1.2. Cylindrical Element

Try these first

1. 1.

   What are the three coordinates used in a cylindrical coordinate system?

   Hint

   Remember the basics of identifying coordinates in different systems.

2. 2.

   Name the basis vectors in the cylindrical coordinate system.

   Hint

   Think about the directions these vectors represent.

3. 3.

   What coordinates define a point in cylindrical coordinates?

   • (r
   • θ
   • z)
   • (x
   • y
   • z)
   • (r
   • φ
   • z)

   Hint

   Think about common coordinate systems you know.

4. 4.

   The basis vectors in the cylindrical coordinate system change with θ.

   • True
   • False

   Hint

   Consider the orientation of vectors in different coordinates.

5. 5.

   If a cylindrical tank has a height of 10m and radius of 2m, calculate the pressure at a depth of 5m using cylindrical coordinates.

   Hint

   Consider how pressure increases with depth in a liquid.

6. 6.

   Derive the stress on a cylindrical element subjected to uniform internal pressure and an external load using your knowledge of LMB.

   Hint

   Map out your stress components based on face orientations.