Approximate Solutions - The Ritz Method

Finding approximate solutions using The Ritz Method. Showing an example of a cantilevered beam with a tip load. Governing Equations: Weak Forms vs Strong Forms:    • Governing Equations: Weak Forms Versus Str...   The Galerkin Method:    • Approximate Solutions - The Galerkin Method   Download notes for THIS video HERE: https://bit.ly/37mHsH Download notes for my other videos: https://bit.ly/37OH9lX 0:00 Finding the exact solution for the tip loaded cantilevered beam 3:53 The Ritz Method - Mathematical and historical background 10:46 The Ritz Method - Finding a suitable shape function 14:40 The Ritz Method - Formulating the potential energy expression 20:10 The Ritz Method - Minimizing the potential energy with respect to a 22:12 Comparing exact and approximate solutions 24:22 Quick recap