(2) Truss Analysis by Hand using Method of Sections (20 pts) Consider the truss structure shown in Figure 2. The magnitude of F is 25 kN. Your solution for this problem should include assumptions, appropriate free-body diagrams, and calculations. 2.5 m BK 2.5 m D E 2.5 m. 2.5 m 1.6F F Figure 2 (a) Find the loads acting at supports D and E, and find the force in members AB, AC, BC, BD, CD, CE, and DE of the truss using the Method of Sections. Present your answers in a table format as shown as Table 2, including whether each truss member is in compression, tension or a zero-force member. (b) Check your answers for forces in members CE and DE from (a) using the Method of Joints. (c) In your summary table of forces-in-members note which member(s) might buckle, and which member(s) could be replaced with cables. (consider all members listed in the Table). (d) If a safety factor of 2 is required, what are the necessary compressive/buckling load and tensile load capacities of the critical (controlling) members (considering all members listed in the Table)? Clearly indicate which members you considered in determining these capacities. Assume all members are made of the same material of the same cross-sectional area. Table 2 Member Force in member Compression (C, -), Tension (T, +), or Replace with Possible buckling? (kN) zero-force member? cable? AB AC -23.09 Compression (C,-) BC Compression (C,-) BD CD 75.06 Tension (T, +) CE DE Necessary buckling/tensil e capacities? [kN] (2) Truss Analysis by Hand using Method of Sections (20 pts) Consider the truss structure shown in Figure 2. The magnitude of F is 25 kN. Your solution for this problem should include assumptions, appropriate free-body diagrams, and calculations. 2.5 m BK 2.5 m D E 2.5 m. 2.5 m 1.6F F Figure 2 (a) Find the loads acting at supports D and E, and find the force in members AB, AC, BC, BD, CD, CE, and DE of the truss using the Method of Sections. Present your answers in a table format as shown as Table 2, including whether each truss member is in compression, tension or a zero-force member. (b) Check your answers for forces in members CE and DE from (a) using the Method of Joints. (c) In your summary table of forces-in-members note which member(s) might buckle, and which member(s) could be replaced with cables. (consider all members listed in the Table). (d) If a safety factor of 2 is required, what are the necessary compressive/buckling load and tensile load capacities of the critical (controlling) members (considering all members listed in the Table)? Clearly indicate which members you considered in determining these capacities. Assume all members are made of the same material of the same cross-sectional area. Table 2 Member Force in member Compression (C, -), Tension (T, +), or Replace with Possible buckling? (kN) zero-force member? cable? AB AC -23.09 Compression (C,-) BC Compression (C,-) BD CD 75.06 Tension (T, +) CE DE Necessary buckling/tensil e capacities? [kN]