Introduction to Finite Element Analysis: FEA Tool for Engineers, Exams of Mechanical Engineering

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1 MCx xxx Final Exam 20 xx- 20 xx Thursday 0 xnd^ Xxxx 20 xx 8 : 25 - 10 : 25 hours Guidelines: Use of mobile phone or tablet is not allowed. Use of calculator is allowed Authorized document: Introduction to Finite Element Analysis: FEA Tool for Engineers

I. Test questions:

1. Define Finite Element Method (FEM):
2. List out three advantages of Finite Element Analysis (FEA):
3. What are the basic steps for building an FEA model?
4. Why do we do FEA?
5. How accurate is FEA?
6. What is meant by discretization or meshing?
7. What are the factors governing the selection of element types?
8. What is meant by stiffness matrix?
9. What are the different types of element used in FEA? Give examples
10. The Finite Element Method is an approximate Method (True or False)? Justify your answer
11. What is a truss element?
12. How do you calculate the size of the global stiffness matrix?

II. Engineering case study

Consider the mechanical structure shown in Figure 1.

2 MCx xxx Final Exam 20 xx- 20 xx

1. Describe the main steps necessary to solve the truss structure.
2. Solve the case study using Abaqus CAE or RDM6 tools with the given material data sets (steel and aluminum).
3. Do you agree with the truss initial thought of mechanical behaviour provided in Figure 1 (d)? Blue bars are subjected to tensional load and red bars to compression.
4. How much would be the minimum size of the material section to withstand 4000 N (a) Building a truss structure in the SWW (invasion of Poland in 1939) (b) Similar truss structure later than SWW (c) Truss structure (d) Free body diagram Figure 1 : Engineering Case study Material data Steel Aluminium E=210 GPa E=70 GPa Nu=0.3 Nu=0. 7800 kg/m^3 2700 kg/m^3 S= 3 5 mm² S= 40 mm² “Therefore keep watch because you do not know when the master of the house is coming”