Finite Element Analysis Assignment Complete Solution and Project Delivery Instructions
You are required to complete the attached Finite Element Analysis (MECH0016.1) Assignment professionally and correctly to achieve the highest possible grade.
Student Information
* Student Name: Said Mohamed Said Al Kindi
* Student ID: 24F26078
According to Table Task 3 in the assignment document, use the following values for Task 3:
* A = 0.19 m
* B = 0.19 m
* C = 0.24 m
General Requirements
The assignment must be completed entirely and professionally, including all theoretical calculations, finite element formulations, ANSYS APDL modelling, results interpretation, comparisons, discussions, figures, tables, references, and conclusions.
All calculations must be derived correctly and shown clearly step-by-step.
The report must be written in clear academic English and follow the assignment requirements.
Use:
* Times New Roman
* Font Size 12
* Proper headings and numbering
* APA 7th Edition referencing style
Task 1 Static Stress Analysis (System Stiffness Matrices)
Part A Spring System Formulation
Complete all finite element derivations manually.
Required:
1. Define all nodes and degrees of freedom.
2. Derive the stiffness matrix for each spring element.
3. Construct all element stiffness matrices.
4. Assemble the complete global stiffness matrix.
5. Apply boundary conditions.
6. Formulate the equilibrium equation:
[K]{D}={R}
7. Show every matrix assembly step clearly.
8. Present all equations in proper engineering notation.
Part B Spring System Solution and ANSYS APDL Modelling
Using:
* K1 = 1000 N/mm
* K2 = K4 = K8 = 500 N/mm
* K3 = K7 = 400 N/mm
* K5 = K6 = 300 N/mm
* F5 = 140 N
Required:
Theoretical Solution
1. Solve the complete finite element system manually.
2. Calculate all nodal displacements.
3. Calculate all reaction forces.
4. Show every calculation step.
5. Present final results in tabulated format.
ANSYS APDL Simulation
Use COMBIN14 spring elements.
Provide complete step-by-step screenshots showing:
1. Program startup.
2. Element type definition.
3. Real constants definition.
4. Node creation.
5. Element creation.
6. Boundary conditions.
7. Load application.
8. Solution setup.
9. Solving procedure.
10. Post-processing.
11. Nodal displacement results.
12. Reaction force results.
Discussion
Provide:
* Comparison between theoretical and ANSYS results.
* Percentage error calculations.
* Discussion of accuracy.
* Engineering interpretation of results.
Part C Stepped Bar Analysis
Using:
* E = 100 GPa
* P = 10,000 N
* A = 210 m
* L = 0.45 m
Required:
Theoretical Analysis
1. Develop element stiffness matrices.
2. Assemble global stiffness matrix.
3. Apply constraints.
4. Solve for nodal displacements.
5. Determine reaction forces.
6. Show all calculations clearly.
ANSYS APDL Modelling
Use an appropriate axial bar element.
Provide screenshots for:
1. Geometry creation.
2. Material properties.
3. Element selection.
4. Meshing.
5. Boundary conditions.
6. Load application.
7. Solution.
8. Results extraction.
Comparison
Compare theoretical and numerical results in a dedicated section.
Task 2 Truss Stress Analysis
Using:
* L1 = 2 m
* L2 = 2 m
* L3 = 22 m
* A = 80 mm
* E = 200 GPa
* P = 50 N
Required:
Finite Element Formulation
1. Determine local stiffness matrices.
2. Construct transformation matrices.
3. Determine global element matrices.
4. Assemble global stiffness matrix.
5. Apply support constraints.
6. Generate reduced stiffness matrix.
7. Solve for unknown nodal displacements.
8. Calculate member forces.
9. Calculate stresses.
10. Determine support reactions.
Show every mathematical step in detail.
ANSYS APDL Model
Use LINK180 or equivalent truss element.
Include screenshots for:
1. Geometry creation.
2. Material definition.
3. Cross-sectional area definition.
4. Meshing.
5. Boundary conditions.
6. Load application.
7. Solution.
8. Displacement plots.
9. Stress plots.
10. Reaction force tables.
Validation
Prepare comparison tables between:
* Manual FE calculations.
* ANSYS results.
Include percentage differences and discussion.
Task 3 Transient Heat Transfer Analysis
Student Parameters:
* A = 0.19 m
* B = 0.19 m
* C = 0.24 m
Material Properties:
* k = 400 W/mC
* Cp = 385 J/gC
* = 7800 kg/m
Boundary Conditions:
* h = 35 W/mC
* Ambient temperature = 25C
* Initial temperature = 30C
Required:
Model Development
Create complete transient thermal model in ANSYS APDL.
Part A
Explain the thermal element used, including:
* Element name.
* Degrees of freedom.
* Capabilities.
* Suitability for transient analysis.
Part B
Select five representative nodes across the plate.
Obtain:
* Temperature versus time results.
* Temperature history plots.
* Tables of temperature values.
Include screenshots and graphs.
Part C
Modify one convection boundary and replace it with:
* Fixed temperature = 150C
Repeat transient analysis.
Provide:
1. Temperature contour plots.
2. Temperature history graphs.
3. Comparison tables.
4. Engineering discussion explaining differences.
5. Heat flow interpretation.
6. Thermal behaviour analysis.
Report Structure
The final report must contain:
1. Cover Page
2. Declaration
3. Table of Contents
4. List of Figures
5. List of Tables
6. Introduction
7. Theory Background
8. Task 1
9. Task 2
10. Task 3
11. Results and Discussion
12. Conclusion
13. References (APA 7)
14. Appendices
Required Files to Deliver
Submit all project files, including:
Report Files
* Microsoft Word (.docx)
* PDF version
ANSYS Files
* .db
* .dat
* .inp
* .log
* .out
* .rst
* Any APDL macro files used
Figures
* All screenshots used in the report
* Graphs and plots in high quality PNG format
Additional Material
* All calculation sheets
* Any Excel files used for calculations
* Comparison tables
* Temperature history data
Important
All equations, finite element derivations, stiffness matrices, displacement calculations, reaction force calculations, stress calculations, thermal calculations, ANSYS models, screenshots, graphs, discussions, and conclusions must be completed accurately and verified before submission.
The final submission should be ready for direct upload to Moodle without requiring any further modification.
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