Frontiers of Structural and Civil Engineering
>> 2019,
Volume 13,
Issue 1
doi:
10.1007/s11709-018-0474-6
RESEARCH ARTICLE
Multivariable regression model for Fox depth correction factor
1. Department of Civil Engineering, Birla Institute of Technology & Science, Pilani 333031, India
2. Department of Civil and Environmental Engineering, Virginia Tech, Blacksburg, VA 24061, USA |
Accepted: 2018-06-01
Available online: 2019-01-04
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Abstract
This paper presents a simple and efficient equation for calculating the Fox depth correction factor used in computation of settlement reduction due to foundation embedment. Classical solution of Boussinesq theory was used originally to develop the Fox depth correction factor equations which were rather complex in nature. The equations were later simplified in the form of graphs and tables and referred in various international code of practices and standard texts for an unsophisticated and quick analysis. However, these tables and graphs provide the factor only for limited values of the input variables and hence again complicates the process of automation of analysis. Therefore, this paper presents a non-linear regression model for the analysis of effect of embedment developed using “IBM Statistical Package for the Social Sciences” software. Through multiple iterations, the value of coefficient of determination is found to reach 0.987. The equation is straightforward, competent and easy to use for both manual and automated calculation of the Fox depth correction factor for wide range of input values. Using the developed equation, parametric study is also conducted in the later part of the paper to analyse the extent of effect of a particular variable on the Fox depth factor.
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