Journal of Applied Mechanics · 1983 · 29 citations · 0 references
EngineeringCivil EngineeringFoundation EngineeringGeotechnical EngineeringStructural AnalysisBoundary ConditionsElasticity TheoryPlate AnalysisPlate TheoryStructural LoadsStructural MechanicsBoundary ProblemBoundary Value Problems For PlatesConcentrated Load ResponseEquilibriumFoundationFree-boundary ProblemsPlates On Elastic FoundationsThin Plate Theory
In this paper the equilibrium configuration of a thin rectangular plate, supported on an elastic foundation that reacts in compression only, is studied. It is assumed that the foundation is described by the Winkler model in the contact region. The plate is supposed to be weightless and subjected to a concentrated load in its midpoint. The shape of the free boundary, where the plate loses contact with the foundation, is determined.