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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the relationship described by Castigliano's First Theorem?
💡 Hint: Think about how energy changes when forces are applied.
Question 2
Easy
Define strain energy in your own words.
💡 Hint: Consider what happens when a material is stretched or compressed.
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 Castigliano’s First Theorem calculate?
- Deflection
- Strain Energy
- Bending Moment
💡 Hint: Focus on what the theorem is specifically concerned with.
Question 2
True or False: Fictitious forces are used to make calculations simpler in redundant structures.
- True
- False
💡 Hint: Remember how these forces aid in simplifying the analysis.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using Castigliano's First Theorem, calculate deflection for a cantilever beam with a point load at its free end. Assume L = 5 m, E = 200 GPa, I = 5 x 10⁻⁶ m⁴.
💡 Hint: Ensure to convert units appropriately when substituting.
Question 2
Consider a complex truss with multiple members subjected to external loads. Apply Castigliano's Second Theorem and outline the steps to compute deflections without solving directly using basic equilibrium.
💡 Hint: Breaking the problem into smaller parts will make it easier.
Challenge and get performance evaluation