Chapter
May 6, 2021

Model Predictions of Dynamic Response of an Embedded Footing

ABSTRACT

A shallow foundation, 3 × 3 m in plan and embedded 0.9 m, was dynamically loaded at the National Geotechnical Experiment Site (NGES) on the campus of Texas A&M University (TAMU), and the measured results were compared with results computed via four widely publicized methodologies: the cone models of Wolf and Deeks, the PILAY models of Novak and Aboul-Ella, and the homogeneous half-space models for embedded footings of Apsel and Luco and Gazetas. The cone models produced the best predictions of the measured field response, and all four methodologies produced good predictions of the vertical and horizontal motions of the foundation. The rocking motions were well predicted using cone and half-space models, while the PILAY predictions of rocking were quite different from the measurements. The Gazetas model results suggested that full embedment and full contact of the foundation and soil produced the best representation of the field behavior. It was possible to find one representative half-space modulus for the models to match the field measurements for all modes of vibration, but it was not obvious how one would determine this modulus value a priori in a design situation and without the benefit of field response measurements.

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REFERENCES

Apsel, R. J., and Luco, J. E. (1987), “Impedance Functions for Foundations Embedded in a Layered Medium: An Integral Equation Approach,” Earthquake Engineering and Structural Dynamics, Vol. 15, pp. 213-231.
Briaud, J., and Gibbons, R. M. (1994), “Data and Predictions Request for the Spread Footing Prediction Event,” Predicted and Measured Behavior of Five Spread Footings On Sand: Proceedings of a Prediction Symposium, Geotechnical Special Publication No. 41, June, pp. 11-85.
Dunn, P. W., and Hiltunen, D. R. (2018), “Measured and Predicted Dynamic Vertical Response of an Embedded Footing at TAMU NGES Site,” IFCEE 2018, Geotechnical Special Publication No. 295, A. Lemnitzer, A. W. Stuedlein, M. T. Suleiman, Eds., American Society of Civil Engineers, pp. 453-462.
Dunn, P. W., and Hiltunen, D. R. (2019), “Measured and Predicted Dynamic Horizontal Sliding and Rocking Response of an Embedded Footing at TAMU NGES Site,” GeoCongress 2019: Earthquake Engineering and Soil Dynamics, Geotechnical Special Publication No. 308, C. L. Meehan, S. Kumar, M. A. Pando, J. T. Coe, Eds., American Society of Civil Engineers, pp. 129-138.
Gazetas, G. (1991), “Foundation Vibrations,” Chapter 15 in Foundation Engineering Handbook, 2nd ed., Edited by H.-Y. Fang, Van Nostrand Reinhold, New York, pp. 553-593.
Hiltunen, D. R., Dunn, P. W., and Toros, U. (2007), “Cone Model Predictions of Dynamic Impedance Functions of Shallow Foundations,” Proceedings of the 4th International Conference on Earthquake Geotechnical Engineering, Thessaloniki, Greece, June 25-28.
Mylonakis, G., Nickolaou, S., and Gazetas, G. (2006), “Footings Under Seismic Loading: Analysis and Design Issues with Emphasis on Bridge Foundations,” Soil Dynamics and Earthquake Engineering, Vol. 26, pp. 824-853.
Novak, M., and Aboul-Ella, F. (1977), PILAY: A Computer Program for Calculation of Stiffness and Damping of Piles in Layered Media, The Systems Analysis, Control, and Design Activity, University of Western Ontario, London, Canada, December, 27 pp.
Novak, M., and Aboul-Ella, F. (1978), “Impedance Functions of Piles in Layered Media,” Journal of the Engineering Mechanics Division, ASCE, Vol. 104, No. EM6, June, pp. 643-661.
Prakash, S., and Puri, V. K. (1988), Foundations for Machines: Analysis and Design, John Wiley & Sons, Inc., New York, 656 pp.
Tran, K. T., and Hiltunen, D. R. (2008), A Comparison of Shear Wave Velocity Profiles from SASW, MASW, and ReMi Techniques, Geotechnical Earthquake Engineering and Soil Dynamics IV, Geotechnical Special Publication No. 181, D. Zeng, M. T. Manzari, and D. R. Hiltunen, Eds., American Society of Civil Engineers.
Tran, K. T., and Hiltunen, D. R. (2011), “An Assessment of Surface Wave Techniques at the Texas A&M National Geotechnical Experimentation Site,” Risk Assessment and Management in Geoengineering, Geotechnical Special Publication No.224, C. H. Juang, K. K. Phoon, A. J. Puppala, R. A. Green, and G. A. Fenton, Eds., American Society of Civil Engineers, pp. 859-866.
Wolf, J. P., and Deeks, A. J. (2004), Foundation Vibration Analysis: A Strength-of-Materials Approach, Elsevier, 218 pp.

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IFCEE 2021
Pages: 234 - 243

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Published online: May 6, 2021

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Dennis R. Hiltunen, M.ASCE [email protected]
1Professor, Dept. of Civil and Coastal Engineering, Univ. of Florida, Gainesville, FL. Email: [email protected]

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