2. Thin-Walled Cylinders

Try these first

1. 1.

   Define thin-walled assumption.

   Hint

   Think about how thickness relates to radius.

2. 2.

   What is the formula for hoop stress?

   Hint

   Remember the values represented by p, r, and t.

3. 3.

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

   • σ_h = pt/r
   • σ_h = p/rt
   • σ_h = pr/t

   Hint

   Look for relationships that involve pressure and radius.

4. 4.

   True or False: Axial stress is always greater than hoop stress in a thin-walled cylinder.

   • True
   • False

   Hint

   Consider the relationships given in the formulas.

5. 5.

   A thin-walled cylindrical tank has an internal radius of 5 m and a wall thickness of 0.1 m. If the internal pressure is 300 kPa, calculate the hoop and axial stresses.

   Hint

   Ensure you maintain units consistent while substituting.

6. 6.

   A chemistry lab holds a thin-walled tube under a vacuum of 50 kPa. If the tube’s internal radius is 0.2 m and thickness is 2 mm, calculate the stresses considering it’s subjected to both internal and external pressures.

   Hint

   Analyze each pressure separately before combining.