3. Thick-Walled Cylinders

Try these first

1. 1.

   Define a thick-walled cylinder.

   Hint

   Think about the relationship between wall thickness and radius.

2. 2.

   What is radial stress?

   Hint

   Consider the direction in which this stress acts.

3. 3.

   What defines a thick-walled cylinder?

   • t < r/10
   • t = r/10
   • t ≥ r/10

   Hint

   Think about how thickness relates to the radius.

4. 4.

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

   • True
   • False

   Hint

   Consider the characteristics of thin-walled conditions.

5. 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.

   Hint

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

6. 6.

   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.