The beam is fixed at nodes 1 and 5 and has roller support at node 3 as shown in Figure 1. Vertical loads of 50 kN each are applied at node 2 and 4. Let E = 210 GPa and I = 2 10-4 m throughout the beam. Discretize the beam as indicated by the nodal numbering. Elastic curve 2 50 kN 4 50 kN 3m 3 m + 3 m 3 m Figure 1: Beam structure Determine: i. The local stiffness matrix ii. The global stiffness matrix iii. The force vector iv. Setup the system of linear equation in the form of Ax = b v. The displacement and rotation of the active node.