This HW is Type-I, i.e., collaboration is allowed, but in a very limited sense. You may discuss and work together in a group, but in the end, you will need to self-certify that you can solve all the problems in this HW independently, i.e., on your own. The 3-element, 4-node frame structure shown in the figure below is to be analyzed, as per our discussion in class. All members of the structure are made of the same material (E) and have the same geometric properties A and I. The problem data is: A = 0.01 m, E = 760 MPa, I = 8.75 x 10-6 m The elements are welded at nodes 1,2 and 3. But at node 4, there is a pin joint. The linearly varying distributed force on element 3 is acting normal to that element. The point forces of 75 kN and 20 kN are horizontal and vertical, respectively. 2.00 m I 10 kN/m 1 2.00 m 1.00 m 75 kN 3 mitum 2 1.00 m 2 20 kN + 35 kN/m 2.00 m 1 (3) Note the pin joint at node 4 Problem 1 Compute the unknown generalized nodal displacements: U5, U6, U12. Solution Hint: U4 = -9.57 mm Problem 2 Compute the unknown generalized reaction forces: Q, Q2, Q3, Q8, Q9, Q10, Q11- Solution Hint: Q7 = 75063.2 N Problem 3 Compute the bending moment at the midpoint location of element 3. Your task list for this assignment is as follows: 1. Produce a single pdf file. This single pdf file should contain your handwritten work as well as your MATLAB code and output for each of the problems in this assignment. Upload this pdf file on Blackboard.