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Question 1 (25%) For the truss shown on figure 1, determine the horizontal displacement of point...
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 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
Please solve this question clearly and step by step. Thank you 2. A truss assembly shown...
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....
Q1 The pin-jointed wood truss shown in Figure Q1a is subjected to a point load P...
Q1 The pin-jointed wood truss shown in Figure Q1a is subjected to a point load P 24 kN at joint B a) Show that the truss is statically determinant. Indicate zero force members. Determine the force in members BC, CF, GF of the truss [10 marks] b) The truss is made of wooden joists (Young modulus E 10 GPa) with a rectangular cross-section having dimensions of 47mm × 150mm. The vertical displacement of joint B is measured to be 10...
Question 1 (25 points) Determine the horizontal displacement of point C. Assume the members are pin...
Question 1 (25 points) Determine the horizontal displacement of point C. Assume the members are pin connected at their ends. Take A = 400 mm? and E = 200 GPa for each member. 5 kN C 2 m 1.5 m 10 kN Member Foron N: Member forces due to external force P and external applied forces are shown on the figurt. Castigliano's Second Theorem : Applying Eq. 9-27, we have
15 m B- Question 3: Each member of the truss shown is made of steel (E- 2 1 0 GPa ) and has a cro...
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 )...
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...
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,...
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...
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 m...
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...
For truss shown below a vertical load of 25 KN and Horizontal Load of 30 KN...
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...
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 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
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....
Q1 The pin-jointed wood truss shown in Figure Q1a is subjected to a point load P 24 kN at joint B a) Show that the truss is statically determinant. Indicate zero force members. Determine the force in members BC, CF, GF of the truss [10 marks] b) The truss is made of wooden joists (Young modulus E 10 GPa) with a rectangular cross-section having dimensions of 47mm × 150mm. The vertical displacement of joint B is measured to be 10...
Question 1 (25 points) Determine the horizontal displacement of point C. Assume the members are pin connected at their ends. Take A = 400 mm? and E = 200 GPa for each member. 5 kN C 2 m 1.5 m 10 kN Member Foron N: Member forces due to external force P and external applied forces are shown on the figurt. Castigliano's Second Theorem : Applying Eq. 9-27, we have
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 )...
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,...
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...
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...
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