Abstract

AbstractStatic analysis of four-nodded thin rectangular plate element based on Kirchhoff theory resting on Pasternak foundation. All the deformation stiffness matrix of plate and subsoil are evaluated using finite element method. A MATLAB code is developed for present formulation then convergence study is carried out, then validation done and then the static analysis of thin plates resting on Pasternak type foundations. The results, thus obtained, are compared, with the available results obtained by other researchers. Parametric study is done and the maximum deflection, bending moment are presented in tabular and graphical forms. It is concluded that the effect of the soil coefficient on the static analysis of the plates on elastic foundation is generally larger than that of the aspect ratio. It behaves extremely well for thin plate, results are very close to exact solution and convergence rate is high.KeywordsPasternak foundationFinite elementShear parameterSub-grade reaction

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