2.1. Traction contribution

Try these first

1. 1.

   Define traction in your own words.

   Hint

   Consider forces acting at the boundaries.

2. 2.

   Explain what the stress tensor represents.

   Hint

   Think about how stress is distributed in three dimensions.

3. 3.

   What is traction?

   • Internal forces acting at surfaces
   • External forces applied to the body
   • Gravity's effect on the mass

   Hint

   Focus on what happens inside a material when loads are applied.

4. 4.

   True or False: The stress tensor can vary with position within a body.

   • True
   • False

   Hint

   Think about how stress distributes differently at various points.

5. 5.

   A cuboidal beam of dimensions 2m x 1m x 1m is subjected to a uniform load of 500N across one face. Calculate the traction force acting on that face.

   Hint

   Use the definition of traction to guide your calculations.

6. 6.

   Given a cuboid with varying traction calculated as σ(x) = 3x² + 2x + 1, determine the total traction force on a face from x=0 to x=2 using integration.

   Hint

   Review integration techniques to solve this problem.