Practice Torsional Energy - 2.3 | 30. Castigliano’s First Theorem | Solid Mechanics
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Torsional Energy

2.3 - Torsional Energy

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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