Practice Thick-Walled Cylinders - 3 | Pressure Vessels | Mechanics of Deformable Solids
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Thick-Walled Cylinders

3 - Thick-Walled Cylinders

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a thick-walled cylinder.

💡 Hint: Think about the relationship between wall thickness and radius.

Question 2 Easy

What is radial stress?

💡 Hint: Consider the direction in which this stress acts.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines a thick-walled cylinder?

t < r/10
t = r/10
t ≥ r/10

💡 Hint: Think about how thickness relates to the radius.

Question 2

Is Lame's equation applicable to thin-walled cylinders?

True
False

💡 Hint: Consider the characteristics of thin-walled conditions.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a thick-walled cylinder with an inner radius of 10 cm and a wall thickness of 2 cm subjected to an internal pressure of 3000 kPa and an external pressure of 1000 kPa, calculate the radial and hoop stresses at the inner and outer radii using Lame's equations.

💡 Hint: Set up two equations for internal and external conditions to solve for constants A and B.

Challenge 2 Hard

Why might a thick-walled cylinder fail if only thin-walled assumptions are applied? Discuss the consequences of this miscalculation.

💡 Hint: Consider how stress affects material strength and structural integrity.

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