Practice Hollow Circular Shaft Formula - 2.3 | Torsion and Twist | Mechanics of Deformable Solids
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula for calculating shear stress in a circular shaft?

💡 Hint: Remember the relationship between torque, radius, and polar moment of inertia.

Question 2

Easy

Define polar moment of inertia.

💡 Hint: Think about what it means in terms of geometry.

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 polar moment of inertia (J) measure?

  • Resistance to bending
  • Resistance to twisting
  • Resistance to compression

💡 Hint: Think about the implications of twisting on structure.

Question 2

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

  • True
  • False

💡 Hint: Consider the factors that influence twisting.

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Challenge Problems

Push your limits with challenges.

Question 1

You have a hollow shaft with outer diameter 90 mm, inner diameter 70 mm, and it’s 3 m long. If a torque of 500 N·m is applied, find the angle of twist and shear stress.

💡 Hint: Make sure to consider the dimensions while calculating.

Question 2

Given a hollow shaft designed for rigidity, how would you optimize the outer diameter for a specified shear stress if the inner diameter is fixed? Present calculations.

💡 Hint: Discuss material selection and dimensions effectively.

Challenge and get performance evaluation