6. Solution for u and u

Try these first

1. 1.

   What does u_z represent?

   Hint

   Think of the direction along the length of the cylinder.

2. 2.

   State the relationship between torque and rotation.

   Hint

   Recall the definitions of torque.

3. 3.

   What does u_z represent in a hollow cylinder?

   • Longitudinal displacement
   • Circumferential displacement
   • Neither

   Hint

   Think about the orientation and axis of the cylinder.

4. 4.

   True or false: The torque applied to a hollow cylinder has no effect on its angular displacement.

   • True
   • False

   Hint

   Consider what happens when a force is applied tangentially.

5. 5.

   If a hollow cylinder has an internal pressure of 200 kPa and dimensions of length 1m and radius 0.1m, calculate the axial strain.

   Hint

   Use known relationships of stress and strain, taking given pressure into account.

6. 6.

   A hollow cylinder made from two different materials (A and B) experiences torque. Describe how shearing stress would be distributed across it.

   Hint

   Recall how material properties affect stress responses.