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Three-Dimensional Stress State of an Orthotropic Rectangular Prism under a Transverse Force Applied at its End
Authors:V P Revenko
Institution:(1) Ya. S. Podstrigach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lvov, Ukraine
Abstract:The exact three-dimensional elastic solution is found for an orthotropic composite rectangular prism (plate) bent by a transverse force applied to its end. The three-dimensional distribution of stresses and displacements is obtained. The distribution of tangential stresses in the prism and plate is analyzed numerically. New qualitative features of the distribution are established. The strength of the plate is estimated, and the transverse force and torque are determined. The Kirchhoff-Love relations of plate bending are partially justified__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 4, pp. 30–37, April 2005.
Keywords:three-dimensional theory of elasticity  stress-strain state  orthotropic prism  bending  transverse force  torque  Kirchhoff-Love theory
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