A rational estimating method of the earth pressure on a shaft wall considering the shape ratio

Young-Wan Shin; Myung Sagong

doi:None

All Issue

2007 Vol.9, Issue 2 Preview Page Next Page

A rational estimating method of the earth pressure on a shaft wall considering the shape ratio 벽체형상비의 영향을 합리적으로 고려한 원형수직구 벽체에 작용하는 토압산정방법

30 June 2007. pp. 143-155

PDF XML

Abstract

The earth pressure acting on a circular shaft wall is smaller than that acting on the wall in plane strain condition due to the three dimensional axi-symmetric arching effect. Accurate estimation of the earth pressure is required for the design of the shaft wall. In this study, the stress model considering the decrease of earth pressure due to the horizontal and vertical arching effect and the influence of shape ratio (shaft height/radius) is proposed. In addition, model test on the sandy soil is conducted and a comparison is made between the stress model and the test results. The comparison shows that the proposed stress model is in agreement with test results; decrease of shape ratio (increase of radius) leads to stress state equal to the plane strain condition and approximate stress distribution is found between stress model and model test results.

Keywords

Shaft

cylindrical retaining wall

arching effect

earth pressure

shape ratio

원형수직구 벽체에 작용하는 토압은 축대칭 아칭효과로 인하여 평면변형조건의 벽체에 작용하는 토압보다는 작으며, 원형수직구 흙막이벽이나 라이닝 등의 설계를 위해서는 벽체에 작용하는 토압의 정확한 산정이 필요하다. 따라서, 수평 및 연직방향 아칭효과에 의한 토압감소를 고려하고 수직구 벽체 반경에 대한 높이의 비로 정의되는 벽체형상비의 영향을 합리적으로 고려한 토압산정식이 제안되었다. 또한, 모래지반에서 모형실험에 의한 토압이 분석되었다. 제안된 토압산정식에 의한 토압은 벽체반경이 증가하여 벽체형상비가 감소함에 따라 평면변형조건의 토압과 정확히 일치하였으며, 모형실험에 의한 토압분포와 근사한 경향을 나타내었다.

키워드

원형수직구

원통형 벽체

아칭효과

토압

벽체형상비

References

1.신영완 (2004), “사질토 지반에 설치된 원형수직구의 흙막이벽에 작용하는 토압”, 한양대학교, 박사학위 논문, pp. 55-114.

2.천병식, 신영완 (2003), “사질토 지반의 원형수직구에 설치된 흙막이벽에 작용하는 토압”, 한국지반공학회 논문집, 제19권, 제5호, pp. 175-188.

3.천병식, 신영완 (2006), “원형수직구의 흙막이 벽체에 작용하는 주동토압”, 한국지반환경공학회 논문집, 제7권, 제4호, pp. 15-24.

4.천병식, 신영완, 문경선 (2004), “사질토 지반의 원형수직구에 설치된 흙막이벽에 작용하는 토압: 적용성 연구”, 한국지반공학회 논문집, 제20권, 제4호, pp. 75-88.

5.Berezantzev, V. G. (1952), “An axial-symmetric problem of limit equilibrium in a cohesionless medium”, Moscow.

6.Coulomb, C. A. (1776), “Essais sur une application des regles des maximis et minimis a quelques problems de statique relatis a l'architecture”, Mem. Acad. Roy. Pres. Divers, Sav., Vol. 7, Paris.

7.Fara, H. D., Wright, F. D. (1963), “Plastic and elastic stresses around a circular shaft in a hydrostatic stress field”, Society of Mining Engineers, pp. 319-320.

8.Handy, R. L. (1985), “The arch in soil arching”, J. of Geotech. Eng., ASCE, Vol. 111, No. 3, pp. 302-318.

9.Müller-Kirchenbauer, H., Walz, B., Klapperich, U. H. (1980), “Experimentelle und Theoretische Untersuchungen zum Erddruckproblem auf radial symmetrische Senkkästen und Schächte. Veröff. des Grundbauinstitutes der TU Berlin”, H.7, p. 113.

10.Paik, K. H., Salgado, R. (2003), “Estimation of active earth pressure against rigid retaining walls considering arching effects”, Geotechnique, Vol. 53, No. 7, pp. 643- 653.

11.Prater, E. G. (1977), “An examination of some theories of earth pressure on shaft linings”, Can. Geotech. J., Vol. 14, pp. 91-106.

12.Rankine, W. J. M. (1857), “On the stability of loose earth”, Phil. Trans. Roy. Soc., Lond. 147, Part 1, pp. 9-27.

13.Steinfeld, K. (1958), “Uber den erddruck auf schacht und brunnenwandungen”, Contribution to the Foundation Engi-neering Meering, Hambrug, German Soc. of Soil Mech. Found. Eng., pp. 111-126.

14.Szechy, K. (1966), “The art of tunnelling”, Akademiai kiado, Budapest, pp. 909-924.

15.Terzaghi, K. (1943a), “Theoretical soil mechanics”, John Wiley and Sons, pp. 66-76.

16.Terzaghi, K. (1943b), “Theoretical soil mechanics”, John Wiley and Sons, pp. 202-215.

17.Wong, R. C. K. (1986), “Design and performance evalua-tion of tunnels and shafts”, Ph. D. Thesis, The University of Alberta, Department of Civil Engineering.

18.Wong, R. C. K., Kaiser, P. K. (1988a), “Design and performance evaluation of vertical shafts: rational shaft design method and verification of design method”, Can. Geotech. J., Vol. 25. pp. 320-337.

19.Wong, R. C. K., Kaiser, P. K. (1988b), “Behavior of vertical shafts : reevaluation of model test results and evaluation of field measurements”, Can. Geotech. J., Vol. 25, pp. 338-352.

Information

Publisher :Korean Tunneling and Underground Space Association
Publisher(Ko) :한국터널지하공간학회
Journal Title :Journal of Korean Tunnelling and Underground Space Association
Journal Title(Ko) :한국터널지하공간학회 논문집
Volume : 9
No :2
Pages :143-155

Journal of Korean Tunnelling and Underground Space Association ISSN:2233-8292(Print) 2287-4747(Online) 한국터널지하공간학회 논문집

All Issue