Practice Castigliano’s Theorems - 3 | Energy Theorem | Mechanics of Deformable Solids
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Knowledge

3 - Castigliano’s Theorems

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Learning

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