Finite element method for beam bending problem
Previously in Yavari A. et. al. (2000), the beam bending problem having various jump discontinuities was solved using an exact technique known as the auxiliary beam method. Our work continue the effort by formulating solution for the displacements and slopes of nodes under three different situations...
| Main Author: | |
|---|---|
| Format: | Thesis |
| Published: |
2012
|
| Subjects: |
| _version_ | 1796856803871424512 |
|---|---|
| author | Abdullah Sani, Sarah A'Fifah |
| author_facet | Abdullah Sani, Sarah A'Fifah |
| author_sort | Abdullah Sani, Sarah A'Fifah |
| collection | ePrints |
| description | Previously in Yavari A. et. al. (2000), the beam bending problem having various jump discontinuities was solved using an exact technique known as the auxiliary beam method. Our work continue the effort by formulating solution for the displacements and slopes of nodes under three different situations of the beam, namely, clamped, simply-supported beam, clamped-clamped beam, and simply-supported beam. A manual solution has been proposed to solve this problem. We deploy the finite element method. In the first step, the main component is solved to obtain the stiffness matrix. Next, the load vector and the boundary vector are computed to complete the solution. The solutions are computed and verified using MAPLE. |
| first_indexed | 2024-03-05T18:48:34Z |
| format | Thesis |
| id | utm.eprints-30810 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T18:48:34Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | utm.eprints-308102020-09-30T04:55:10Z http://eprints.utm.my/30810/ Finite element method for beam bending problem Abdullah Sani, Sarah A'Fifah Q Science (General) Previously in Yavari A. et. al. (2000), the beam bending problem having various jump discontinuities was solved using an exact technique known as the auxiliary beam method. Our work continue the effort by formulating solution for the displacements and slopes of nodes under three different situations of the beam, namely, clamped, simply-supported beam, clamped-clamped beam, and simply-supported beam. A manual solution has been proposed to solve this problem. We deploy the finite element method. In the first step, the main component is solved to obtain the stiffness matrix. Next, the load vector and the boundary vector are computed to complete the solution. The solutions are computed and verified using MAPLE. 2012 Thesis NonPeerReviewed Abdullah Sani, Sarah A'Fifah (2012) Finite element method for beam bending problem. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. |
| spellingShingle | Q Science (General) Abdullah Sani, Sarah A'Fifah Finite element method for beam bending problem |
| title | Finite element method for beam bending problem |
| title_full | Finite element method for beam bending problem |
| title_fullStr | Finite element method for beam bending problem |
| title_full_unstemmed | Finite element method for beam bending problem |
| title_short | Finite element method for beam bending problem |
| title_sort | finite element method for beam bending problem |
| topic | Q Science (General) |
| work_keys_str_mv | AT abdullahsanisarahafifah finiteelementmethodforbeambendingproblem |