The size effect of a conical footing on N_γ

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• 作者：Manash Chakraborty ^{manasrcr@civil.iisc.ernet.in" class="auth_mail" title="E-mail the corresponding author} ; Jyant Kumar ; ^{jkumar@civil.iisc.ernet.in" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Bearing capacity ; Failure ; Finite elements ; Foundations ; Limit analysis ; Sands
• 刊名：Computers and Geotechnics
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：76
• 期：Complete
• 页码：212-221
• 全文大小：2700 K

文摘

By incorporating the diameter (size) effect of a conical footing, the factor N_γ has been computed. The analysis has been performed by using the lower bound theorem of limit analysis in combination with finite elements and linear optimization. By using an iterative procedure, the dependency of peak friction angle (ϕ) on mean stress (σ_m) has been incorporated to obtain N_γ for various cone apex angles (α) with several cone diameters (B) covering almost entire possible ranges of model and field cone footing sizes. Three different ϕ–σ_m curves reported from literature, associated with Hostun and Toyoura sands, were chosen. For the value of B approximately greater than (i) 0.45 m for a smooth footing, and (ii) 0.85 m for a rough footing, the magnitude of N_γ decreases almost linearly with an increase in B on a log–log scale. For the value of B greater than about 8.0 m, the factor N_γ shows only a little change with an increase in the footing diameter. The results from the analysis compare well with the data reported in literature.