Solve the below given problem by modifying the MATLAB program given in class and by hand. During the assembly of the system, the spring has its free length but the mid point of the beam is deflected w=3mm upward. What is the final deflection of the beam? The beam has the width of 8 mm, height of 2mm, k=100N/mm, L=1m, and E=210Gpa. Note that the system is hyperstatic but FEM can solve hyperstatic systems. A, E, I Element stiffness matrix of Euler-Bernoulli beam is given by EI [k] - [B] Ef [B] dx - EI 12 12 6L 12 6.L