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

2.3 - Hollow Circular Shaft Formula

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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