Practice Eigenvectors in Stability of Structures - 30.15 | 30. Eigenvectors | Mathematics (Civil Engineering -1)
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Practice Questions

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Question 1

Easy

Define buckling in structural engineering.

💡 Hint: Think about what happens when you push down too hard on a slender object.

Question 2

Easy

What does an eigenvalue represent in the context of stability?

💡 Hint: It is linked to the factor that causes failure.

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Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does buckling refer to in structural engineering?

  • True
  • False

💡 Hint: Consider how compression impacts stability.

Question 2

Eigenvalues are indicative of critical loads for structural stability. True or False?

  • True
  • False

💡 Hint: Think about the load conditions that lead to failure.

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Challenge Problems

Push your limits with challenges.

Question 1

A column has a critical buckling load of 25 kN and a flexural rigidity (EI) of 3000 Nm². If the geometric stiffness index (G) is 1000 kN/m, determine the eigenvalue for this system.

💡 Hint: Don't forget how we calculate eigenvalues from load factors.

Question 2

Given a beam-column subjected to an axial load with EI = 2000 Nm², derive the governing equation for its buckling and discuss the potential eigenvalues.

💡 Hint: In deriving, consider how differential equations relate to mechanical properties and forces on the structure.

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