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Synopsis
Excerpt from Plate Equations and Formulas for Stresses, Strains and Displacements
In this report we derive estimates for the displacements, strains, stresses, and their derivatives in the interior of a thin plate. The estimates are given in terms of the maximum strains and the thickness and diameter of the plate. The estimates are used to derive formulas for the displacements, strains, and stresses in terms of the Vertical displacement.
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Plate Equations and Formulas for Stresses, Strains and Displacements
Print on DemandSeller: Forgotten Books, London, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. Print on Demand. This book presents a method for estimating the displacement, strain, stress, and their derivatives in the interior of a thin plate that is sufficiently thin, has sufficiently small strains, and whose particles are sufficiently far from the edge of the plate. This method relies on the existence of a strain energy function that is analytic in the strain invariants, as well as on the existence of sufficiently many continuous derivatives of the displacement functions. The author starts by deriving estimates for the stresses and their derivatives in plates whose thickness-diameter ratio and strains are sufficiently small. Using an expression for the displacements in terms of the vertical displacement of the middle surface and a stress function, the author obtains formulas for the displacements, strains, and stresses in terms of the vertical displacement and the stress function. The differential equations and formulas obtained are used to derive simplified plate equations, which can be valid even when the strains are relatively large. The author concludes by presenting a method for simplifying the results that is valid when the strains are small with relatively large bending permitted, which makes it possible to apply the results to very small strains with relatively large bending. The method and results presented will be useful to engineers and other researchers who work in the field of plate theory. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332954216_0
Quantity: Over 20 available
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Plate Equations and Formulas for Stresses, Strains and Displacements Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332954216
Quantity: 15 available
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Plate Equations and Formulas for Stresses, Strains and Displacements Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332954216
Quantity: 15 available