Practice Application in Finite Element Method (FEM) - 21.17 | 21. Linear Algebra | Mathematics (Civil Engineering -1)
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Application in Finite Element Method (FEM)

21.17 - Application in Finite Element Method (FEM)

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the stiffness matrix (K) represent in FEM?

💡 Hint: Think about how it relates to how structures resist forces.

Question 2 Easy

What does the displacement vector (u) indicate?

💡 Hint: Relate it to the movement of parts of the structure under load.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the symbol [K] represent in the FEM matrix equation?

Force matrix
Stiffness matrix
Displacement matrix

💡 Hint: Think about the properties of the material.

Question 2

True or False: The displacement vector [u] is derived from applying the stiffness matrix [K] to the force vector [F].

True
False

💡 Hint: Remember the equation structure.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a simple two-dimensional structure described by the stiffness matrix K = [[4, -2], [-2, 4]], calculate the eigenvalues.

💡 Hint: Use the formula for the characteristic equation.

Challenge 2 Hard

Using a given force vector F = [10, 20] and the stiffness matrix K = [[3, -1], [-1, 2]], find the displacement vector u.

💡 Hint: Consider how to isolate u.

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