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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Main Author: Abdullah Sani, Sarah A'Fifah
Format: Thesis
Published: 2012
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Online Access:http://eprints.utm.my/id/eprint/30810/
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Institution: Universiti Teknologi Malaysia
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spelling my.utm.308102020-09-30T04:55:10Z http://eprints.utm.my/id/eprint/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.
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic Q Science (General)
spellingShingle 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
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
publishDate 2012
url http://eprints.utm.my/id/eprint/30810/
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