Finite Element Method Applications

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Questions and Answers

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?

<p>All of the above (D)</p> 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?

<p>Displacement (C)</p> 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?

<p>Fluids (A)</p> Signup and view all the answers

What is the primary purpose of the Finite Element Method?

<p>To solve problems involving complex geometries, loads, and material properties for which analytical solutions are not possible (B)</p> Signup and view all the answers

What is the result of the finite element formulation?

<p>A set of simultaneous algebraic equations (C)</p> Signup and view all the answers

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

<p>Discretization (A)</p> Signup and view all the answers

Who coined the term "finite element"?

<p>Dr. Ray Clough (D)</p> Signup and view all the answers

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

<p>1943 (A)</p> Signup and view all the answers

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

<p>It had a limit of 68,000 degrees of freedom (C)</p> Signup and view all the answers

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

<p>To remove singularity and prevent rigid body motion (D)</p> Signup and view all the answers

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

<p>The total number of unknown nodal degrees of freedom (A)</p> Signup and view all the answers

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

<p>Step 4: Derive the element stiffness matrix and equations (B)</p> Signup and view all the answers

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

<p>To solve for the element strains and stresses (D)</p> Signup and view all the answers

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

<p>The FEM's versatility lies in its ability to solve complex geometries, materials, and boundary conditions (D)</p> Signup and view all the answers

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

<p>Step 1: Discretise and select the element types (B)</p> Signup and view all the answers

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

<p>To interpret and analyze the results (B)</p> Signup and view all the answers

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

<p>Both Gauss's elimination method and Gauss-Seidel iterative method (C)</p> 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?

<p>Step 3: Define the strain/displacement and stress/strain relationships (A)</p> Signup and view all the answers

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

<p>To help the user interpret the results by displaying them in graphical form (C)</p> Signup and view all the answers

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