Practice Bending energy - 2.2 | 30. Castigliano’s First Theorem | Solid Mechanics
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Bending energy

2.2 - Bending energy

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define bending energy in your own words.

💡 Hint: Think about how beams store energy under loads.

Question 2 Easy

What formula relates stress to bending moment?

💡 Hint: Focus on the relationships between forces and geometry.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the primary factor affecting bending energy in a beam?

A. Axial force
B. Bending moment
C. Shear force

💡 Hint: Think about what causes beams to store energy in bending.

Question 2

True or False: The curvature of a beam increases with higher bending moments.

True
False

💡 Hint: Consider how loads affect the geometry of beams.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A simply supported beam with a point load at its center stores how much energy when it bends? Calculate using appropriate bending moment and curvature relations.

💡 Hint: Use the load to determine the maximum moment and apply it to the energy equation.

Challenge 2 Hard

Given a beam with varying cross-section, derive the general expression for bending energy considering the moment of inertia's variation.

💡 Hint: Reflect on how integration over varying cross-sections influences overall energy.

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