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...
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my-utm-ep.308102020-09-30T04:55:10Z Finite element method for beam bending problem 2012 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 http://eprints.utm.my/id/eprint/30810/ masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science |
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Universiti Teknologi Malaysia |
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UTM Institutional Repository |
| topic |
Q Science (General) |
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Q Science (General) Abdullah Sani, Sarah A'Fifah Finite element method for beam bending problem |
| 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. |
| format |
Thesis |
| qualification_level |
Master's degree |
| author |
Abdullah Sani, Sarah A'Fifah |
| author_facet |
Abdullah Sani, Sarah A'Fifah |
| author_sort |
Abdullah Sani, Sarah A'Fifah |
| title |
Finite element method for beam bending problem |
| title_short |
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_sort |
finite element method for beam bending problem |
| granting_institution |
Universiti Teknologi Malaysia, Faculty of Science |
| granting_department |
Faculty of Science |
| publishDate |
2012 |
| _version_ |
1747815753870999552 |