Problem 3. (3 points). Determine the nodal displacements and reaction forces using the finite element direct method for the 1-D bar elements connected as shown below. Do not rename the nodes or elements when solving. Assume that the bars can only undergo translation in x (1 DOF at each node). Nodes 1 and 3 are fixed. Element 1 has Young’s Modulus of 300 Pa, length of 1 m and cross-sectional area of m. Element 2 has Young’s Modulus of 200 Pa, length of 2 m and cross-sectional area of 1 m2. There is an applied external force acting at Node 2 of 20 N 20 N Element 1 Element2 Node 2 Node 1 Node 3