Consider the spring assembly shown in Fig. k3= k= k. Also, 6 = 3P (a) Obtain the global stiffness matrix in terms of k. (b) Write the full matrix equations, substituting in the displacement boundary conditions (d = 0 and d5 = -8), prescribed load P applied at node 3 acting in the +r direction, and any reaction forces. (c) Write the reduced matrix equations, eliminating the rows and columns associated with the prescribed displacement boundary conditions and adjusting the right-hand-side force vector as appropriate. (d) Solve the reduced equations for the displacements at nodes 2, 3, and 4, in terms of P and k. 1 (e) Substitute your results from part (d) back into the full matrix equations you found in part (b), and solve for the reaction forces at nodes 1 and 5 in terms of P and k. X 2 Let k = (2) 3 5k, k = 2k, and P. 3 (4