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

Test your understanding with targeted questions related to the topic.

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.

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 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.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation