Ultimate Foundation Moment Capacity of Any Plan Shape under P-M-M Loading
Publication: Structures Congress 2022
ABSTRACT
The ultimate moment capacity of individual footings subject to axial and uniaxial moments for footings of rectangular geometry has been well established and forms the governing equation for determining foundation moment capacity in ASCE 41 and prior FEMA publications related to seismic retrofit and rehabilitation of existing buildings. However, there is no comprehensive study for determining ultimate moment capacity for isolated footings of other plan shapes and bi-directional seismic overturning moments. This paper provides a simple, easy to follow general method for establishing the ultimate moment capacity for shallow foundations where soil resistance is represented by a rectangular pressure distribution under the footing. The concepts and results from this study have been extended to show equivalence between the derived closed form solution for foundation moment capacity and the maximum soil pressure for foundations modeled as beams on nonyielding compression only springs from a finite element analysis program.
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REFERENCES
ASCE/SEI (ASCE/Structural Engineering Institute). (2017). Seismic Evaluation and Retrofit of Existing Buildings, Standard ASCE/SEI 41-17. Chapter 8, ASCE/SEI, Reston, Virginia.
FEMA. (1997). NEHRP Guidelines for the Seismic Rehabilitation of Buildings - FEMA 273, Chapter 4, Federal Emergency Management Agency, Washington, D.C.
FEMA. (2000). Prestandard and Commentary for the Seismic Rehabilitation of Buildings – FEMA 356, Chapter 4, Federal Emergency Management Agency, Washington, D.C.
Bellos, J., and Bakas, N. (2017). “Complete Analytical Solution for Linear Soil Pressure Distribution under Rectangular Spread Footings,” International Journal of Geomechanics, July 2017, Volume 17, Issue 7, (2017) American Society of Civil Engineers.
Lobo, R. F., Tokas, C. V., and Hale, T. (2021). “General Methodology for determining Foundation Moment Capacity of Rigid Footings of any Plan under P-M-M Loading”, Proceedings, Structural Engineering Association of California, SEAOC 2021 Convention, Carlsbad, California.
Moffitt, C. J. (2019). “Footing Soil Pressure from Biaxial Loading,” Civil Engineering Journal, Vol. 5, No. 11, November 2019.
USYD (University of Sydney). (2014). Aircraft Structures - Bending of Beams with Non-Symmetric Cross Sections, University of Sydney, Australia.
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Structures Congress 2022
Pages: 398 - 412
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Published online: Apr 18, 2022
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