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Practice Questions
Test your understanding with targeted questions related to the topic.
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.
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 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.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation