|
|
|
| THREE-DIMENSIONAL BEARING CAPACITY OF RECTANGULAR FOOTING BASED ON MODIFICATION OF NORMAL STRESSES OVER SLIP SURFACE |
| SHEN Yinbin1，2，ZHU Dayong2，3，LU Kunlin2，3 |
(1. Institute of Architecture Design，Hefei University of Technology，Hefei，Anhui 230009，China；2. Anhui Key Laboratory of
Civil Engineering and Materials，Hefei University of Technology，Hefei，Anhui 230009，China；3. School of Civil and
Hydraulic Engineering，Hefei University of Technology，Hefei，Anhui 230009，China) |
|
|
|
|
Abstract A new method was proposed for three-dimensional analysis of the bearing capacity of shallow rectangular footing based on the modification of normal stresses over the slip surface. Firstly，the shape of the slip surface was assumed as an ellipsoid composed of a set of log-spirals with different initial radii in the direction of the longer axis of the footing base. Secondly，a method for calculating the bearing capacity of a fixed three-dimensional slip surface was established based on the modification of normal stresses over the slip surface to improve the limit equilibrium solution of 3D slope stability. Finally，the bearing capacities were obtained for the footing with selected fixed three-dimensional slip surfaces resulted from changing the positions of the pole of log-spirals so that the minimum bearing capacity was determined. The bearing capacity coefficients were then given for calculating the bearing capacity with the method of superposition in the conventional bearing capacity formula. The effects of the angle of internal friction and the length-width ratio of footing were investigated. An example was presented to calculate the bearing capacity and the calculated results were compared with those from other methods. The results demonstrate its accuracy，reasonability and high effectiveness in the three-dimensional bearing capacity analysis of rectangular shallow footing.
|
|
Received: 27 December 2013
|
|
|
|
| [1] TERZAGHI K. Theoretical soil mechanics[M]. New York：John Willy and Sons，1943：118–143.
[2] MEYERHOF G G. Some recent research on the bearing capacity of foundations[J]. Canadian Geotechnical Journal，1963，1(1)：16–26.
[3] DE BEER E E. Experimental determination of the shape factors and the bearing capacity factors of sand[J]. Geotechnique，1970，20(4)：387–411.
[4] HANSEN J B. A revised extended formula for bearing capacity[C]// Bulletin of Danish Geotechnical Institute. Copenhagen：Denmark，1970：5–11.
[5] NARITA K，YAMAGUCHI H. Three-dimensional bearing capacity analysis of foundations by use of a method of slices[J]. Soils and Foundations，1992，32(4)：143–155.
[6] MICHALOWSKI R L. Upper-bound load estimates on square and rectangular footings[J]. Geotechnique，2001，51(9)：787–798.
[7] SALGADO R，LYAMIN A V，SLOAN S W，et al. Two-and three-dimensional bearing capacity of foundations in clay[J]. Geotechnique，2004，54(5)：297–306.
[8] MAJIDI A R，MIRGHASEMI A A. Seismic 3D bearing capacity analysis of shallow foundations[J]. Iranian Journal of Science and Technology，2008，32(B2)：107–124.
[9] 周 中，傅鹤林，李 亮. 圆形浅基础地基承载力的理论解[J]. 长沙铁道学院学报，2002，20(3)：12–16.(ZHOU Zhong，FU Helin，LI Liang. Theoretical solution of bearing capacity of shallow circular foundation[J]. Journal of Changsha Railway University，2002，20(3)：12–16.(in Chinese))
[10] 李 伟，熊巨华，杨 敏. 方形浅基础地基极限承载力的理论解[J]. 同济大学学报，2004，32(10)：1 325–1 327.(LI Wei，XIONG Juhua，YANG Min. Theoretical solution of ultimate bearing capacity of soil under shallow square foundation[J]. Journal of Tongji University，2004，32(10)：1 325–1 327.(in Chinese))
[11] 蒋益平，熊巨华. 方形和圆形基础地基极限承载力分析[J]. 岩土力学，2005，26(12)：1 991–1 995.(JIANG Yiping，XIONG Juhua. Analysis of ultimate bearing capacity of square and circular foundations[J]. Rock and Soil Mechanics，2005，26(12)：1 991–1 995.(in Chinese))
[12] 朱大勇，刘华丽，丁秀丽，等. 对称边坡三维稳定性计算方法[J]. 岩石力学与工程学报，2007，26(1)：22–27.(ZHU Dayong，LIU Huali，DING Xiuli，et al. Method of three-dimensional stability analysis of a symmetrical slope[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(1)：22–27.(in Chinese))
[13] 朱大勇，钱七虎. 三维边坡严格与准严格极限平衡解答及工程应用[J]. 岩石力学与工程学报，2007，26(8)：1 513–1 528.(ZHU Dayong，QIAN Qihu. Rigorous and quasi-rigorous limit equilibrium solutions of 3D slope stability and application to engineering[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(8)：1 513–1 528.(in Chinese))
[14] 陈仲颐，周景星，王洪瑾. 土力学[M]. 北京：清华大学出版社，1994：70–77.(CHEN Zhongyi，ZHOU Jingxing，WANG Hongjin. Soil mechanics[M]. Beijing：Tsinghua University Press，1994：70–77.(in Chinese))
[15] NARITA K，YAMAGUCHI H. Analysis of bearing capacity for log-spiral sliding surfaces[J]. Soils and Foundations，1989，29(2)：85–98.
[16] VESIC A S. Analysis of ultimate loads on shallow foundations[M]. New York：Van Nostrand Reinhold，1975：121–144.
[17] MATSUMOTO Y，KOBAYASHI T，KUSAKABE O. Model tests on bearing capacity of circular and rectangular footings on sand[C]// Proceedings of the 24th Japan National Conference on CMFE. [S. l.]：[s. n.]，1989，1 249–1 250. |
|
|
|
2014, Vol. 33 
