Plane Truss
Plane Trusses
1. A pin-jointed truss is loaded as shown in Figure 1. Without obtaining the reactions at the supports, determine the magnitude of the forces in members AB and BC and state whether they are in tension or compression. (Ans: Fbc = - 4.81 kN, Fab = 2.67 kN)
[pic]
2. The truss frame hinged at A and supported by roller at G, is subjected to a force of 150 kN at D, and 60 kN at F as shown in Figure 2. a) Draw the free-body diagram of the whole truss frame and find the reaction force at G. ( Rg = 219.02 kN) b) By using the Method of Sections or otherwise, find the loads in members AB and AF, stating whether they are in tension or compression. (Fab = 225 kN, Faf = - 59.9 kN)
3. A pin jointed truss is hinged at G and supported at A by frictionless rollers on a vertical plane as shown in Figure 3. External forces of 15 kN, 20 kN and 25 kN are applied at joints B, C and H respectively.
a) Draw the free-body diagram of the truss.
b) Calculate the reaction at A. (Ra = 35.5 kN)
c) Determine the forces in members EF, FI and HI, indicating whether they are in tension or compression. (Fef = - 11.63 kN, Ffi = - 44.4 kN, Fhi = 3.28 kN)
d) Identify the zero-force member (s), if any.
Additional questions
4. A pin-jointed truss is loaded as shown in Figure 4. Without obtaining the reactions at the supports, determine the magnitude of the forces in members BC and CD and state whether they are in tension or compression. (Ans: Fbc = 11.5 kN, Fcd = - 5.77 kN)
5. A lifting crane structure has a truss mechanism as shown in Figure 5. Use Method of Sectioning and without obtaining the reactions at E and G, determine the
1. A pin-jointed truss is loaded as shown in Figure 1. Without obtaining the reactions at the supports, determine the magnitude of the forces in members AB and BC and state whether they are in tension or compression. (Ans: Fbc = - 4.81 kN, Fab = 2.67 kN)
[pic]
2. The truss frame hinged at A and supported by roller at G, is subjected to a force of 150 kN at D, and 60 kN at F as shown in Figure 2. a) Draw the free-body diagram of the whole truss frame and find the reaction force at G. ( Rg = 219.02 kN) b) By using the Method of Sections or otherwise, find the loads in members AB and AF, stating whether they are in tension or compression. (Fab = 225 kN, Faf = - 59.9 kN)
3. A pin jointed truss is hinged at G and supported at A by frictionless rollers on a vertical plane as shown in Figure 3. External forces of 15 kN, 20 kN and 25 kN are applied at joints B, C and H respectively.
a) Draw the free-body diagram of the truss.
b) Calculate the reaction at A. (Ra = 35.5 kN)
c) Determine the forces in members EF, FI and HI, indicating whether they are in tension or compression. (Fef = - 11.63 kN, Ffi = - 44.4 kN, Fhi = 3.28 kN)
d) Identify the zero-force member (s), if any.
Additional questions
4. A pin-jointed truss is loaded as shown in Figure 4. Without obtaining the reactions at the supports, determine the magnitude of the forces in members BC and CD and state whether they are in tension or compression. (Ans: Fbc = 11.5 kN, Fcd = - 5.77 kN)
5. A lifting crane structure has a truss mechanism as shown in Figure 5. Use Method of Sectioning and without obtaining the reactions at E and G, determine the