DOI QR코드

DOI QR Code

Effect of seismic acceleration directions on dynamic earth pressures in retaining structures

  • Nian, Ting-Kai (School of Civil Engineering & State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology) ;
  • Liu, Bo (School of Civil Engineering & State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology) ;
  • Han, Jie (Department of Civil, Environmental and Architectural Engineering, the University of Kansas) ;
  • Huang, Run-Qiu (State Key Laboratory of Geohazard Prevention and Geoenvironmental Protection, Chengdu University of Technology)
  • 투고 : 2013.02.24
  • 심사 : 2014.05.16
  • 발행 : 2014.09.25

초록

In the conventional design of retaining structures in a seismic zone, seismic inertia forces are commonly assumed to act upwards and towards the wall facing to cause a maximum active thrust or act upwards and towards the backfill to cause a minimum passive resistance. However, under certain circumstances this design approach might underestimate the dynamic active thrust or overestimate the dynamic passive resistance acting on a rigid retaining structure. In this study, a new analytical method for dynamic active and passive forces in c-${\phi}$ soils with an infinite slope was proposed based on the Rankine earth pressure theory and the Mohr-Coulomb yield criterion, to investigate the influence of seismic inertia force directions on the total active and passive forces. Four combinations of seismic acceleration with both vertical (upwards or downwards) and horizontal (towards the wall or backfill) directions, were considered. A series of dimensionless dynamic active and passive force charts were developed to evaluate the key influence factors, such as backfill inclination ${\beta}$, dimensionless cohesion $c/{\gamma}H$, friction angle ${\phi}$, horizontal and vertical seismic coefficients, $k _h$ and $k_v$. A comparative study shows that a combination of downward and towards-the-wall seismic inertia forces causes a maximum active thrust while a combination of upward and towards-the-wall seismic inertia forces causes a minimum passive resistance. This finding is recommended for use in the design of retaining structures in a seismic zone.

키워드

참고문헌

  1. Budhu, M. and Al-Karni, A.V. (1993), "Seismic bearing capacity of soils", Geotechnique, 43(1), 181-187. https://doi.org/10.1680/geot.1993.43.1.181
  2. Chen, W.F. (2007), Limit Analysis and Soil Plasticity, J. Ross Publishing, Fort Lauderdale, FL, USA.
  3. Choudhury, D. and Nimbalkar, S. (2005), "Seismic passive resistance by pseudo-dynamic method", Geotechnique, 55(9), 699-702. https://doi.org/10.1680/geot.2005.55.9.699
  4. Das, B.M. (2008), Fundamentals of Geotechnical Engineering, (3rd Edition), Cengage Learning, Stanford, CA, USA.
  5. Fang, Y.S. and Chen, T.J. (1995), "Modification of Mononobe-Okabe theory", Geotechnique, 45(1), 165-167. https://doi.org/10.1680/geot.1995.45.1.165
  6. Ghosh, P. (2008), "Seismic active earth pressure behind a nonvertical retaining wall using pseudo-dynamic analysis", Can. Geotech. J., 45(7), 117-123. https://doi.org/10.1139/T07-071
  7. Gnanapragasam, N. (2000), "Active earth pressure in cohesive soils with an inclined ground surface", Can. Geotech. J., 37(2), 171-177. https://doi.org/10.1139/t99-091
  8. Kapila, J.P. (1962), "Earthquake resistant design of retaining walls", Proceedings of the Second Earthquake Symposium, Roorkee, India, December.
  9. Lancellotta, R. (2002), "Analytical solution of passive earth pressure", Geotechnique, 52(8), 617-619. https://doi.org/10.1680/geot.2002.52.8.617
  10. Lancellotta, R. (2007), "Lower-bound approach for seismic passive earth resistance", Geotechnique, 57(3), 319-321. https://doi.org/10.1680/geot.2007.57.3.319
  11. Ling, H.I. and Leshchinsky, D. (1998), "Effects of vertical acceleration on seismic design of geosyntheticreinforced soil structures", Geotechnique, 48(3), 347-373. https://doi.org/10.1680/geot.1998.48.3.347
  12. Mononobe, N. (1924), "Consideration into earthquake vibrations and vibration theories", J. Japan. Soc. Civil Eng., 10(5), 1063-1094.
  13. Nian, T.K. and Han, J. (2013), "Analytical solution for seismic earth pressures in c-$\phi$ soil with an infinite slope", Technical Note, ASCE J. Geotech. Geoenviron. Eng., 139(9), 1611-1616. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000873
  14. Okabe, S. (1924), "General theory on earth pressure and seismic stability of retaining wall and dam", J. Japan. Soc. Civil Eng., 10(5), 1277-1323.
  15. Richards, R. and Shi, X. (1994), "Seismic lateral pressures in soils with cohesion", J. Geotech. Eng., ASCE, 120(7), 1230-1251. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:7(1230)
  16. Richards, R., Elms, D.G. and Budhu, M. (1990), "Dynamic fluidization of soils", J. Geotech. Eng., ASCE, 116(5), 740-759. https://doi.org/10.1061/(ASCE)0733-9410(1990)116:5(740)
  17. Seed, H.B. and Whitman, R.V. (1970), "Design of earth retaining structures for dynamic loads", Proceedings of Special Conference on Lateral Stresses in the Ground and Design of Retaining Structures, Ithaca, New York, USA, June.
  18. Shukla, S.K. and Habibi, D. (2011), "Dynamic passive pressure from c-$\phi$ soil backfills", Soil Dyn. Earthq. Eng., 31(6), 845-848. https://doi.org/10.1016/j.soildyn.2011.01.009
  19. Shukla, S.K., Gupta, S.K. and Sivakugan, N. (2009), "Active earth pressure on retaining wall for c-$\phi$ soil backfill under seismic loading condition", J. Geotech.Geoenviron. Eng., ASCE, 135(5), 690-696. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000003
  20. Terzaghi, K. (1943), Theoretical Soil Mechanics, John Wiley Sons, Inc., New York, NY, USA.
  21. Wood, J.H. (1973), "Earthquake-induced soil pressures on structures", Ph.D. Dissertation, California Institute of Technology, Pasadena, CA, USA.
  22. Yao, L., Feng, J. and Yang, M. (2009), "Damage analysis of subgrade structures in Wenchuan earthquake and recommendations for improving seismic design code", J. Southwest Jiaotong Univ., 44(3), 301-311.

피인용 문헌

  1. Coefficient charts for active earth pressures under combined loadings vol.8, pp.3, 2015, https://doi.org/10.12989/gae.2015.8.3.461
  2. Static and seismic active lateral earth pressure coefficients for c-ϕ soils vol.10, pp.5, 2016, https://doi.org/10.12989/gae.2016.10.5.657
  3. Seismic response of geosynthetic reinforced retaining walls vol.10, pp.5, 2016, https://doi.org/10.12989/gae.2016.10.5.635
  4. Earth pressure on a vertical shaft considering the arching effect in c-𝜙 soil vol.11, pp.6, 2014, https://doi.org/10.12989/gae.2016.11.6.879
  5. Investigation on seismic behavior of combined retaining structure with different rock shapes vol.73, pp.5, 2020, https://doi.org/10.12989/sem.2020.73.5.599
  6. Active earth pressure against inclined rigid retaining wall considering rotation of principal stresses under translation mode vol.14, pp.24, 2014, https://doi.org/10.1007/s12517-021-08057-4