The Effect of Friction at the Strip Footings’ Underside on the Expansion of Plastic Zones in Subgrade

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Abstract:

There exists horizontal friction besides vertically pressure at the foundations' underside. Considering the effect of friction on the expansion of plastic zones in subgrade is needed to accurately evaluate subgrade’s safety. A strip footing is chose as the research object. Assuming the distribution of friction at the strip footing’s underside is two symmetrical triangles. With the help of Flamant formula and via definite integration, the formulas of stress in subgrade induced by the friction are got. Setting the Coulomb-Mohr strength theory as the yielding criterion for the subgrade soil, through the comparison among the different friction angles in expansion characteristics of plastic zones, the research object is achieved. Two major conclusions as following: (1) the friction makes the plastic zones appear in advance, the initial critical load get smaller with the friction get bigger; (2) the plastic zones get broader in horizontal direction under the action of the friction, this makes the plastic zones in two sides beneath the footing run-through later and so enhances the subgrade’s ultimate bearing capacity.

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Periodical:

Advanced Materials Research (Volumes 1008-1009)

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1227-1233

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August 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] GB5007-2011 Code for design of building foundation in China[S]. Beijing: China Building Industry Press, 2011. (in Chinese).

Google Scholar

[2] R.F. Craig. Craig's Soil mechanics[M]. Spon Press, 7th edition, (2004).

Google Scholar

[3] Chen Xiao-ping. Soil mechanics and foundation engineering[M]. Beijing: Water Resources & Electrical Power Press, 1995. (in Chinese).

Google Scholar

[4] Yong Jing-rong. Soil mechanics and foundation engineering[M]. Chengdu: Chengdu Sci. & Tech. University Press, 1995. (in Chinese).

Google Scholar

[5] Mindlin R. Force at a point in the interior of a semi-infinite solid[J]. Physics, Vol. 7(1936),P. 195-202.

DOI: 10.1063/1.1745385

Google Scholar

[6] Hsu Chi-In. Calculation of vertical pressures in soil beneath loaded areas on Mindlin's formula[J]. China Civil Engineering Journal, Vol. 4(1954),P. 485-497. (in Chinese).

Google Scholar

[7] Zhou Wen-yi. Discussion of calculation of vertical pressures in soil beneath loaded areas on Mindlin's formula, [J]. China Civil Engineering Journal, Vol. 8(1958),P. 455-458. (in Chinese).

Google Scholar

[8] CHEN Le-yi, LI Jing-pei, LIANG Fa-yun. Critical load of ground considering load embedded depth and variation of K0[J]. Chinese Journal of Geotechnical Engineering, Vol. 32(2010),P. 1930-1934. (in Chinese).

Google Scholar

[9] Junshan Li, Edward J. Berger. A Boussinesq-Cerruti Solution Set for Constant and Linear Distribution of Normal and Tangential Load over a Triangular Area[J]. Journal of Elasticity, Vol. 63(2011),P. 137-151.

Google Scholar

[10] Deng Xue-jun, LI Chang. The stress of road structure under horizontal load[J]. Chinese Journal of Geotechnical Engineering, Vol. 24(2002),P. 427-431. (in Chinese).

Google Scholar

[11] Xu Zhi-lun. A concise course of elastic mechanics[M]. Beijing: Higher Education Press, 1996. (in Chinese).

Google Scholar

[12] Mathematics teaching & researching group in Tongji University. Beijing: Higher mathematics[M]. Higher Education Press, 1996. (in Chinese).

Google Scholar

[13] G. T. Houlsby, A. M. Puzrin. The bearing capacity of a strip footing on clay under combined loading[J]. Proc. R. Soc. Lond. A(1999)455, 893-916.

DOI: 10.1098/rspa.1999.0340

Google Scholar

[14] Fan Wen, Lin Yongliang, QIN Yuhu. Formula of critical load of foundation based on the unified strength theory[J]. Journal of Chang'an University (Earth Science Edition), Vol. 25(2003),P. 48-51.

Google Scholar

[15] Zhou An-nan,Luo Ting, Yao Yang-ping. Formula of critical edge load of strip foundation under complex stress state[J]. Rock and Soil Mechanics, Vol. 25(2004),P. 1599-1602. (in Chinese).

Google Scholar

[16] Fan Wen, Bai Xiao-yu, Yu Mao-hong. Formula of ultimate bearing capacity of shallow foundation based on unified strength theory[J]. Rock and Soil Mechanics, Vol. 26(2005),P. 1617-1622. (in Chinese).

Google Scholar

[17] Wang Xianqiu, Yang Linde, Gao Wenhua. Calculation of bearing capacity about the strip foundation based on the twin shear unified strength theory[J]. China Civil Engineering Journal, Vol. 39(2006),P. 79-82. (in Chinese).

Google Scholar

[18] Chen Le-yi, Li Jing-pei, Liang Fa-yun. Critical load of ground considering load embedded depth and variation of K0[J]. Chinese Journal of Geotechnical Engineering, Vol. 32(2010),P. 1930-(1934).

Google Scholar