Development of provisions for simplified design of rocking foundations
DOI:
https://doi.org/10.5459/bnzsee.1659Abstract
A simplified design procedure has been developed for potential inclusion within NZS1170.5 to allow rocking shallow foundations for low- to mid-rise buildings without special study. Rocking foundations allow a nonlinear uplift and soil yielding mechanism to form at the soil-foundation interface, and can significantly reduce the required size of foundations (or avoid requiring deep foundations) and reduce seismic demands on a building. The procedure has been used to design a series of buildings and the performance of these buildings has been evaluated using a displacement-based assessment procedure that accounts for soil-foundation-structure interaction. Given that the equivalent static procedure in NZS1170.5 contains several conservative assumptions for multiple storey buildings, and the displacement-based approach is a first mode approximation, the majority of designs and assessments were based on a single degree-of-freedom (SDOF) system. Variations in the design and soil property assumptions were considered, as well as different thresholds for proposed limitations on the applicability of the simplified procedure. Seven performance measures were used to evaluate and demonstrate that the limitations in the proposal result in adequate behaviour for ultimate limit state and serviceability limit state actions.
A displacement correction, to conventional NZS1170.5 displacement procedures, is proposed as a concentrated rotation at the underside of the foundation. This correction accounts for foundation rotation prior to reaching the moment capacity.
References
Gajan S and Kutter BL (2008). “Capacity, settlement, and energy dissipation of shallow footings subjected to rocking”. Journal of Geotechnical and Geoenvironmental Engineering, 1129–1141. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:8(1129) DOI: https://doi.org/10.1061/(ASCE)1090-0241(2008)134:8(1129)
Shirato M, Kouno T, Asai R, Nakatani S, Fukui J and Paolucci R (2008). “Large-scale experiments on nonlinear behavior of shallow foundations subjected to strong earth- quakes”. Soils and Foundations, 48(5): 673–692. DOI: https://doi.org/10.3208/sandf.48.673
Deng L, Kutter BL and Kunnath SK (2012). “Centrifuge modeling of bridge systems designed for rocking foundations”. Journal of Geotechnical and Geoenvironmental Engineering, 138(3): 335–344. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000605 DOI: https://doi.org/10.1061/(ASCE)GT.1943-5606.0000605
Hakhamaneshi M and Kutter BL (2016). “Effect of footing shape and embedment on the settlement, recentering, and energy dissipation of shallow footings subjected to rocking”. Journal of Geotechnical and Geoenvironmental Engineering, 142(12): 04016070–13. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001564 DOI: https://doi.org/10.1061/(ASCE)GT.1943-5606.0001564
Tsatsis A and Anastasopoulos I (2015). “Performance of rocking systems on shallow improved sand: Shaking table testing”. Frontiers in Built Environment, 1: 1–19. https://doi.org/10.3389/fbuil.2015.00009 DOI: https://doi.org/10.3389/fbuil.2015.00009
Antonellis G, Gavras AG, Panagiotou M, Kutter BL, Guerrini G, Sander AC and Fox PJ (2015). “Shake table test of large-scale bridge columns supported on rocking shallow foundations”. Journal of Geotechnical and Geoenvironmental Engineering, 141(5): 04015009–12. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001284 DOI: https://doi.org/10.1061/(ASCE)GT.1943-5606.0001284
Ni P, Petrini L and Paolucci R (2014). “Direct displacement based assessment with nonlinear soil-structure interaction for multi-span reinforced concrete bridges”. Structure and Infrastructure Engineering, 10(9): 9–9. https://doi.org/10.1080/15732479.2013.802813 DOI: https://doi.org/10.1080/15732479.2013.802813
Figini R and Paolucci R (2016). “Integrated foundation- structure seismic assessment through non-linear dynamic analyses”. Earthquake Engineering and Structural Dynamics, 46(3): 349–367. https://doi.org/10.1002/eqe.2790 DOI: https://doi.org/10.1002/eqe.2790
Gazetas G, Anastasopoulos I and Garini E (2014). “Geotechnical design with apparent seismic safety factors well-below 1”. Soil Dynamics and Earthquake Engineering, 57(C): 37–45. https://doi.org/10.1016/j.soildyn.2013.10.002 DOI: https://doi.org/10.1016/j.soildyn.2013.10.002
Millen MDL, Pampanin S and Cubrinovski M (2020). “An integrated performance-based design framework for building- foundation systems”. Earthquake Engineering and Structural Dynamics, 50(3): 718–735. https://doi.org/10.1002/eqe.3354 DOI: https://doi.org/10.1002/eqe.3354
SNZ (2016). “NZS 1170.5:2004: Structural Design Actions-Part5: Earthquake Actions- New Zealand Incorporating Amendment 1”. Standards New Zealand, Wellington, NZ
SNZ (1992). “NZS 4203:1992: Code of Practice for General Structural Design and Design Loadings for Buildings”. Standards New Zealand, Wellington, NZ.
Canadian Commission on Building and Fire Codes (2018). “National Building Code of Canada”. 1: 1–1412.
ASCE (2017). “ASCE41-17: Seismic Evaluation and Retrofit of Existing Buildings”. American Society for Civil Engineers, USA.
Paolucci R, Figini R and Petrini L (2013). “Introducing dynamic nonlinear soil-foundation-structure interaction effects in displacement-based seismic design”. Earthquake Spectra, 29(2): 475–496. https://doi.org/10.1193/1.4000135 DOI: https://doi.org/10.1193/1.4000135
Deng L, Kutter BL and Kunnath SK (2014). “Seismic design of rocking shallow foundations: Displacement- based methodology”. Journal of Bridge Engineering, 19(11): 04014043–11. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000616 DOI: https://doi.org/10.1061/(ASCE)BE.1943-5592.0000616
Gazetas G (1991). “Foundation Vibrations”. HY Fang (Ed.) Foundation Engineering Handbook, Chapman and Hall, New York, USA, pp. 553–593. DOI: https://doi.org/10.1007/978-1-4757-5271-7_15
Hakhamaneshi M, Kutter BL, Moore M and Champion C (2016). “Validation of ASCE 41-13 modeling parameters and acceptance criteria for rocking shallow foundations”. Earthquake Spectra, 32: 1121–1140. https://doi.org/10.1193/121914eqs216m DOI: https://doi.org/10.1193/121914eqs216m
Salgado R (2008). The Engineering of Foundations. McGraw Hill New York, ISBN 0072500581.
Zhu M, McKenna F and Scott MH (2018). “OpenSeesPy: Python library for the OpenSees finite element framework”. SoftwareX, 7: 6–11. https://doi.org/10.1016/j.softx.2017.10.009 DOI: https://doi.org/10.1016/j.softx.2017.10.009
Pais A and Kausel E (1988). “Approximate formulas for dynamic stiffnesses of rigid foundations”. Soil Dynamics and Earthquake Engineering, 7: 213–227. https://doi.org/10.1016/S0267-7261(88)80005-8 DOI: https://doi.org/10.1016/S0267-7261(88)80005-8
Gazetas G, Anastasopoulos I, Adamidis O and Kontoroupi T (2013). “Nonlinear rocking stiffness of foundations”. Soil Dynamics and Earthquake Engineering, 47(C): 83–91. https://doi.org/10.1016/j.soildyn.2012.12.011 DOI: https://doi.org/10.1016/j.soildyn.2012.12.011
Sullivan TJ (2020). Guidelines for Simplified Lateral Mechanism Analysis (SLaMA) of Existing Buildings.
Millen MDL, Pampanin S and Cubrinovski M (2018). “Displacement-based design of soil-foundation-structure systems”. Proceedings of the Institution of Civil Engineers - Geotechnical Engineering: 1–39. https://doi.org/10.1680/jgeen.17.00196 DOI: https://doi.org/10.1680/jgeen.17.00196
DBH (2011). “Compliance Document for New Zealand Building Code Clause B1 Structure”: Department of Building and Housing, Wellington, NZ, 88pp.
SNZ (2011). “NZS3604:2011 Timber-Framed Buildings”. Standards New Zealand, Wellington, NZ.