The following figure illustrates a reinforced concrete corbel attached to a column and subjected to a vertical load F. Assuming the bottom and the top of the column are fixed, perform a Finite Element Analysis (Abaqus preferred) to determine the stress distribution and the maximum displacement at the corbel.
Assume homogeneous material properties for the structure. The Young’s modulus of the material is E=(20+0.15Z) GPa, and the poisson’s ratio of it is v=(0.2+0.001Z), where Z is the sum of student ID numbers. Eg: Student with student number 20991 will need to sum up these numbers 2 + 0 + 9 + 9 + 1 = 21. So they will take an E value of 20 + 0.15 × 21 = 23.15 and a v value=0.2+0.001× 21=0.221.
Hint: This can be considered as a plane stress problem. You can assume a thickness of the column/corbel if necessary. You may want to consider the concentrated load as a distributed load due to the existence of the loading pad, that said, you don’t need to include the loading pad itself in your model.
Your tasks include: a) Assume and indicate clearly appropriate dimensions, material properties of the structure and appropriate location and value of the load F (10 marks) b) Mesh size convergence study on the maximum displacement of the corbel. Summarize the convergence study results by a table or figure (30 marks) c) Determine the maximum stress in the corbel structure and its location (Hint: report the max.In-plane Principal stress in a plane stress problem simulated using Abaqus) (10 marks) d) Adequate discussion of the results and simulation details.
You are expected to report details (screenshots with brief text descriptions) of the following steps for at least one round of the finite element analysis:
1. Create a model of the structure
2. Assign material and section properties
3. Create assembly and step
4. Create mesh
5. Assign boundary conditions and loads
6. Create and submit job
7. Visualize results (stress and displacement)
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