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On the Carrying Capacity of Plates of Arbitrary Shape and Variable Fixity Under a Concentrated Load
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1958
Year
EngineeringMechanical EngineeringStructural OptimizationComputational MechanicsStructural EngineeringHigh-rate LoadingVariable FixityMechanicsStressstrain AnalysisShell StructurePlastic MaterialCarrying CapacityMechanical ModelingSolid MechanicsLoad-bearing CapacityConcentrated LoadThin-walled StructureCircular PlateStructural MechanicsMechanics Of Materials
Abstract The previously known limit-load solution for a circular plate, with a centrally concentrated load, is extended to include a plate of general shape and fixity with arbitrary load location. Considering an ideally plastic material that obeys the Tresca yield criterion, this limit load is equal to 2π times the unit yield moment (M0). The techniques of this paper can be used to establish upper and lower bounds to the limit load for plates under other loading conditions.