| Author | Pricha Ngaocharoenchitr |
| Call Number | AIT Thesis no. 297 |
| Subject(s) | Elastic plates and shells
|
| Note | A thesis submitted in partial fulfillment of the requirement for the degree
of Master of Engineering of the Asian Institute of Technology, Bangkok,
Thailand. |
| Publisher | Asian Institute of Technology |
| Abstract | In this study, a method for the derivation of a triangular plate
bending element stiffness matrix based on the principle of minimum potential energy is described. The triangular element is divided into three
sub-elements with a quadratic displacement function assumed for each sub-element. This sub-divided element was originally suggested by Shieh, Lee
and Parmelee (Ref. 12). A general computer program is written in Fortran IV following the standard displacement method in matrix structural analysis and using the element stiffness matrix derived.
Sample problems of plates in bending are investigated. Emphasis is placed on solving a series of clamped square plates of different mesh sizes, subjected to uniform loading. An idea of the accuracy of the solution for each mesh size, and the convergence characteristics of the solutions, is obtained by comparison with an existing analytical series solution.
An annular plate supported on a ring of eight equally spaced columns and subjected to a uniformly distributed load is solved to show the applicability of the method. Results are also compared with those of another approach in which stress distributions are assumed in deriving an element stiffness matrix. |
| Year | 1970 |
| Type | Thesis |
| School | Student Research Before 1980 |
| Department | Other Field of Studies (No Department) |
| Academic Program/FoS | Thesis (Year <=1979) |
| Chairperson(s) | McGuire, William |
| Examination Committee(s) | Tongchat Hongladaromp ;Karasudhi, Pisidhi |
| Scholarship Donor(s) | Asian Institute of Technology |
| Degree | Thesis (M. Eng.) - Asian Institute of Technology, 1970 |