Practice Axial extensional energy - 2.1 | 30. Castigliano’s First Theorem | Solid Mechanics
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Axial extensional energy

2.1 - Axial extensional energy

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What happens to a beam when an axial load is applied?

💡 Hint: Think about physical behavior under stress.

Question 2 Easy

Define axial load in your own words.

💡 Hint: Consider how the load is oriented.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula to calculate axial extensional energy?

U = 1/2 * ∫ P * ε dx
U = 1/2 * P * L
U = σ * ε

💡 Hint: Remember it's about integration and how energy accumulates.

Question 2

True or False: Hooke's Law applies to all types of material deformation.

True
False

💡 Hint: Think about when materials get permanently deformed.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A steel beam of length 4 m with a cross-sectional area of 0.01 m² is subjected to a uniform axial load of 2000 N. Calculate the stress, elongation of the beam, and the energy stored.

💡 Hint: Use Young's Modulus for steel, which is about 200 GPa.

Challenge 2 Hard

Discuss the impact of increasing the length of a beam on the axial extensional energy given a constant load.

💡 Hint: Consider how the load affects stretching across more material.

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