Practice Internal Work - 9.2.1 | 9. ENERGY METHODS; Part I | Structural Engineering - Vol 1
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Internal Work

9.2.1 - Internal Work

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is strain energy?

💡 Hint: Think about how much energy a material can hold as it bends or stretches.

Question 2 Easy

What does the Modulus of Elasticity (E) represent?

💡 Hint: Consider how stretching affects the material.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the primary formula for calculating strain energy in axial members?

U = ∫(σ²/(2E) dVol)
U = ∫(τ²/(2G) dVol)
U = σ * ε

💡 Hint: Remember, this relates directly to how much force is distributed over an area.

Question 2

True or False: Shear modulus has no influence on strain energy calculations for torsional members.

True
False

💡 Hint: Think about how materials respond to twisting.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A steel beam is subjected to an axial load of 150 kN. If the beam has a cross-sectional area of 0.01 m² and an elastic modulus of 210 GPa, calculate the strain energy stored in the beam if it elongates by 1 mm.

💡 Hint: Use the relationships established for stress and strain to formulate the solution.

Challenge 2 Hard

A circular shaft with a radius of 50 mm is subjected to a torsional moment that generates a shear stress of 60 MPa. Calculate the strain energy per unit volume if the shear modulus is 80 GPa.

💡 Hint: Make sure to reference the relationship for torsional strain energy derivation.

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