Upper Bound Solution of Rationalized Janbu Method

Abstract:

The theoretical defects of conventional Janbu method are systematically analyzed in this study. On the basis of these theoretical analyses, three inequalities are brought up to rationalize the results of inter-slice shear force, the point of inter-slice normal force and the point of normal force on slip line. The new iteration formulas of rationalized Janbu method are deduced and the process of rationalized upper bound solution is given out. The results of the example given in the end show that the rationalized Janbu method can distinctly improve the results’ reasonableness, and can work out the corresponding reasonable thrust line. And the results of rationalized Janbu method under given safety factor can provide relatively reasonable slipping force and slipping moment for reliability design of reinforcing slope.

• Periodical: Applied Mechanics and Materials (Volumes 90-93)
• Pages: 2393-2400
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.90-93.2393
• Online since: September 2011
• Authors: Jin Hai Wang, Yong Wang, Hong Wang
• Keywords: Janbu Method, Rationalization, Reliability Design, Slope Stability Analysis, Upper Bound Solution

References

[1] Zhen Yingren, Yang Mingcheng. Classification Unification of Calculation Formulation for Safety Factor of Slope Stability[J]. Chinese Journal of Rock Mechanics and Engineering, 2004(8): 2823~2841 (In Chinese)

[2] Mingjie Zhao, Guangchun He, etc. Technology of Treatment of Slope Engineering[M]. China Communication Press, 2003. p:27~31 (In Chinese)

[3] Tinghao Lu. Soil Mechanics[M]. Hehai University Press, 2005. p:255~257 (In Chinese)

[4] DAI Zi-hang, LU Cai-jin. Mechanical Explanations on Mechanism of Slope Stability[J]. Chinese Journal of Geotechnical Engineering, 2006(10): 1191~1197 (In Chinese)

[5] Chen Z，Morgenstern N R. Extensions to the Generalized Method of Slices for Stability Analysis，Canadian Geotechnical Journal，1983(1),104-109

DOI: 10.1139/t83-010

[6] Chen Zuyu. the Generalized Method of Slices for Slope Stability Analysis and It Modification[J]. Chinese Journal of Geotechnical Engineering, 1983(4): 11~17 (In Chinese)

[7] Peck R. Fifty years' of lateral earth pressure[C]，Design and Performance of Earth Retaining Structures，Proc. of Conf. Cornel University, Ithaca, New York: ASCE Geotechnical Special Publication, 1990(25)

[8] Guangxin Li. Advanced Soil Mechanics[M]. Tsinghua University Press, 2004. p:323~325 (In Chinese)

[9] ZOU Guang-dian, WEI Ru-long. Study of Theory and Method for Numerical Solution of General Limit Equilibrium Method[J]. Chinese Journal of Rock Mechanics and Engineering, 2006(2): 363~370 (In Chinese)