Practice Torsional Energy - 2.3 | 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

What is torsion?

💡 Hint: Think about the force causing the twisting.

Question 2

Easy

Define torque in the context of torsion.

💡 Hint: It's also the twisting force applied.

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 term 'torsion' refer to?

  • Twisting about an axis
  • Bending in two directions
  • Compression of material

💡 Hint: Consider the direction of applied forces.

Question 2

True or False: Shear stress is not relevant in understanding torsional energy.

  • True
  • False

💡 Hint: Think about the forces acting within the material.

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Challenge Problems

Push your limits with challenges.

Question 1

A rectangular beam with dimensions 0.05 m x 0.1 m is subjected to a torque of 150 Nm. Calculate the polar moment of inertia and the torsional energy stored if the length of the beam is 1.5 m and shear modulus is 60 GPa.

💡 Hint: Make sure to compute J correctly to proceed with energy calculations.

Question 2

Design a cylindrical shaft to carry a specific torque of 300 Nm without exceeding a shear stress limit of 50 MPa. What is the minimum diameter required?

💡 Hint: This involves rearranging the formula to isolate the diameter. Be sure to also remember how to convert units properly.

Challenge and get performance evaluation