19. Surface Forces and Stress Tensors

Try these first

1. 1.

   What is a stress tensor?

   Hint

   Think of it as a way to capture various stress directions.

2. 2.

   Define normal stress.

   Hint

   Consider how pressure works on surfaces.

3. 3.

   What does the stress tensor indicate?

   • Pressure only
   • Forces per unit area in multiple directions
   • Only shear forces

   Hint

   Think of how forces interact within materials.

4. 4.

   True or False: Shear stress acts perpendicular to the surface.

   • True
   • False

   Hint

   Remember the definitions of shear and normal stress.

5. 5.

   Given a fluid with known shear and normal stresses, calculate the resultant stress acting on a surface and describe the effects.

   Hint

   Visualize the forces acting at intersections.

6. 6.

   An engineering scenario involves calculating the pressures exerted on a control volume. How would you set up your integrals and why?

   Hint

   Remember to consider atmospheric pressure's cancellation.