Analysis of Strip Plates on Elastic Foundation Using Generalized Subgrade Model
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Date
2018-06
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AAU
Abstract
A concrete plate supported directly by the soil continuum is a very common construction form.
The response of the plate when it carries external load is influenced by the soil, and the response
of the soil is also influenced by the action of the plate under the load. Thus, developing a
subgrade model for soil-structure interaction problem is essential in order to predict the
response of both components of the system and arrive at an optimum design.
Many subgrade models have been developed in order to improve on the inherent lack of shear
interaction among the individual springs found on the long-enduring model of Winkler.
Moreover, these models still have shortcomings with the nature of simplifying assumptions
they make to ease the mathematical equation. Recently a generalized model is presented for a
subgrade idealized as an elastic layer overlying a rigid base. In contrast to previous works no
stresses, strains or displacements are neglected a priori.
The main objective of this work is implementing, verifying and calibrating this improved
continuum-based generalized subgrade model in the analysis of strip plates on an elastic
foundation. The governing differential equation of a strip plate on elastic foundation is
formulated. Then, closed form particular solutions, when using Winkler type and Kerr
equivalent Pasternak models, are obtained by considering different boundary conditions of long
and short length of a strip plate, under different loading conditions. Microsoft excel programs
are written for the computation of deflection, moment and shear force. The subgrade models
are then calibrated using Finite Element based Plaxis 2D software. Lastly, numerical
illustration is provided using these models in comparison with Plaxis 2D model for long and
short strip plates subjected to selected symmetrical loading conditions. The result of the
comparison shows that the calibrated variants give good outcome in agreement with FE
outputs. Consequently, these findings display that the calibrated models can be used in routine
analysis of strip plate on elastic foundation and also can be incorporated in commercial
software.
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Keywords
Strip Plates, Subgrade Model, Elastic Foundation