A 10-element, 6-node planar truss is shown below. Let A = 0.02 m and E = 200 GPa for all elements. Note the spring with spring constant k, at node 5. In this assignment, you will essentially duplicate the truss-analysis steps that we have discussed in class during this past week. Note: L=3 m, A=0.02 m, E=200 GPa 2 150 kN 100 kN 3 250 KN 6 k, 600 x 10 N/m Your task list is as follows: 1. Draw a neat figure, and show all the nodal primary and secondary variables (i.e., the U's and the F's at each node). 2. Derive the finite element matrix equations for this problem in the form: where K = BTDB. [K][U] = (F) 3. Apply the boundary conditions, and solve for (i) the unknown nodal displacements, (ii) the un- known reaction force components at each of the supports., and (iii) the unknown forces in each of the elements (i.e., bars). 4. Produce a single pdf file that contains your handwritten work as well as your MATLAB code and output, and upload this pdf file on Canvas. Solution Hints 1. Recall that this quiz is Type I (i.e., only very limited collaboration is allowed). 2. Partial answers are: U3 = 2.4999 x 10-5 m, Ug = 3.50013 x 10-4 m. and q = -4004.73 N.