1, Truss Calculations The objective of the statics activity is to design a bridge, test it to the breaking point, and evaluate if the breaking point matches with the engineering calculations. The activity spans over three weeks based on the following itinerary. This week, we will perform truss calculations and use MATLAB to solve the equations. The results are used to qualify a web-based program so we can use it in upcoming activities. Please do the work in collaboration with a classmate but submit your deliverable individually. Each person must submit a distinct deliverable. Next week, we will perform research on existing bridge types. We will use the web-based program to design a strong bridge. During the third week, we will create an AutoCAD layout of the bridge, laser-cut it, and perform a destructive test to measure its maximum load-bearing capacity. When the bridge breaks, we will collect the broken pieces and check if the location of breakage matches the expected location, based on the design calculations. Statics Calculations: 1. Start with the following truss. Bottom left node is pinned. Bottom right node is horizontal rolling. Draw this truss on your paper. UT Dallas UT DALLAS MECH 1208, In Class Activity (ICA) 2.00 11.00 2. Label the joints as 0, 1, 2, and 3 (see below) 3. Draw on your paper a coordinate system x, y to identify the positive direction 4. Show the external forces. Set their direction in the positive x and positive y as shown. 0 2 0 Fix Force F Fy Page 1 of 26 Statics Calculations: 1. Start with the following truss. Bottom left node is pinned. Bottom right node is horizontal rolling. Draw this truss on your paper. UT Dallas UT DALLAS MECH 1208, In Class Activity (ICA) 2.00 11.00 2. Label the joints as 0, 1, 2, and 3 (see below) 3. Draw on your paper a coordinate system x, y to identify the positive direction 4. Show the external forces. Set their direction in the positive x and positive y as shown. 0 2 0 Fix Force F Fy Page 1 of 26 5. Show all internal forces as tension (pulling away from each node) and draw a free body diagram for each node. Fix 77 O Fo 03 5.85 431 2.00 3 5.50 6. Include hand-drawn free body diagrams in your report for nodes 0, 1, 2, and 3. For example, the free body diagrams at Node 0 and Node 1 are shown below. - All members are in tension and they are pulling away from the node in the free body diagrams. - Member 03 is pulling at Node 0 with a force F03 - Member 01 is pulling at Node 0 with a force F01 Draw a free body diagram for each node. Include the four different free body diagrams in your report. F 01 877 F 02 Fa F01 UT Dallas X F 1x 12 F Free body diagream for Node 0 Free body diagram for Node 1 Page 2 of 26 7. Notice the angle 0 in the image of Step 5, above a. sin(0) 2.00/5.85 b. cos(0) 5.50/5.85 c. tan(0) 2.00/5.50 8. Decompose each force into an X component and a Y component 9. For each joint, write the x and y equations and set F = 5 Kg. Some equations are already given. @ Joint 0, Fx = 0: @Joint 0, Fy = 0: @ Joint 1, Fx = 0: F1x + F12+ (5.50/5.85) F01 = 0 @Joint 1, Fy = 0: Fly + (2.00/5.85) F01 = 0 @ Joint 2, Fx = 0: @Joint 2, Fy = F: F02 = F @Joint 3, Fx = 0: @Joint 3, Fy = 0: 10. Notice, your variables are F1x, F1, F3, F01, F02, F03, F12, F23, while F is a constant that you will specify. 11. Set F5 and write down your set of equations.