Date of Award
1972
Document Type
Thesis
Publication Status
Version of Record
Submission Date
October 2026
Thesis/Dissertation Advisor [Chair]
Brannock, Robert N.
Abstract
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.
Extent
53 p.
Recommended Citation
DADE, JOHN THOMAS, "PLANE RECTANGULAR ANISOTROPIC FINITE ELEMENT IN BENDING" (1972). Electronic Theses and Dissertations 1970 - 1979. 131.
https://digitalcommons.fau.edu/etd_general_2/131
Identifier
FADT13476
Comments
College of Engineering and Computer Science|Thesis (M.S.)--Florida Atlantic University, 1972.|FAU Electronic Theses and Dissertations Collection|College of Engineering and Computer Science