10.6.2 - Application: Beam Deflection with One Fixed End
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Practice Questions
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Define beam deflection in your own words.
💡 Hint: Think about what happens to a ruler when you push down in the middle.
What is the Fourier Cosine Transform used for?
💡 Hint: Recall how it deals with specific boundary conditions.
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Interactive Quizzes
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What does the Euler-Bernoulli equation relate?
💡 Hint: Focus on the primary relationship expressed in the equation.
True or False: The Fourier Cosine Transform is suitable for periodic signals.
💡 Hint: Consider the domain type for each transform.
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Challenge Problems
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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.
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.
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