3.4. Quiz#

Test yourself with this quiz.

3.4.1. Scaling laws#

3.4.1.1. Quizzes on Geometric similarity#

We assume to have similarity on all geometrical parameters : \(r^* = d^* = …= l^*\)

3.4.2. Buckingham theorem and scaling laws#

Thanks Buckingham theorem, find evolution of stress \(\sigma\) with geometrical dimension for a rectangular sample under a load in a three-point bending setup:

  • \(F\) is the load (force) at the fracture point (N)

  • \(L\) is the length of the support span

  • \(b\) is width

  • \(d\) is thickness

beam

3.4.3. Mechanics: stress & components examples#

rod-end