO Xiao-ming, LIN Lan-fen. Feature-based adaptive method of ontology mapping[J]. J4, 2014, 48(1): 76-84.
[5] CHEN Di-shi,ZHANG Yu , LI Ping. Ground effect modeling for small-scale unmanned helicopter[J]. J4, 2014, 48(1): 154-160.
[6] HUO Xin-xin, CHU Jin-kui,HAN Bing-feng, YAO Fei. Research on interface circuits of multiple piezoelectric generators[J]. J4, 2013, 47(11): 2038-2045.
[7] YANG Xin, XU Duan-qing, YANG Bing. A parallel computing method for irregular work[J]. J4, 2013, 47(11): 2057-2064.
[8] WANG Yu-qiang,ZHANG Kuan-di,CHEN Xiao-dong. Numerical analysis on interface behavior of
adhesive bonded steel-concrete composite beams
[J]. J4, 2013, 47(9): 1593-1598.
[9] CUI He-liang, ZHANG Dan, SHI Bin. Spatial resolution and its calibration method for Brillouin scattering based distributed sensors[J]. J4, 2013, 47(7): 1232-1237.
[10] PENG Yong, XU Xiao-jian. Numerical analysis of effect of aggregate distribution on splitting strength of asphalt mixtures[J]. J4, 2013, 47(7): 1186-1191.
[11] WU Xiao-rong, QIU Le-miao, ZHANG Shu-you, SUN Liang-feng, GUO Chuan-long. Correlated FMEA method of complex system with linguistic vagueness[J]. J4, 2013, 47(5): 782-789.
[12] JIN Bo, CHEN Cheng, LI Wei. Gait correction algorithm of hexapod walking robot
with semi-round rigid feet
[J]. J4, 2013, 47(5): 768-774.
[13] ZHONG Shi-ying, WU Xiao-jun, CAI Wu-jun, LING Dao-sheng. Development of horizontal sliding model test facility
 for footpad’s lunar soft landing
[J]. J4, 2013, 47(3): 465-471.
[14] YUAN Xing, ZHANG You-yun, ZHU Yong-sheng, HONG Jun,QI Wen-chang. Fault degree evaluation for rolling bearing combining
backward inference with forward inference
[J]. J4, 2012, 46(11): 1960-1967.
[15] YANG Fei, ZHU Zhu, GONG Xiao-jin, LIU Ji-lin. Real-time dynamic obstacle detection and tracking using 3D Lidar[J]. J4, 2012, 46(9): 1565-1571.