Numerical study on bearing capacity of ring foundations for storage tanks on a rock mass
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Numerical study on bearing capacity of ring foundations for storage tanks on a rock mass Yao Xiao 1 & Minghua Zhao 1 & Heng Zhao 1 & Rui Zhang 2 Received: 27 April 2018 / Accepted: 13 November 2020 # Saudi Society for Geosciences 2020
Abstract The bearing capacity of ring footings on a rock mass is investigated by employing finite element limit analysis (FELA). The rock mass obeys the modified Hoek-Brown failure criterion and an associated flow rule. Based on the FELA method, the bearing capacity factor Nσ is computed and presented in the form of design tables and charts that account for the variation of the geological strength index (GSI), the intact rock constant (mi), and the ratio of internal radius to external radius of the footing (Ri/R0). Typical failure modes associated with these parameters are compared and discussed. In general, the magnitude of Nσ increases with increasing GSI and mi, while the unit weight has negligible effect on the bearing capacity factor. As the value of Ri/ R0 increases, the bearing capacity factor first increases, then decreases, and reaches the maximum value at Ri/R0 = 0.25, indicating that Ri/R0 = 0.25 may be the optimum ratio of the ring footing. In addition, computations of strip footings on rock masses are conducted for verification. Keywords Bearing capacity . Ring footings . Rock mass . Finite element . Limit analysis
Introduction Ring footings are widely used to support storage tanks, and the prediction of the bearing capacity for ring footings is important for petroleum and natural gas engineering. Experimental and theoretical studies have been concentrated on the correct assessment of bearing capacity for ring footings. For instance, Hataf and Razav (2003) reported the model test results of the bearing capacity for ring foundations on sands. Responsible Editor: Zeynal Abiddin Erguler * Heng Zhao [email protected] Yao Xiao [email protected] Minghua Zhao [email protected] Rui Zhang [email protected] 1
Institute of Geotechnical Engineering, Hunan University, Changsha 410082, People’s Republic of China
2
School of Civil Engineering College, Central South University, Changsha 410075, People’s Republic of China
Karaulov (2005, 2006) studied the bearing capacity of ring foundations based on limit equilibrium theory. Kumar and Ghosh (2005) and Keshavarz and Kumar (2017) calculated the bearing capacity factors Nc, Nq, and Nγ for both smooth and rough ring footings using the stress characteristics method. Zhao and Wang (2008) investigated the bearing capacity factor Nγ for ring footings on sands using the finite difference method (FLAC). Benmebarek et al. (2012) also used FLAC to study the effect of the soil dilation angle on the bearing capacity factor Nγ for both smooth and rough ring footings. Choobbasti et al. (2010) performed a finite element method (FEM) analysis to investigate the bearing capacity and settlement of a ring foundation. In addition, the behaviors of ring footings on reinforced sand also have been investigated (Boushehrian and Hat
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