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Week 8, Question 2: Member AC of the following truss is subjected to a temperature change...
Week 8, Question 2: Member AC of the following truss is subjected to a temperature change...
Week 8, Question 2: Member AC of the following truss is subjected to a temperature change of +80 °C. Calculate the displacements of node A and the forces in each member using the stiffness method. Take: a= 2x 10-5; EA= 2x 104 kN; the cross section area of AC as A; the cross section area of AD as A 2; the cross section area of AB as 1A. 1.732 m I'm kim Part 1. The displacements at joint A: a)...
Week 8, Question 2: Member AC of the following truss is subjected to a temperature change...
Week 8, Question 2: Member AC of the following truss is subjected to a temperature change of +50 °C. Calculate the displacements of node A and the forces in each member using the stiffness method. Take: a= 2x 10-5; EA= 2x 104 kN; the cross section area of AC as A; the cross section area of AD as AV2; the cross section area of AB as 2.0A. B 1.732 m 1 m D Part 1. The displacements at joint A:...
For the truss shown in the following figure, the temperature of member BC is raised by...
For
the truss shown in the following figure, the temperature of member
BC is raised by 50 ∘C, and member BD is raised by 80 ∘C. EA= 300000
N for all members and α= 1/75000 1/∘C. Use the stiffness method to
do the following:
Week 8, Question 1: For the truss shown in the following figure, the temperature of member BC is raised by 50 °C, and member BD is raised by 80 °C. EA= 300000 N for all members...
the required data is there , just need to caslculate it Week 8, Question 1: For...
the
required data is there , just need to caslculate it
Week 8, Question 1: For the truss shown in the following figure, the temperature of member BC is raised by 60 °C, and member BD is raised by 40 °C. EA= 300000 N for all members and a= 1/75000 18 C. Use the stiffness method to do the following: B 5 m с D Part 1. Calculate the displacements at the joints: a) Ax = mm b) Ay =...
For the truss shown in the following figure, the temperature of member BC is raised by...
For the truss shown in the following figure, the temperature of member BC is raised by 10 °C, and member BD is raised by 150 °C. EA= 300000 N for all members and a= 1/75000 1/°C. Use the st do the following: А B 5 m A с D 5 m Part 1. Calculate the displacements at the joints: a) Ax = mm b) Ay = mm c) B. = mm d) B = mm e) Ct = mm Part...
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...
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...
Problem 2: The figure below shows a two-member plane truss supported by a linearly elastic spring....
Problem 2: The figure below shows a two-member plane truss supported by a linearly elastic spring. The truss members are of a solid circular cross section having diameter, d = 20mm, and E = 80 GPa. The linear spring has a stiffness constant of 50 N/mm. A load of 15 kN is applied at 3 at an angle of 50 degrees with the horizontal. Find (a) The global displacements of the unconstrained node and (b) compute the reaction forces and...
Estimate the redundant force in the truss member BC as shown in the following FIGURE. The...
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
1) A three-member plane truss is shown in the figure. Member (2) has a cross section...
1) A three-member plane truss is shown in the figure. Member (2) has a cross section of 65 mm' and is made of steel (E = 207 GPa) while members (1) and (3) have a cross section of 75 mm² and are made of Aluminum (E = 70 GPa). Determine displacement at the free end (node 3) and stresses in each member. Solve this problem by analytical method discussed in the class (and lecture notes). 12 KN (1) 30 2.50...
Week 8, Question 2: Member AC of the following truss is subjected to a temperature change of +80 °C. Calculate the displacements of node A and the forces in each member using the stiffness method. Take: a= 2x 10-5; EA= 2x 104 kN; the cross section area of AC as A; the cross section area of AD as A 2; the cross section area of AB as 1A. 1.732 m I'm kim Part 1. The displacements at joint A: a)...
Week 8, Question 2: Member AC of the following truss is subjected to a temperature change of +50 °C. Calculate the displacements of node A and the forces in each member using the stiffness method. Take: a= 2x 10-5; EA= 2x 104 kN; the cross section area of AC as A; the cross section area of AD as AV2; the cross section area of AB as 2.0A. B 1.732 m 1 m D Part 1. The displacements at joint A:...
For
the truss shown in the following figure, the temperature of member
BC is raised by 50 ∘C, and member BD is raised by 80 ∘C. EA= 300000
N for all members and α= 1/75000 1/∘C. Use the stiffness method to
do the following:
Week 8, Question 1: For the truss shown in the following figure, the temperature of member BC is raised by 50 °C, and member BD is raised by 80 °C. EA= 300000 N for all members...
the
required data is there , just need to caslculate it
Week 8, Question 1: For the truss shown in the following figure, the temperature of member BC is raised by 60 °C, and member BD is raised by 40 °C. EA= 300000 N for all members and a= 1/75000 18 C. Use the stiffness method to do the following: B 5 m с D Part 1. Calculate the displacements at the joints: a) Ax = mm b) Ay =...
For the truss shown in the following figure, the temperature of member BC is raised by 10 °C, and member BD is raised by 150 °C. EA= 300000 N for all members and a= 1/75000 1/°C. Use the st do the following: А B 5 m A с D 5 m Part 1. Calculate the displacements at the joints: a) Ax = mm b) Ay = mm c) B. = mm d) B = mm e) Ct = mm Part...
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 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...
Problem 2: The figure below shows a two-member plane truss supported by a linearly elastic spring. The truss members are of a solid circular cross section having diameter, d = 20mm, and E = 80 GPa. The linear spring has a stiffness constant of 50 N/mm. A load of 15 kN is applied at 3 at an angle of 50 degrees with the horizontal. Find (a) The global displacements of the unconstrained node and (b) compute the reaction forces and...
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
1) A three-member plane truss is shown in the figure. Member (2) has a cross section of 65 mm' and is made of steel (E = 207 GPa) while members (1) and (3) have a cross section of 75 mm² and are made of Aluminum (E = 70 GPa). Determine displacement at the free end (node 3) and stresses in each member. Solve this problem by analytical method discussed in the class (and lecture notes). 12 KN (1) 30 2.50...
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