1. Recap

Try these first

1. 1.

   What is static equilibrium?

   Hint

   Think about the principles of motion.

2. 2.

   Name the two primary stress components in a hollow cylinder.

   Hint

   Consider the directions these stresses act.

3. 3.

   What defines static equilibrium in mechanics?

   • Only forces
   • Only moments
   • Combination of forces and moments

   Hint

   Consider forces and their points of application.

4. 4.

   True or False: Boundary conditions have no effect on the solutions to stress equations.

   • True
   • False

   Hint

   Think about how we calculate stress at surfaces.

5. 5.

   Given a hollow cylinder with an internal radius of 2 cm and an external radius of 4 cm subjected to a pressure of 200kPa, derive the expressions for radial and hoop stresses.

   Hint

   What are the applicable equations for equilibrium of forces?

6. 6.

   Analyze how the stress distribution changes if the cylinder's material is altered to a less ductile one while maintaining the same geometry and internal pressure.

   Hint

   Think about how material behavior changes the way stress is distributed.