| Author | Intarachai Hovichitr |
| Call Number | AIT Thesis no. 680 |
| Subject(s) | Plates (Engineering)
|
| Note | A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering of the Asian Institute of Technology, Bangkok, Thailand. |
| Publisher | Asian Institute of Technology |
| Abstract | In this study, the solution of a large thick plate on a Winkler1s
foundation subjected to a vertical concentrated force which may be applied on the surface or in the interior of the plate is formulated. It is treated as an axisymmetric elasticity problem. Using Hankel
transforms, the biharmonic governing equation is changed to an ordinary differential equation, the complete solution of which is obtained by
applying the appropriate boundary conditions. The relevant displacement and stress components are then in the forms of infinite integrals
by means of the inverse transforms. Approximations of two functions are proposed to reduce the infinite integrals to the standard forms of
integration. The proposed solution though approximate is in a closed form and gives accurate results especially in the vicinity of the applied force,
since the most dominant component in that vicinity, which is the singular part of Mindlin\\\'s solution, is exactly identified. The solution for plane problems of a vertical line force is obtained by an appropriate integration of the proposed solution. Numerical results for the case of concrete plates on grades are presented from which complete solution of displacements and stresses may be computed manually. |
| Year | 1974 |
| Type | Thesis |
| School | Student Research Before 1980 |
| Department | Other Field of Studies (No Department) |
| Academic Program/FoS | Thesis (Year <=1979) |
| Chairperson(s) | Karasudhi, Pisidhi; |
| Examination Committee(s) | Lee, Seng-Lip; |
| Scholarship Donor(s) | South East Asia Treaty Organization; |
| Degree | Thesis (M. Eng.) - Asian Institute of Technology, 1974 |
