Model
Digital Document
Publisher
Florida Atlantic University
Description
A stiffness matrix of a finite element for a plane rectangular
panel capable of resisting transverse loads and which may exhibit in-plane
Hookean anisotropy is derived for use in structural analysis. A
transverse deflection function is selected which is definable in terms
of twelve parameters. The Principle of Virtual Work provides the
relationship between forces and displacements by which the desired stiffness
matrix is developed. Three displacements at each corner of the
element yield twelve governing parameters. The energy method from the
theory of elasticity is used to derive the expression for total strain
energy in terms of the element's dimensions and the twelve governing
parameters. The matrix is checked by principles of continuity and a
rigid body displacement.
panel capable of resisting transverse loads and which may exhibit in-plane
Hookean anisotropy is derived for use in structural analysis. A
transverse deflection function is selected which is definable in terms
of twelve parameters. The Principle of Virtual Work provides the
relationship between forces and displacements by which the desired stiffness
matrix is developed. Three displacements at each corner of the
element yield twelve governing parameters. The energy method from the
theory of elasticity is used to derive the expression for total strain
energy in terms of the element's dimensions and the twelve governing
parameters. The matrix is checked by principles of continuity and a
rigid body displacement.
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