Objectives 

1.      Verify the provided GWSh normal mode cubic Hermite FE basis implementation algorithm m-file template for analysis of the vibrating Euler-Bernoulli beam problem statement.

2.      Compute the first four eigenfrequencies and eigenmodes using the base mesh.

3.      Via a mesh refinement study, graph the convergence properties of the cubic Hermite FE implementation eigenvalue and eigenmode solutions of the normal mode GWSh algorithm.   Determine the uniform mesh M necessary for engineering accuracy.