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ENS5147: Advanced Structural Analysis & Design- Finite Element Method Assignment
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Internal Code: TV246
1. [40 %] Treating the bar illustrated above as being a one dimensional axial bar where plane sections remain plane and parallel, analyse the bar using the Galerkin finite element method. The coding solution for linear h-refinement and its manual solution for a limited number of linear elements are on Blackboard for your reference.
Consider h?refinement using three?noded quadratic elements, produce the manual solution for when the domain includes of 2 equal spacing quadratic elements.
Generate the outcomes to produce:
a. Nodal displacements
b. Displacement at the left quarter of each element.
c. Normal stress at the left quarter of each element.
2. [10 %] The bar illustrated above is solved as a two dimensional plane stress problem.
This task allows you to start with FEM programming at very beginning level. You will be given full coding solution and asked to extract a number of results given by running the problem FEM program. Modify the code to yield 2 equal spacing 4?noded quadrilateral elements along x-axis.
Generate the outcomes to produce:
a. Each element coding loop: indexArray, K, f.
b. Global K, f, u.
c. Nodal stresses.
3. [50 %] Extend the two?noded linear Matlab program provided to produce the corresponding solution for three?noded quadratic elements. You need to amend all sub function m-files, and the main m-file. Debug your code to confirm if it works properly before put all files in a zip folder for USB submission.
Finite Element Method Assignment:
Task: Part 1 - Civil Engineering Numerical Analysis
1. [40 %] Treating the bar illustrated above as being a one dimensional axial bar where plane sections remain plane and parallel, analyse the bar using the Galerkin finite element method. The coding solution for linear h-refinement and its manual solution for a limited number of linear elements are on Blackboard for your reference.
Consider h?refinement using three?noded quadratic elements, produce the manual solution for when the domain includes of 2 equal spacing quadratic elements.
Generate the outcomes to produce:
a. Nodal displacements
b. Displacement at the left quarter of each element.
c. Normal stress at the left quarter of each element.
2. [10 %] The bar illustrated above is solved as a two dimensional plane stress problem.
This task allows you to start with FEM programming at very beginning level. You will be given full coding solution and asked to extract a number of results given by running the problem FEM program. Modify the code to yield 2 equal spacing 4?noded quadrilateral elements along x-axis.
Generate the outcomes to produce:
a. Each element coding loop: indexArray, K, f.
b. Global K, f, u.
c. Nodal stresses.
3. [50 %] Extend the two?noded linear Matlab program provided to produce the corresponding solution for three?noded quadratic elements. You need to amend all sub function m-files, and the main m-file. Debug your code to confirm if it works properly before put all files in a zip folder for USB submission.