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Limit analysis solution for ultimate bearing capacity of footing resting on the rock mass with a circular void subjected to line loading

By: Chauhan, Vinay Bhushan.
Contributor(s): Piyush Kumar.
Publisher: USA Springer 2023Edition: Vol.53(2), Apr.Description: 334-347p.Subject(s): Civil EngineeringOnline resources: Click here In: Indian geotechnical journalSummary: In this study, a finite element limit analysis-based numerical simulation is carried out using an adaptive mesh refinement technique to investigate the influence of a circular void/cavity having a diameter, dv, on the ultimate bearing capability (UBC) of a strip footing with a width, B resting over rock mass and subjected to a centrally placed line loading. The rock mass is assumed to follow the Generalized Hoek–Brown (GHB) failure criterion. The influence of rock mass parameters and void’s location concerning footing’s position on the ultimate bearing capacity is examined using a dimensionless reduction factor, Rf, and the potential failure mechanisms are investigated and discussed in detail. The effect of the void’s location concerning footing, such as the normalized vertical (W/B) and horizontal (H/B), distances of the footing to the void on the UBC is analysed. Comprehensive design table for the Rf considering various positions of the void and rock mass parameters are provided. The sensitivity analysis of these variables is also explored using parametric studies. The findings recommend that the presence of a void that exceeds a specified threshold of W/B ≥ 3.5 and H/B ≥ 4 is negligible on Rf and indicates that the development of distinct potential failure envelopes around the footing is highly governed by the void’s position from the footing, i.e. W/B and H/B.
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In this study, a finite element limit analysis-based numerical simulation is carried out using an adaptive mesh refinement technique to investigate the influence of a circular void/cavity having a diameter, dv, on the ultimate bearing capability (UBC) of a strip footing with a width, B resting over rock mass and subjected to a centrally placed line loading. The rock mass is assumed to follow the Generalized Hoek–Brown (GHB) failure criterion. The influence of rock mass parameters and void’s location concerning footing’s position on the ultimate bearing capacity is examined using a dimensionless reduction factor, Rf, and the potential failure mechanisms are investigated and discussed in detail. The effect of the void’s location concerning footing, such as the normalized vertical (W/B) and horizontal (H/B), distances of the footing to the void on the UBC is analysed. Comprehensive design table for the Rf considering various positions of the void and rock mass parameters are provided. The sensitivity analysis of these variables is also explored using parametric studies. The findings recommend that the presence of a void that exceeds a specified threshold of W/B ≥ 3.5 and H/B ≥ 4 is negligible on Rf and indicates that the development of distinct potential failure envelopes around the footing is highly governed by the void’s position from the footing, i.e. W/B and H/B.

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