A roof truss is loaded and supported as shown in Figure 2. The joints are all pinned.Take L = 3 m and e = 35°.(a) If P = 500 N, determine the support reactions at A and D.(b) If P = 500 N, find the forces in all the members of the truss. State whethereach of the members is in tension or compression.(c) Determine the maximum magnitude P of the two loads that can be applied tothe truss, if the maximum allowable tensile force in the members of the trussis 2 kN and the maximum allowable compressive force is 1.2 kN.BY7.Figure 2

Answered: A roof truss is loaded and supported as…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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(b) Figure Q2(b) shows that the truss supports loads at point C and E. If the value of F = 3 kN, calculate the axial forces in members BC and BE.
Using the method of joints, determine the force in each member of the roof truss shown. Take the load P = 1.4 kN. (Round the final answers to a single decimal place.) 6 m- 2.4 kN B 9 m 6 m 2.4 kN O 6 m 9 m The force in member DF (FDF) is 0. The force in member EF (FEF) is The force in member AB (FAB) is The force in member AC (FAC) is The force in member BC (FBC) is The force in member BD (FBD) is The force in member CD (FCD) is The force in member CE (FCE) is The force in member DE (FDE) is P 7.5 m kN. (Compression) kN. (Compression) KN. (Tension) kN. (Compression) kN. (Compression) kN. (Tension) kN. (Tension) kN. (Compression)
The two vertical steel [E = 200 GPa] rods that support rigid bar ABCD are initially free of stress. Rod (1) has an area of A₁ = 350 mm² and a length of L₁ = 2.1 m. Rod (2) has an area of A₂ = 375 mm² and a length of L₂ = 1.5 m. Assume dimensions of a = 3.2 m, b = 1.1 m, and c = 1.4 m. After a load of P = 130 kN is applied to the rigid bar at D, determine: (a) the normal stresses in rods (1) and (2) (b) the magnitude of the downward deflection of the rigid bar at D. y,v (2) a L2 Rigid bar L₁ Answer: (a) σ₁ = i 02= i (b) VD= i (1) B MPa MPa mm -X,U b C ↓ С D P
Determine the forces in members CG and GH of the symmetrically loaded truss. The forces are positive if in tension and negative if in compression. 5 m A B بان Answers: GH = CG= i 5 m- + -6 m C. 30° 5 m H G D. L 5 m L L E
Part B As shown, the truss is loaded by the forces P₁= 207 lb and P₂ = 398 lb and has the dimension a = 3.10 ft. FAB, FBC, FBD = VAΣ vec Using the method of joints, determine FAB FBC, and FBD, the magnitude of the force in each of the members connected to joint B. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption. Express your answers numerically in pounds to three significant figures separated by commas. ► View Available Hint(s) ? P²1₁ B A lb P₁ C
The two vertical steel [E = 200 GPa] rods that support rigid bar ABCD are initially free of stress. Rod (1) has an area of A1 = 410 mm2 and a length of L1 = 3.2 m. Rod (2) has an area of A2 = 355 mm2 and a length of L2 = 1.3 m. Assume dimensions of a = 3.4 m, b = 1.2 m, and c = 1.5 m. After a load of P = 50 kN is applied to the rigid bar at D, determine: (a) the normal stresses in rods (1) and (2) (b) the magnitude of the downward deflection of the rigid bar at D. y,v (2) L2 a B C D x,u Rigid bar |(1) Answer: (a) o1 = i MPa 02 = i MPa (b) VD = i mm
The truss structure shown below is subjected to the following loads F1= 437 lb F2= 726 lb and has the following geometry: w = 10 ft F2 F1 F1 W W -B D G. F -AC E Determine the support reactions at A and E. Determine the forces in members BC, CG, and FG and state whether they are in tension or compression. Determine the forces in members ED and EF and state whether they are in tension or compression.
The asymmetric simple truss is loaded as shown. Determine the reactions at A and D. Neglect the weight of the structure compared with the applied loads. Is the knowledge of the size of the structure necessary? 1L 60° Answers: Ay = i Dy= Dx= i i B 3L 60° 60° E y 1 1L L L L 30° x 4L D
All two-force members of the loaded structure are of the same length. Member BCD is a rigid beam. Determine the forces in members BG and CG. The forces are positive if in tension, negative if in compression. A Answers: BG= CG = i i B G L L L E
Please show your complete solution. Thank you!The three-member space truss supports the loading of F= 1000N. Determine the force reactions at B, C, and D.
Determine the forces in each member of the space truss. Detailed solution please.

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