Practice Example 2 - 5 | 30. Castigliano’s First Theorem | Solid Mechanics
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Example 2

5 - Example 2

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What theorem helps us calculate displacements in structures?

💡 Hint: Think about energy methods.

Question 2 Easy

Define a transverse load.

💡 Hint: Think of how the force orientation relates to the beam.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Castigliano's theorem allow you to find?

Displacements
Forces
Both

💡 Hint: Consider what information you gain from analyzing energy in a structure.

Question 2

True or False: A roller support can exert moments on a structure.

True
False

💡 Hint: Think about how different support types interact with loads.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A cantilever beam of length 4 m with a load of 1000 N applied at 2 m from the fixed end. Determine the reactions and the deflection at the free end using energy methods.

💡 Hint: Break down the structure into sections and analyze each using equilibrium.

Challenge 2 Hard

Consider a beam subjected to varying loads along its length. How would you modify the approach of Castigliano’s theorem?

💡 Hint: Think about how distributed loads change the energy calculation.

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