Consider the truss made of 2 bars with lengths 1 m, orientated in the structure shown in Figure 1. The two bars have the same cross-sectional areas A = 5-10-4 m and modulus of elasticity E = 2.10 N/m. A force of F1,x = 10 kN is applied in the x-direction at node 1. 90 3 m 2 1m $50 1m 2 1 F1.x 10kN Figure 1: Truss assembly formed of two bars. Nodes and bars are numbered, with bars numbered with underlines. a) Using the numbering system of nodes and bars shown in Figure 1, state the 2 local stiffness matrices for each bar and combine these into a global stiffness system for all nodal displacements of the truss. Use the matrix system given in Eq. 1 below relating the local displacements of a single bar to the local forces applied to its nodes. (fix" fiy fjx fjy C CS -C -CS] AE CS S -CS -S L-C2-CS Ui Vi C2 CS -CS -S2 CS 82 (1) Here C = cos(0) and S = sin(0), where is the angle of orientation of the bar. b) Apply the boundary conditions and specified forces to your global stiffness system of equations and solve for the displacements. c) What is the force required on node 1 for the displacement of the node 1 to be u = 1.10-4 m and V = 0m.