For the loaded truss shown in the Figure below, 1. Draw the free body diagram of the truss. 2. Determine the reactions at the external supports A and B. 3. Compute the forces induced in members EC, EF, CF and FB. C 2 m E 2 m B 2 m 4 m 2 m 500 kg
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- The figure shows a three-pin arch. Determine the horizontal component of the pin reaction at A caused by the applied force P.Problem 2 Determine the reaction for the given support in the truss as shown in Figure 2.0. All inclinced forces are perpendicular in member AC USE 3 DECIMALS ONLY. 15 EN 10 kN 5 KN 12m 2.5m 2.5m 2.5m 2.5m 15 kN 8.5 kN 18 kN Figure 2.0 O 29°C Mostly cloudy ^ GFind the A and B support reactions in the truss system given below.
- 1. Use the METHOD OF SECTIONS to determine the forces in members AC, BC, and BD of the truss in Figure 1 and indicate whether each of these members is in tension or compression. As usual, show any free-body diagram(s) (including all essential components), and clearly annotate all calculations. Note: You may use the support reactions calculated in Tutorial S2, Problem 3 without repeating the necessary calculations. А C 220° 1 m 25 KN В 1 m 1 m Figure 1. [ans.: FAC = 51.29 kN (tension); FBC = -22.73 kN (comp); FBD = -16.07 kN (comp)]The following figure (5.12 from the text) shows a truss with several zero force members. Identify the seven (7) zero force members in the following list. Hint: make many passes through the truss. Once you find one zero force member you'll find more. Hint 2: You don't need to determine the magnitudes of the reactions, but you do need to determine if any of them are zero. 4 m 4 m 4 m. IF G 3 m 3 m B 40 kN 80 kN K 3 m A 4 m АК AL BJ BK CD СЕ CJ DE EJ FG FI HI O O O O 00000 O O010 ft Using the figure below, determine the forces in the members of the truss and the reactions at the supports. 10 ft 10 ft 10 ft 10 ft F1=10,000 Ibs F2=15,000 Ibs E A H. F F3=10,000 Ibs
- 1. Use the METHOD OF SECTIONS to determine the forces in members AC, BC, and BD of the truss in Figure 1 and indicate whether each of these members is in tension or compression. As usual, show any free-body diagram(s) (including all essential components), and clearly annotate all calculations. Note: You may use the support reactions calculated in Tutorial S2, Problem 3 without repeating the necessary calculations. A E 220° 1 m 25 KN B D 1 m 1 m Figure 1. [ans.: FAC = 51.29 kN (tension); FBC = -22.73 kN (comp); FBD = -16.07 kN (comp)]For the simple truss in figure QI below, 9 kN 6 kN 3 kN 3m 3m c в 3 m 3 m 1 m 5 m Figure Q1: Simple truss structure Determine: a. If the structure is statically determinate b. Draw a free body diagram of the frame structure and thereafter, determine the magnitude and sense of the reaction forces at the joint A and joint G. c. Using the method of sections, determine the sense and magnitude of the forces in the members, BC, BE and FE, using the principle of static equilibrium of moments.Figure b shows a truss structure in static equilibrium that is simply supported at A and C. Calculate the reaction forces RA and RC when subjected to vertical loads of 50 kN, 25 kN and 15 kN at nodes D, E & C, respectively.
- Question 4 For the truss shown in Figure 6 below: i Determine the reaction forces at A and E. ii. Identify the zero-force member(s) and justify your answer. iii. Using the method of sections, determine the forces in members BC. BH and AH (specify whether the members are in tension or compression). 15 kN 10 kN 15 kN B D 3 m H. 3 m A E' 3 m 3 m 3 m 3 m Figure 64. Consider the truss shown in the Figure 6 below: 250 KN C 100 KN 450 450 5m Figure 6 a. Calculate the reactions at joints A and B b. Using the method of joints, calculate the forces in members AB, AC and BC. с. State if the forces are in tension or compression2 m Roller 2 m 45° 45° A 2 m Pin-Joint 500N 3.1 Determine the reaction forces at the supports of the truss structure. Determine the member forces (FAB, FAD, FAC, Foc, FCD ). Define whether each member is in tension or in compression. Based on your calculations, replace the figure with an equivalent truss structure by removing the zero-force members, if there is any, and sketch its figure (showing dimensions, supports, applied load, 50ON, similar to the figure given above). 3.2 3.3 3.4