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Seismic Response of Rocking Shallow Foundation in RC Framed Structure: A Parametric Study

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Abstract

Purpose

This article concentrates on rocking foundation which is one of the most effective design alternatives to safeguard the super structure from excessive damage due to higher lateral forces during severe earthquakes.

Methods

The present study aims to illustrate the beneficial effects of rocking foundations on the overall seismic performance of high-rise Reinforced Concrete (RC) frame structures by comparing with its conventionally designed foundation and fixed base counterparts. Within the OpenSees framework the rocking foundation and conventionally designed foundations are modelled as Beam on Nonlinear Winkler Foundation (BNWF) and super structure elements are modelled using fiber section approach with distributed plastic hinges.

Results

Nonlinear static pushover analyses revealed that allowing rocking at the footing level increases yield and peak displacement by about 9% to 34% without significant reduction in the strength of the structures. Further, plastic displacement capacity is enhanced with increasing rocking effect, indicating the beneficial effect of foundation rocking on the overall seismic performance of the structure. Based on the results obtained from nonlinear dynamic time history analyses, it is ascertained that the moment transferred from column to foundation, owing to seismic action, decreases by 20% to 50% with a reduced peak roof acceleration and increasing settlement at the base of the foundation with increasing foundation rocking. However, the maximum settlement did not exceed permissible limits mentioned in Indian standards. From the fragility assessment, it is noticed that the increasing foundation rocking substantially reduces the collapse probability by a maximum of 10% than the fixed base counterparts for the 8-storey and 10-storey structures resting on dense and very dense sand.

Conclusions

The findings from this study shows that it is desirable to under-proportion the size of footings with reduced earthquake loads by up to 50%, in order to improve the overall seismic behaviour of RC-framed structures during severe earthquake events.

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Data availability

The data that support the findings of this study are available from the author, upon reasonable request.

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Acknowledgements

The authors cordially acknowledge resources provided by the Indian Institute of Technology Ropar and Ministry of Human Resources and Development (MHRD), Govt. of India.

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Kannan, R.M., James, N. & Haldar, P. Seismic Response of Rocking Shallow Foundation in RC Framed Structure: A Parametric Study. J. Vib. Eng. Technol. (2024). https://doi.org/10.1007/s42417-024-01333-z

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