(x) Consider the one-dimensional (1D) discrete system with linear springs depicted in Figure 1 for which we have the following data: 1) Boundary conditions (fixed support): U1 = 0, 42 = 0 2) External loads: F = 56N 3) Spring constants: K (1) = 3k, k(2) = k, k (3) = 2k, k(4) = k Wanted: Analyze the system in the individual springs and create the equilibrium equations. Calculate the element stiffness matrices and assemble the global stiffness matrix and the global nodal force vector. b) Solve the system for the unknown nodal displacements. Calculate the reaction forces at the supports. 4 =0 (1) 3 -Xm (3) 01-12) = 1 x = 2k (4) 4 k F=56 N www +43 2 4 43 3 Figure 1: One-dimensional (1D) discrete system with linear springs