Practice Thick-walled Cylinders (3) - Pressure Vessels - Mechanics of Deformable Solids

Practice: Thick-Walled Cylinders

Lesson 3Pressure Vessels

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6 sample questions

Question 1.
Define a thick-walled cylinder.
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Think about the relationship between wall thickness and radius.
Question 2.
What is radial stress?
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Consider the direction in which this stress acts.
3Question 3.
What defines a thick-walled cylinder?
- t < r/10
- t = r/10
- t ≥ r/10
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Think about how thickness relates to the radius.
4Question 4.
Is Lame's equation applicable to thin-walled cylinders?
- True
- False
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Consider the characteristics of thin-walled conditions.
Question 5.
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.
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Set up two equations for internal and external conditions to solve for constants A and B.
Question 6.
Why might a thick-walled cylinder fail if only thin-walled assumptions are applied? Discuss the consequences of this miscalculation.
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Consider how stress affects material strength and structural integrity.

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