1 - Castigliano’s First Theorem
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Practice Questions
Test your understanding with targeted questions
Define Castigliano's First Theorem.
💡 Hint: Think about how displacement connects to energy.
What types of energies are associated with deformation in beams?
💡 Hint: Recall the acronym ABTS.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does Castigliano's First Theorem relate?
💡 Hint: Think about the connection between energy and motion.
True or False: The reciprocal relation states that displacement at one point determines the force at another.
💡 Hint: Focus on the concept of interconnected responses.
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Challenge Problems
Push your limits with advanced challenges
A cantilever beam with a length L is subjected to a point load W at its free end. Derive the expression for the deflection at the free end using Castigliano's theorem.
💡 Hint: Start with the basic equations of bending and consider the contribution along the beam.
Consider a composite beam with varying cross-sections. Use Castigliano’s theorem to find the displacement at a specific segment by first calculating energies in different sections.
💡 Hint: Breakdown helps understand how each section contributes to overall behavior.
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