Shukla developed an explicit generalized analytical expression for dynamic active thrust on the retaining wall from cohesive-frictional soil backfill subjected to seismic loads by considering the equilibrium of an active failure wedge. In this paper, the inclined slice element approach has been used to derive this expression. Using this approach, the nonlinear distribution of the active earth pressure/thrust and its application position are obtained with a few assumptions. The generalized expressions can be applied to the calculation of active thrusts from cohesive or cohesionless soil backfill for the specialized cases of static and dynamic conditions. It is found that the active thrust values from the derived expressions are consistent with with Rankine’s expression, Coulomb's expression, and Mononobe-Okabe's expressions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. Okabe, "General theory of earth pressure," J. Jpn. Soc. Civ. Eng., 12(1), 311 (1926).
N. Mononobe and H. Matsuo, "On the determination of earth pressure during earthquake," Proc. of the World Engineering Congress, Tokyo, Japan, 177-185 (1929).
H. B. Seed and R. V. Whitman, "Design of earth retaining structures for dynamic loads," Proc. Speciality Conf. on Lateral Stresses in the Ground and Design of Earth Structures, ASCE, New York, 103-147 (1970).
B. M. Das and G. V. Ramana, Principles of Soil Dynamics, 2nd edn, Stamford, Cengage Learning (2011).
S. K. Shukla, S. K. Gupta and N. Sivakugan, "Active earth pressure on retaining all for c − φ soil backfill under seismic loading condition," J. Geotech. Geoenviron. Eng., ASCE, 135(5), 690-696 (2009).
S. K. Shukla, "Dynamic active thrust from soil backfills," Soil Dyn. Earthquake Eng., 31(3), 526-529 (2011).
S. K. Shukla, "Generalized analytical expression for dynamic active thrust from soil backfills," Int. J. Geotech. Eng., 9(4), 416-421 (2015).
R. S. Steedman and X. Zeng, "The influence of phase on the calculation of pseudo-static earth pressure on a retaining wall," Geotechnique, 40(1), 103-112 (1990).
X. Zeng and R. S. Steedman, "On the behavior of quay walls in earthquakes," Geotechnique, 43(3), 417-431 (1993).
S. Ghosh and R.P. Sharma, "Seismic active earth pressure on the back of battered retaining wall supporting inclined backfill," Int. J. Geomech., 12(1), 54-63 (2012).
D. Choudhury and S. Nimbalkar, "Pseudo-dynamic approach of seismic active earth pressure behind retaining wall," J. Geotech. Geol. Eng., 24(5), 1103-1113 (2006).
B. M. Basha and G. L. S. Babu, "Seismic rotational displacements of gravity walls by pseudo-dynamic method with curved rupture surface," Int. J. Geomech., 10(3), 93-105 (2010).
Y. L. Lin, G. L. Yang, and L. H. Zhao, "Active earth pressure of cohesive soil behind retaining wall under seismic condition," Rock Soil Mech., 32(8), 2479-2486 (2011).
K. Terzaghi, Theoretical Soil Mechanics, John Wiley & Sons, New York (1943).
K. H. Paik and R. Salgado, "Estimation of active earth pressure against rigid retaining walls considering arching effects," Geotechnique, 53(7), 643-653 (2003).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 2, p. 8, March-April, 2019.
Rights and permissions
About this article
Cite this article
Peng, J., Zhu, Y. Derivation of Shukla’s Generalized Expression for Dynamic Active Thrust by Inclined Slice Element Method. Soil Mech Found Eng 56, 77–81 (2019). https://doi.org/10.1007/s11204-019-09573-y
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11204-019-09573-y