Document Type
Thesis
Date of Award
5-31-1986
Degree Name
Master of Science in Mechanical Engineering - (M.S.)
Department
Mechanical Engineering
First Advisor
Rong-Yaw Chen
Second Advisor
Edward Miller
Third Advisor
Jui Sheng Hsieh
Abstract
The finite element formulation of plate elasticity is presented and is employed in the development of the formulation of element stiffness equations. The programming structures are also summarized.
The finite element program PLATE cited from Prof. J. N. Reddy's " An Introduction to the Finite Element Method " has been used to solve the plate bending problems with quadrilateral elements. The problems solved are:
(1) deflections and stresses in a circular plate with all edges simply supported under uniform load.
(2) deflections and stresses in a circular plate with all edges clamped under uniform load.
each case including four different elements.
Finally, the results obtained from the finite element solutions are compared with those obtained from exact solutions for the circular plate. Then, the effect of the number of elements on convergence to the analytical solution is investigated. The maximum deflection which occurs at the center of the clamped circular plate is about one fourth of the deflection of the simply supported circular plate (for V= 0.3). The extreme value of stress which occurs on the clamped circular plate is only 60% of that in the simply supported circular plate (for y= 0.3). These have clearly shown that as the number of elements are increased the results converge to the exact solution.
Recommended Citation
Chuang, Wen-Jung, "Plate stress analysis by the finite element method" (1986). Theses. 3396.
https://digitalcommons.njit.edu/theses/3396
