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QUESTION 10 The truss shown below is pinned at one end and has a roller at...
4. Consider the 2D truss system shown below which contains only pinned connections. The length of each member is 1 = 1.5 m, their cross-sectional areas are A = 1 cm', and their Young's moduli are E = 69 GPa. The applied force, P = 500 N, and the angles a = 30° and B = 60°. Determine the displacement of each node, the stress in each member, the strain in each member, and the reaction forces.
The truss shown below is supported by a pinned support at A and roller support at C. The length of the members is shown in the Figure below. Set the forces acting on the truss as P1 = 9 kN, P2 = 15 kN. PF 3 m - 5. State whether the members CE and CB are in tension or compression. 6. Determine the cross-sectional areas of the members CE and CB. The stresses are not to exceed 20.2 MPa...
Question 4 The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2 and 3 as 150, 250 and 200 mm2 respectively a) Assemble the upper triangular part of the global stiffness matrix for the truss. b) Determine the horizontal and vertical displacements at node 4. c) Calculate the forces in each member of the truss. (25 marks) 20 kN 3 600 4 3 1.5m...
The beam is shown in the figure below. Use the slope-deflection method. The support Ais pinned, support B is a roller, and support C is fixed. Assume El = 21537 kNm2. The support at B settles by 73 mm (downwards). The segment AB is subjected to a uniformly distributed load w= 11 kN/m. The segment BC is subjected to a point load P = 91 KN. Enter the digit one in the answer box. The link will be provided on...
please show all steps 3. The truss has a pinned support at A and a roller support at C. i. If P = 0 kN and P2 = 5 kN, list all of the zero-force members in the truss (10 points) ii. If P1 = 30 kN and P2 = 16 kN, the support reaction at C is Roy = 28 kN (pointing up) Determine the forces in all members of the truss. Clearly indicate if each member is in...
The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2 and 3 as 150, 250 and 200 mm2 respectively a) Assemble the upper triangular part of the global stiffness matrix for the truss b) Determine the horizontal and vertical displacements at node 4 c) Calculate the forces in each member of the truss. (25 marks) 20 kN 3 60° 4 1.5m 2 2 20m...
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,...
15 m B- Question 3: Each member of the truss shown is made of steel (E- 2 1 0 GPa ) and has a cross-sectional area of A If you know that the joint E subjected to horizontal load 16-kN Determine: .The horizontal displacement of point E . The vertical displacement of point C. 400 mm2 0.8m 16 KN 15 m B- Question 3: Each member of the truss shown is made of steel (E- 2 1 0 GPa )...
Q3: Determine the vertical and horizontal displacement of joint A for the truss shown in Fig. (3). each bar is made of steel and has the cross-sectional area of 400mm Take E = 200 GPa Use the method of virtual work. E D 2 m |в -1.5 m -1.5 m 20 KN 40 KN Fig. (3)
For truss shown below a vertical load of 25 KN and Horizontal Load of 30 KN applied at Node 3 ( Use FEM Nodal displacement, Direct stiffness method) 1). Calculate clearly the member length and distance between members A = 5 x 10^-4 m^2 and E = 200 GPa 2). Determine the member and global stiffness matrix and show the calculation fot Sinθ and Cosθ clearly 3). determine the displacement and member forces All Load and dimensions are in meter...