确定扩展基础基底尺寸的一种解析解法

丁洲祥; 崔超; 曾巧玲

确定扩展基础基底尺寸的一种解析解法 English Version

丁洲祥^{1, 2},
崔超¹,
曾巧玲¹

1. 北京交通大学土建学院,北京 100044; 2.中国矿业大学深部岩土力学与地下工程国家重点实验室,江苏徐州 221008

基金项目: 国家自然科学基金项目（41172221

详细信息

作者简介:
丁洲祥（1976- ），男，山东胶南人，博士，副教授，主要从事岩土力学与地下工程教学和科研工作。E-mail: dingzhouxiang@163.com。

中图分类号: TU47
计量
- 文章访问数: 366
- HTML全文浏览量: 0
- PDF下载量: 345
出版历程
- 收稿日期: 2012-07-03
- 发布日期: 2013-10-19

An analytical solution for calculating base-plane size of spread footings

1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China; 2. State Key Laboratory for Geomechanics & Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221008, China

摘要

摘要: 针对传统的确定扩展基础基底面积的逐次渐进试算法在计算效率等方面的不足,根据极限状态设计原则和中国国家标准《建筑地基基础设计规范》要求,分别提出中心荷载和偏心荷载条件下扩展基础基底面积计算的一种简洁的解析求解新方法。该法将承载力验算公式转换为一元三次不等式和一元四次不等式,从而理论上可分别采用Cardan公式法或Ferrari法进行求解。简便起见,也可借助MAPLE等数学软件,快速和精确地得到满足验算要求的基底面积下限解答。通过算例对比分析,验证了该法的优越性,为基础工程优化设计提供新的参考。
- 扩展基础 /
- 解析解 /
- 中心荷载 /
- 偏心荷载 /
- 基底面积
Abstract: With regard to the disadvantages of the conventional iteration method for determining base-plane size of spread footings, a novel analytical method is proposed for design of base-plane size under centric and eccentric loads respectively, according to the concepts of the limit state and the specifications of Chinese National Code of Foundation Design for Buildings. In this method, the check formulae for bearing capacity of spread footings are transformed into cubic and/or quartic inequalities with one unknown quantity, which can be solved easily with Cardan’s or Ferrari’s methodology. For the sake of convenience, the advanced mathematical software such as MAPLE can be used to provide accurate value of base-plane size with a lower limit. Finally, the validity of the proposed method is verified through a case study, which proves the new method can provide good reference for engineering practice.
- spread footing /
- analytical solution /
- centric load /
- eccentric load /
- base-plane size

HTML全文

参考文献(12)

[1]	曾巧玲, 崔江余, 陈文化, 等. 基础工程[M]. 北京: 清华大学出版社, 北京交通大学出版社, 2007. (ZENG Qiao-ling, CUI Jiang-yu, CHEN Wen-hua, et al. Foundation engineering[M]. Beijing: Tsinghua University Press, Beijing Jiaotong University Press, 2007. (in Chinese))
[2]	周景星, 李广信, 虞石民, 等. 基础工程[M]. 2版. 北京: 清华大学出版社, 2007. (ZHOU Jing-xing, LI Guang-xin, YU Shi-min, et al. Foundation engineering[M]. 2nd ed. Beijing: Tsinghua University Press, 2007. (in Chinese))
[3]	莫海鸿, 杨小平. 基础工程[M]. 北京: 中国建筑工业出版社, 2003. (MO Hai-hong, YANG Xiao-ping. Foundation engineering[M]. Beijing: China Architecture & Building Press, 2003. (in Chinese))
[4]	约瑟夫E 波勒斯. 基础工程分析与设计[M]. 童小东, 等译.北京: 中国建筑工业出版社, 2004. (Joseph E Bowles. Foundation analysis and design[M]. TONG Xiao-dong, et al, trans. Beijing: China Architecture & Building Press, 2004. (in Chinese))
[5]	李亮, 魏丽敏. 基础工程[M]. 长沙: 中南大学出版社, 2005. (LI Liang, WEI Li-min. Foundation engineering[M]. Changsha: Central South University Press, 2005. (in Chinese)
[6]	张明义. 基础工程[M]. 北京: 中国建材工业出版社, 2002. (ZHANG Ming-yi. Foundation engineering[M]. Beijing: China Building Materials Press, 2002. (in Chinese))
[7]	郭继武. 偏心受压基础直接计算法[J]. 冶金建筑, 1979(3): 32-36. (GUO Ji-wu. Direct calculating method for eccentrically loaded footings[J]. Metallurgical Buildings, 1979(3): 32-36. (in Chinese))
[8]	王士杰, 李立华, 马凤奎, 等. 单向偏心受压基础直接计算新方法[J]. 河北农业大学学报, 1997, 20(2): 99-102. (WANG Shi-jie, LI Li-hua, MA Feng-kui, et al. A new method to direct calculating the size of one-dimensional eccentrically loaded footing [J]. Journal of Agricultural University of Hebei, 1997, 20(2): 99-102. (in Chinese))
[9]	GB50007—2002 建筑地基基础设计规范[S]. (GB 50007—2002 Code for design of building foundation[S]. (in Chinese))
[10]	叶其孝, 沈永欢. 实用数学手册[M]. 2版. 北京: 科学出版社, 2006. (YE Qi-xiao, SHEN Yong-huan. Handbook of practical mathematics[M]. 2nd ed. Beijing: Science Press, 2006. (in Chinese))
[11]	陈希哲. 土力学地基基础[M]. 3版. 北京: 清华大学出版社, 1998. (CHEN Xi-zhe. Soil mechanics & foundations[M]. 3rd ed. Beijing: Tsinghua University, 1998. (in Chinese))
[12]	赵成刚, 白冰. 土力学原理（修订本）[M]. 北京: 清华大学出版社, 北京交通大学出版社, 2009. (ZHAO Cheng-gang, BAI Bing. Fundamentals of soil mechanics (Modified Edition) [M]. Beijing: Tsinghua University Press, Beijing Jiaotong University Press, 2009. (in Chinese))