Analyse the ten members truss structure shown in Figure 02 using Compatibility Method and calculate the...
2. For the pin-jointed truss shown in Figure Q2.1 applied at node 4. The Young's modulus E(GPa) is the same for the three truss vertical downward force P(kN) is a members. The cross sectional area of each of the truss members is indicated below and expressed in terms of a constant A. By using the stiffness method: (a) Compute the reduced stiffness matrix Kg [5 marks [10 marks (b) Calculate the global displacements of node 4 in terms of P,...
please answer #1 answers are in photo below questions. please solve 1. (20 pts.) The truss structure shown has 3 members: BD, CD and BC. The value of EA (where E-Young's modulus and A-cross-sectional area) for each of the members is 200 x 103 [kN]. (1) Determine the support reactions at B andCt (2) Determine the vertical displacement of the joint D, "D, (3) Determine the horizontal displacement of the joint D, uph. 0 30° 10 kN 2.13mm 2. (20...
Estimate the redundant force in the truss member BC as shown in the following FIGURE. The truss is subjected to a vertical load P as 50 kN. Members AB, AC, CD, and BD are 5 m long. The cross-sectional area of all members is constant. The support at A is the pin support and the support at B is the roller support. P = 50 kN Ан, B Av Ву
Analyse the beam shown in Figure 4 using the stiffiness method. Node D is fixed and node 2 and 3 are rollers. A uniform distributed load of 1 kN/m is acting on member 1 . And a load of 10 kN is acting at the middle of member2. EI is constant for all members a) Identify the force vector of the structure; [4 marks] b) Identify the displacement vector of the structure; [2 marks] c) Determine the stiffness matrices of...
The truss shown in the figure is constructed from three aluminum alloy members, each having a cross-sectional area of A 800 mm2 and an elastic modulus of E 70 GPa. Assume that a 4.0 m, b 10.5 m, and c 5.0 m. Calculate the horizontal displacement of roller Bwhen the truss supports a load of P 14 kN B X a The truss shown in the figure is constructed from three aluminum alloy members, each having a cross-sectional area of...
Please solve this question clearly and step by step. Thank you 2. A truss assembly shown in Figure Q2 below is made of aluminum alloy that has a modulus of elasticity, E = 69 GPa. member is 225 mm2 The cross sectional area of each 4300 N (0, 40) m (40, 40) m 2 500 N 3 (0, 0) FIGURE Q2 Determine the global stiffness matrix for the truss assembly. a. [10 marks] Determine the displacement at node 3. b....
A plane structure consists of three truss elements connected to four nodes, as shown below. All trusses have cross sectional area A -7.104 m2 and elastic modulus E = 210 GPa. The length of each truss element is L = 1 m. A point force, P -5 kN, is acting on node 4 L/2 3.1 Calculate the displacements at the nodes 3.2 Calculate the reaction forces 3.3 Calculate the stress in each bar A plane structure consists of three truss...
The truss shown in the figure is constructed from three aluminum alloy members, each having a cross-sectional area of A 800 mm2 and an elastic modulus of E 70 GPa. Assume that a 4.0 m, b 10.5 m, and c 5.0 m. Calculate the horizontal displacement of roller Bwhen the truss supports a load of P 14 kN B X a
minate truss of Figure P3.12 is simply-supported at its ends A, D and 3. dsd by a vertical force F at C. All the members have cross-sectional area A and load c material with Young's modulus E. Find the vertical displacement u under the load at C
(b) For the structure in Figure 4, use the Force Method to find the axial force in the tie, CD, due to the uniform loading, q-10 kN/m. Neglect axial deformation in the frame, ABC. The product of Young's modulus and 2nd moment of area for the beam, ABC, is EL The tie, CD, has the same Young's modulus and an area of, a = 100 (60%) Page 2 of 7 5 Figure 2 Figure 3 Figure 4