An axial force F is being applied on a composite cantilever beam. The first segment is of length L, cross-sectional area A and Young's modulus . The second segment is of 1' length L, cross-sectional area A and Young's modulus . 2 fixed support) E. E2 22 2 Suppose the bar has been discretized in such a way that it has three nodes (1,2,3) and two bar elements. Recall from class lecture that, Forces on a single bar element with young's modulus E, cross-sectional area A, length L and nodes i and j, for such a problem will have the following equations: F= - EA [u u;] L EA F. F = E^ [ u + u;] - Derive the matrix form of stiffness matrix which relates the force vector with the displacement vector for this problem, as shown in the class. Notice the properties of the bars are different for each bar element. Make sure you account for that rather than blindly copying from class lectures. (10 pts) - Apply boundary conditions assuming F = 100 N and rewrite the reduced matrix as