3.1. Radial Stress

Try these first

1. 1.

   Define radial stress.

   Hint

   Think about how stresses behave in cylinders.

2. 2.

   What is Lame’s equation used for?

   Hint

   Focus on its application in pressure vessels.

3. 3.

   What is radial stress?

   Hint

   Consider its role in thick-walled cylinders.

4. 4.

   True or False: Hoop stress is independent of radial stress in thick-walled cylinders.

   • True
   • False

   Hint

   Think about how different stresses relate in a cylinder.

5. 5.

   You have a thick-walled cylinder with an inner radius of 5 cm and a wall thickness of 2 cm. Given an internal pressure of 200 MPa, determine the radial stress at the inner radius.

   Hint

   Use the relationship from Lame’s equations to derive answers at given pressures.

6. 6.

   Examine a design of a pressure vessel subjected to extreme conditions. Analyze how variations in radial stress might affect its ability to withstand operational failures.

   Hint

   Consider how engineers ensure structural integrity to prevent bursting.