The truss shown in the figure is constructed from three aluminum alloy members, each having a...
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...
The truss is constructed from three aluminum alloy members, each having a cross-sectional area of A = 1350 mm2 and an elastic modulus of E = 62 GPa. Assume a = 2.8 m, b = 9.0 m, and c = 5.5 m. If the horizontal displacement of roller B must not exceed 5.0 mm, calculate the maximum vertical load Pmax that can be supported by the truss. Chapter 5, Supplemental Question 008 The truss is constructed from three aluminum alloy...
The truss is constructed from three aluminum alloy members, each having a cross- sectional area of A = 850 mm2 and an elastic modulus of E = 63 GPa. Assume a = 3.4 m, b = 11.6 m, and c = 5.7 m. If the horizontal displacement of roller B must not exceed 3.6 mm, calculate the maximum vertical load Pmax that can be supported by the truss. Answer: Pmax = KN
The three-bar truss ABC shown in the figure has a span L = 3 m and is constructed of steel pipes having cross-sectional area A = 3900 mm and modulus of elasticity E = 200 GPa. A load P acts horizontally to the right at joint C. (a) If P= 500 kN, what is the horizontal displacement of joint B? (b) What is the maximum permissible load Pox if the displacement of joint B is limited to 2.5mm? 45 45°...
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 )...
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...
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 assembly shown below is made of aluminum, which has an elastic modulus of 70 GPa. There are two members with cross-sectional areas of A1 125 mm2 and A2 75 mm2 a) Draw and label the axial force diagram for the system with the sign convention discussed in class b) Calculate the axial deformation of Members (1) and (2) in mm and state whether they are elongating or shortening. c) Evaluate the movement at point A, vA (in mm). Be...
1. The members of truss are attached together by pins having 5 cm in diameter and 10 cm in length. The truss is supported by a frictionless pin at one end (joint A) and a roller system at the other joint k). The load Lis equal to 5 kN. The section view of the truss member is below and it is homogeneous all along the truss. Elastic modulus is 200 GPa, shear modulus is 75 GPa for the truss. (a)...
The plane truss shown in Figure is composed of members having a square 15 mm × 15 mm cross section and modulus of elasticity E = 69 GPa. a. Assemble the global stiffness matrix. b. Compute the nodal displacements in the global coordinate system for theloads shown. c. Compute the axial stress in each element 3 kN 3 5 kN 2 1.5 m 4. 1.5 m