Practice Angle of Twist and Torsional Deformation - 3 | Torsion and Twist | Mechanics of Deformable Solids
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Angle of Twist and Torsional Deformation

3 - Angle of Twist and Torsional Deformation

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the angle of twist represent?

💡 Hint: Think about what happens to a shaft when you apply a force to it.

Question 2 Easy

What is the formula for angle of twist?

💡 Hint: Remember the acronym TL-G-J!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the angle of twist formula?

θ = TL/GJ
θ = T/GJ
θ = TL^2/G

💡 Hint: Look for the equation that includes torque and length in the numerator.

Question 2

True or False: The angle of twist increases with the length of the shaft.

True
False

💡 Hint: Consider what happens as more material is added.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A steel shaft with a diameter of 0.05 m and length of 2 m has a shear modulus of 80 GPa. If a torque of 150 Nm is applied, calculate the angle of twist and discuss how changing the diameter affects the outcome.

💡 Hint: Remember to deal with unit conversions if necessary.

Challenge 2 Hard

Design a system with a hollow shaft that connects two gears. If the outer diameter is 0.1 m and the inner diameter is 0.06 m with a length of 1.5 m, how would you determine the required torque if the desired angle of twist is limited to 0.02 radians?

💡 Hint: Start by finding J for the hollow shaft.

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