3.2. Hoop Stress

Try these first

1. 1.

   What is the formula for hoop stress in a thin-walled cylinder?

   Hint

   Think about the variables—pressure, radius, thickness.

2. 2.

   What type of cylinder is characterized by t << r?

   Hint

   Consider the relationship between thickness and radius.

3. 3.

   What is hoop stress primarily influenced by?

   • Material properties
   • Wall thickness
   • Internal pressure

   Hint

   Consider how pressure affects a cylinder.

4. 4.

   True or False: Lame's equations only apply to thin-walled cylinders.

   • True
   • False

   Hint

   Think about the cylinder type Lame's equations serve.

5. 5.

   Consider a thick-walled cylinder with an internal radius of 0.3 m and external radius of 0.4 m. If the internal pressure is 80 MPa, calculate the radial and hoop stress at the inner radius.

   Hint

   Don't forget to use both equations for a complete understanding!

6. 6.

   A boiler operates at a temperature that increases the thermal stress by 15 MPa and internal pressure adds 90 MPa of mechanical stress. What is the total stress on a critical component?

   Hint

   Add the stresses carefully to get the total.