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ENS 5147 : -Advanced Structural Analysis and Design - Engineering Assignment
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Internal Code : MAS426
Questions :
1. 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 areon Blackboard for your reference. Consider h?refinement using three?nodedquadraticelements, 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. Treating the bar illustrated above as being a two dimensional plane stress domain, analyse using the Galerkin finite element method. The distributed axial force is spread uniformly across the width of the bar and on the bar edge. Due to symmetry, the analysis is performed for the top half of the bar. The other half is the mirror image
about the indicated axis of symmetry. Use 4?noded quadrilateral elements,produce the manual solution for when the domain which describes the top half of the bar, includes of 2 equal spacing quadrilateral elements. Generate the outcomes to produce:
a. Nodal displacements.
b. Nodal stresses.
3. Extend the two?noded linearMatlab program provided to produce the corresponding solution for three?noded quadratic elements. You need to amend all sub function m-files, but up to calculation of nodal displacement vector only for the main m-file. You do not need to work on stress recovery, convergencerate and error estimation in the main m-file.
Engineering Assignment
Questions :
Questions :
1. 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 areon Blackboard for your reference. Consider h?refinement using three?nodedquadraticelements, 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. Treating the bar illustrated above as being a two dimensional plane stress domain, analyse using the Galerkin finite element method. The distributed axial force is spread uniformly across the width of the bar and on the bar edge. Due to symmetry, the analysis is performed for the top half of the bar. The other half is the mirror image
about the indicated axis of symmetry. Use 4?noded quadrilateral elements,produce the manual solution for when the domain which describes the top half of the bar, includes of 2 equal spacing quadrilateral elements. Generate the outcomes to produce:
a. Nodal displacements.
b. Nodal stresses.
3. Extend the two?noded linearMatlab program provided to produce the corresponding solution for three?noded quadratic elements. You need to amend all sub function m-files, but up to calculation of nodal displacement vector only for the main m-file. You do not need to work on stress recovery, convergencerate and error estimation in the main m-file.