Transcription of Introduction to the Theory of Plates - Stanford University
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Introduction to the Theory of Plates - Stanford University
Introduction to the Theory of Plates Charles R. Steele and Chad D. Balch Division of Mechanics and ComputationDepartment of Mecanical EngineeringStanford University Stretching and Bending of Plates - FundamentalsIntroductionA plate is a structural element which is thin and flat. By thin, it is meant that the plate s transversedimension, or thickness, is small compared to the length and width dimensions. A mathematicalexpression of this idea is: where t represents the plate s thickness, and L represents a representative length or width dimension.(See Fig. See plate and associated (x, y, z) coordinate ) More exactly, L represents theminimum wave length of deformation, which can be much smaller than the plate minimum lateraldimension for problems of localized loading, dynamics and stability.
Plates might be classified as very thin if Łt > 100, moderately thin if 20 < Łt < 100, thick if 3 < Łt < 20, and very thick if Łt < 3. The “classical” theory of plates is applicable to very thin and moderately thin plates, while “higher order theories” for thick plates are useful.
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