Implement code for assemblies of two-node Euler-Bernoulli beam elements. You can use the 1- or 2dimensional formulation for beam elements in this problem, but you'll need the 2D formulation for problem 4 anyways. A skeleton Matlab code (HW4_beam_elements.m) is provided for implementing beam elements, which you are welcome but not required to use. 3.1 Model both cases (a) and (b) of Figure 1. Perform a mesh convergence study by plotting the tip displacement as the number of elements varies from 1 to 20 . 3.2 How many elements are required to accurately model case (a) and case (b)? Why is this the case? Explain.