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J4  2010, Vol. 44 Issue (10): 2029-2035    DOI: 10.3785/j.issn.1008-973X.2010.10.031
    
Elastoplastic analytical computation of laterally loaded long pile
CHANG Lin yue1,3, WANG Jin chang2, ZHU Xiang rong1, XIE Xin yu1
1. Key Laboratory of Soft Soils and Geoenvironmental Engineering, Ministry of Education, Zhejiang University, Hangzhou 310058, China; 2. Institute of Transportation Engineering, Zhejiang University, Hangzhou 310058, China; 3. East China Architecture Design Institute, Shanghai 200002, China
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Abstract  

The consideration of the nonlinear constitutive relations of soil for analyzing laterally loaded piles causes complex calculation or parameters difficult to obtain, which is inconvenient for engineering applications. The fundamental solutions of governing equation about the semiinfinite long pile under lateral loading were given based on mmethod of the linear elastic foundation and simplified elastoplastic constitutive relations of soil. The unified dimensionless analytical expressions of both the loadmaximun deflection relations and the loadmaximum moment relations under various loading cases were derived. The maximun deflection and the maximum moment can be expediently calculated by simple mathematical programs. The complex analytical solutions were simplified for more easily applying to engineering calculation. Results showed that the simplified equations calculated using a calculator agreed well with the exact solutions, and the largest error was less than 1%.



Published: 01 October 2010
CLC:  TU 473.1  
Cite this article:

CHANG Lin yue, WANG Jin chang, ZHU Xiang rong, XIE Xin yu. Elastoplastic analytical computation of laterally loaded long pile. J4, 2010, 44(10): 2029-2035.

URL:

http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2010.10.031     OR     http://www.zjujournals.com/eng/Y2010/V44/I10/2029


水平受荷长桩弹塑性解析计算

针对目前水平受荷桩计算中考虑土体非线性本构关系后,导致计算复杂或参数难以获取而不易于工程应用的问题,基于线弹性地基m法和桩侧土体简化的弹塑性本构关系,给出水平受荷半无限长桩控制方程的基本解,推导不同工况下桩身最大挠度和最大弯矩与荷载关系的统一的量纲一的解析表达式,编制简单的数学程序可以方便地计算最大挠度和最大弯矩.对复杂的解析解进行简化,计算表明,简化的计算式与解析解计算结果吻合很好,最大误差小于1%,借助计算器可以进行相关计算,大大方便了工程的计算应用.

[1] 韩理安.水平承载桩的计算[M].长沙:中南大学出版社,2004: 7-12.

[2] 戴自航,陈林靖.多层地基中水平荷载桩计算m法的两种数值解[J].岩土工程学报,2007, 29(5): 690-696.

DAI Zihang, CHEN Linjing. Two numerical solutions of laterally loaded piles installed in multilayered soils by m method [J]. Chinese Journal of Geotechnical Engineering, 2007, 29(5): 690-696.

[3] 周洪波,杨敏,杨桦.水平受荷桩的耦合算法[J].岩土工程学报,2005,27(4): 432-436.

ZHOU Hongbo, YANG Min, YANG Hua. A coupling analytical solution of piles subjected lateral loads [J]. Chinese Journal of Geotechnical Engineering, 2005, 27(4): 432-436.

[4] HSIUNG Y M, CHEN Y L. Simplified method for analyzing laterally loaded single piles in clays [J]. Journal of Geotechnical and Geoenvironmental Engineering, 1997, 123(11): 1018-1029.

[5] BROMS B B. Lateral resistance of piles in cohesive soils [J]. Journal of the Soil Mechanics and Foundation division, ASCE, 1964, 90(2): 27-63.

[6] MATLOCK H, REESE L C. Generalized solutions for laterally loaded piles [J]. Journal of the Soil Mechanics and Foundation division, ASCE, 1960, 86(5): 63-91.

[7] POULOS H G. Behavior of laterally loaded piles. I: single piles [J]. Journal of the Soil Mechanics and Foundation division, ASCE, 1971, 97(5): 711-731.

[8] HSIUNG Y M. Theoretical elasticplastic solution for laterally loaded piles [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2003, 129(6): 475-480.

[9] FLEMING W G K, WELTMAN A J, RANDOLPH M F, et al. Piling engineering [M]. New York: Wiley, 1992: 228-235.

[10] 王伯惠,上官兴.中国钻孔灌注桩新发展[M].北京:人民交通出版社,1999: 205-216.

[11] FRANKLIN J N, SCOTT R F. Beam equation with variable foundation coefficient [J]. Journal of the Engineering Mechanics Division, 1979, 105(5): 811-827.

[12] BOWLES J E. Foundation analysis and design [M]. New York: McGrawHill, 1977: 929-948.

[13] GUO W D. On limiting force profile, slip depth and response of lateral piles [J]. Computers and Geotechnics, 2006, 33(1): 47-67.

[14] BROWN D A, SHIE C. Three dimensional finite element model of laterally loaded piles [J]. Computers and Geotechnics, 1990, 10(1): 59-79.

[15] YANG Z, JEREMIC B. Numerical analysis of pile behaviour under lateral loads in layered elasticplastic soils [J]. International Journal of Numerical and Analytical Methods in Geomechanics, 2002, 26(14): 1385-1406.

[16] PAN J L, GOH A T C, WONG K S, et al. Model tests on single piles in soft clay [J]. Canadian Geotechnical Journal, 2000, 37(4): 890-897.

[17] MATLOCK H. Correlations for design of laterally loaded piles in soft clay [C]∥ The 2nd Annual Offshore Technology Conference. Houston: Texas, 1970: 577-588.

[18] REESE L C, COX W R, KOOP F D. Analysis of laterally loaded piles in sand [C]∥ The 6th Annual Offshore Technology Conference. Houston: Texas, 1974: 473-480.

[19] 郭大智,马松林.路面力学中的工程数学[M].黑龙江:哈尔滨工业大学出版社,2001: 26-42.

[20] 赵明华,王贻荪,肖鹤松.多层地基横向受荷桩的分析[J].建筑结构,1994,24(2): 6-10.

ZHAO Minghua, WANG Yisun, XIAO Hesong. Analysis of laterally loaded piles in multisubgrade [J]. Building Structure, 1994, 24(2): 6-10.

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