Practice First Theorem (For linearly elastic structures) - 3.1 | Energy Theorem | Mechanics of Deformable Solids
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3.1 - First Theorem (For linearly elastic structures)

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is deflection?

💡 Hint: Think about how a beam bends under weight.

Question 2

Easy

What does the First Theorem express?

💡 Hint: Recall the formula from our session.

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 the First Theorem allow us to calculate?

  • Force
  • Deflection
  • Stress

💡 Hint: Consider what quantities are related to load in structural analysis.

Question 2

True or False: The total strain energy is used to find the maximum deflection in a structure.

  • True
  • False

💡 Hint: Remember how energy relates to deformation.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A cantilever beam of length 4 m is subjected to a point load of 500 N at its free end. Calculate the deflection using the First Theorem.

💡 Hint: Remember the relationship between bending moment and strain energy.

Question 2

Discuss the implications of ignoring the First Theorem when designing a multi-story building.

💡 Hint: Consider both immediate effects and long-term stability.

Challenge and get performance evaluation