The structure shown in Figure 2 was modelled using three plane strain triangular shaped elements. The loading and corresponding boundary conditions are shown together with the relevant material properties provided. The nodal coordinates are in mm. 1000N 1, (0,10) (1) 3, (0,0) 2, (10,10) (2) SOON (3) 4,( 10,0) 5, (20,0) X Poisson's ratio, v = 0.3 Thickness, t = 1.0 mm Young's modulus, E = 200 GPa Figure 2: Structure modelled with plain strain elements Requirements for Section B: Using 2D stress analysis, determine the displacement vector of node 2 due to the loads applied on the structure and calculate the corresponding strain (e) and stress (6) vectors in element (2). In your solution, you will need to clearly show your working / calculations for the following components: i) The stiffness matrix [k] for each of the 3 individual elements ii) Formulation of the global stiffness matrix iii)Assembly of the system equations with the appropriate boundary conditions / unknown variables (nodal displacements, reaction forces etc.) in order that the displacements can be calculated. iv) The corresponding [B] and [D] matrices