2. Stress Tensor

Try these first

1. 1.

   Define the term 'stress tensor'.

   Hint

   Think about how it relates to the distribution of forces.

2. 2.

   What does the traction vector represent?

   Hint

   Consider how forces act in different directions.

3. 3.

   What does the stress tensor represent?

   • A list of forces
   • Internal stress distribution
   • External forces on a structure

   Hint

   Think about how stress is distributed within materials.

4. 4.

   True or False: The traction vector is dependent on the choice of the plane.

   • True
   • False

   Hint

   Recall how we derived the traction vector independently.

5. 5.

   A cuboidal element experiences different tensions on each face. How do you derive the total stress tensor considering these factors?

   Hint

   Use the definition of the stress tensor in relation to the forces applied.

6. 6.

   In a beam under bending, how would tensile and compressive stresses distribute through the material? Provide reasoning.

   Hint

   Think about how loads act on beams and how materials respond physically.