Summary: Plane Truss Figure 3 shows a truss that is supported by a pin joint at...

Transcribed Image Text:

Summary: Plane Truss Figure 3 shows a truss that is supported by a pin joint at A and a roller support at F. It's vertical and horizontal members are all 6 ft in length as shown (leading to interior angles of 45 or 90). A vertical load of 7000 lb is applied at point H. (a) Draw a free body diagram of the plane truss system, treating it as a single, rigid body [5 points] (b) Prove that the vertical reactions at A and Fare A = 2800 lb and Fy = 4200 lb [5 points] (c) Use the Method of Sections to find the forces experienced by members CD and CH. Be sure to label these forces as tension or compression (a "T" or "C" is acceptable) [25 points] (d) Use the Method of Joints to find the force experienced by member BC and label it as tension or compression (a "T" or "C" is acceptable) [15 points] NOTE: There is a quick way to use your answers for part C in your solution to part D. There are also several long ways to find the answer. Use the quick method B K9 C D E J I H G 6' 6' 18'- 12'- 7000 lb 6' Figure 3 Summary: Plane Truss Figure 3 shows a truss that is supported by a pin joint at A and a roller support at F. It's vertical and horizontal members are all 6 ft in length as shown (leading to interior angles of 45 or 90). A vertical load of 7000 lb is applied at point H. (a) Draw a free body diagram of the plane truss system, treating it as a single, rigid body [5 points] (b) Prove that the vertical reactions at A and Fare A = 2800 lb and Fy = 4200 lb [5 points] (c) Use the Method of Sections to find the forces experienced by members CD and CH. Be sure to label these forces as tension or compression (a "T" or "C" is acceptable) [25 points] (d) Use the Method of Joints to find the force experienced by member BC and label it as tension or compression (a "T" or "C" is acceptable) [15 points] NOTE: There is a quick way to use your answers for part C in your solution to part D. There are also several long ways to find the answer. Use the quick method B K9 C D E J I H G 6' 6' 18'- 12'- 7000 lb 6' Figure 3