2. Physical significance of strain components

Try these first

1. 1.

   Define radial longitudinal strain (ϵ_rr).

   Hint

   Think about how the radial lines in a cylinder change during inflation.

2. 2.

   What does hoop strain (ϵ_θθ) measure?

   Hint

   Consider the circular direction around the cylinder.

3. 3.

   What does ϵ_rr represent in a cylindrical object?

   • A) Shear strain
   • B) Radial longitudinal strain
   • C) Circumferential strain

   Hint

   Focus on the radial aspect of deformation.

4. 4.

   True or False: Hoop strain (ϵ_θθ) can exist even when no radial displacement occurs.

   • True
   • False

   Hint

   Think about pressure systems.

5. 5.

   A cylindrical concrete column is subjected to an axial force along its length and a lateral pressure from the environment. Calculate the radial and hoop strains, assuming the column radius increases with deformation.

   Hint

   Remember Poisson’s ratio can link radial and hoop strains.

6. 6.

   Design a thin-walled pressure vessel and present the critical factors affecting the strain in both radial and circumferential directions as internal pressure increases.

   Hint

   Look into classical thin-walled approximations for your approach.