Finite Element Method Applications

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What is the main focus of the Finite Element Method (FEM) discussed in the text?

Solving problems in electromagnetic potential

Solving problems in structural analysis (correct)

Solving problems in fluid mechanics

Solving problems in mass transport

Which of the following is not a main area of computational mechanics?

Computational Solid and Structural Mechanics

Nano and Micromechanics

Continuum Mechanics: Solids and Structures

Theoretical Mechanics (correct)

Which of the following is not a spatial discretization method mentioned for solving CSM linear statics problems using computers?

Finite Volume Method (correct)

Boundary Element Method

Finite Difference Method

Finite Element Method

What was the primary cause of the failure of the Sleipner A offshore platform as mentioned in the text?

All of the above Signup and view all the answers

What is the primary unknown variable in the displacement formulation for the Finite Element Method (FEM) mentioned in the text?

Displacement Signup and view all the answers

Which of the following is not a major area of computational solid and structural mechanics (CSM) listed in the text?

Fluids Signup and view all the answers

What is the primary purpose of the Finite Element Method?

To solve problems involving complex geometries, loads, and material properties for which analytical solutions are not possible Signup and view all the answers

What is the result of the finite element formulation?

A set of simultaneous algebraic equations Signup and view all the answers

What is the process of representing a continuous body with finite elements called?

Discretization Signup and view all the answers

Who coined the term "finite element"?

Dr. Ray Clough Signup and view all the answers

In what year did Richard Courant propose breaking a continuous system into triangular elements?

1943 Signup and view all the answers

What was the initial limitation of the FEA code developed by the MacNeal-Schwendle Corporation?

It had a limit of 68,000 degrees of freedom Signup and view all the answers

What is the primary goal of applying boundary conditions in the Finite Element Method (FEM)?

To remove singularity and prevent rigid body motion Signup and view all the answers

In the set of simultaneous algebraic equations obtained after applying boundary conditions, what does the variable $n$ represent?

The total number of unknown nodal degrees of freedom Signup and view all the answers

Which step of the FEM process involves deriving the element stiffness matrix and equations?

Step 4: Derive the element stiffness matrix and equations Signup and view all the answers

What is the purpose of Step 7 in the FEM process?

To solve for the element strains and stresses Signup and view all the answers

Which statement is correct about the FEM's ability to solve complex problems?

The FEM's versatility lies in its ability to solve complex geometries, materials, and boundary conditions Signup and view all the answers

Which step of the FEM process involves selecting the appropriate element types for discretization?

Step 1: Discretise and select the element types Signup and view all the answers

What is the purpose of Step 8 in the FEM process?

To interpret and analyze the results Signup and view all the answers

Which method can be used to solve the set of simultaneous algebraic equations obtained after applying boundary conditions?

Both Gauss's elimination method and Gauss-Seidel iterative method Signup and view all the answers

Which step of the FEM process involves defining the relationships between strain and displacements, and between stress and strain?

Step 3: Define the strain/displacement and stress/strain relationships Signup and view all the answers

What is the purpose of post-processor computer programs in the FEM process?

To help the user interpret the results by displaying them in graphical form Signup and view all the answers