Practice Application: Beam Deflection with One Fixed End - 10.6.2 | 10. Fourier Cosine and Sine Transforms | Mathematics (Civil Engineering -1)
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10.6.2 - Application: Beam Deflection with One Fixed End

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define beam deflection in your own words.

💡 Hint: Think about what happens to a ruler when you push down in the middle.

Question 2

Easy

What is the Fourier Cosine Transform used for?

💡 Hint: Recall how it deals with specific boundary conditions.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

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

Question 1

What does the Euler-Bernoulli equation relate?

  • Deflection to material density
  • Load to beam deflection
  • Speed to load application

💡 Hint: Focus on the primary relationship expressed in the equation.

Question 2

True or False: The Fourier Cosine Transform is suitable for periodic signals.

  • True
  • False

💡 Hint: Consider the domain type for each transform.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A cantilever beam of length L is subjected to a triangular load. Determine the deflection at the free end using Fourier Cosine Transform.

💡 Hint: Analyze how the load shape affects the function form.

Question 2

Given a uniform load q(x) = q_0 on a cantilever beam, derive the expression for maximum deflection at the free end.

💡 Hint: Ensure the load function is consistent with beam theory assumptions.

Challenge and get performance evaluation