Practice Stress Tensor (2) - Traction vector

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6 sample questions

Question 1.
Define the term 'stress tensor'.
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Think about how it relates to the distribution of forces.
Question 2.
What does the traction vector represent?
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Consider how forces act in different directions.
3Question 3.
What does the stress tensor represent?
- A list of forces
- Internal stress distribution
- External forces on a structure
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Think about how stress is distributed within materials.
4Question 4.
True or False: The traction vector is dependent on the choice of the plane.
- True
- False
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Recall how we derived the traction vector independently.
Question 5.
A cuboidal element experiences different tensions on each face. How do you derive the total stress tensor considering these factors?
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Use the definition of the stress tensor in relation to the forces applied.
Question 6.
In a beam under bending, how would tensile and compressive stresses distribute through the material? Provide reasoning.
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Think about how loads act on beams and how materials respond physically.

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