Analytical moment–rotation curves for rigid foundations based on a Winkler model |
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| Authors: | Nii Allotey M Hesham El Naggar |
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| Institution: | Department of Civil and Environmental Engineering, Faculty of Engineering, Geotechnical Research Centre, The University of Western Ontario, London, Ont., Canada N6A 5B9 |
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| Abstract: | Analytical equations for the moment–rotation response of a rigid foundation on a Winkler soil model are presented. An equation is derived for the uplift-yield condition and is combined with equations for uplift- and yield-only conditions to enable the definition of the entire static moment–rotation response. The results obtained from the developed model show that the inverse of the factor of safety, χ, has a significant effect on the moment–rotation curve. The value of χ=0.5 not only determines whether uplift or yield occurs first but also defines the condition of the maximum moment–rotation response of the footing. A Winkler model is developed based on the derived equations and is used to analyze the TRISEE experiments. The computed moment–rotation response agrees well with the experimental results when the subgrade modulus is estimated using the unload–reload stiffness from static plate load–deformation tests. A comparison with the recommended NEHRP guidelines based on the FEMA 273/274 documents shows that the choice of value of the effective shear modulus significantly affected the comparison. |
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| Keywords: | Subgrade modulus Foundation uplift Soil yield Moment– rotation Unload– reload stiffness Winkler model Bearing capacity Backbone curve Seismic |
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