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 1A. B 1.732 m A 1 m D 1 m Part 1. The displacements...
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...
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...
two-member truss is subjected to a load P 8000 N. Me mber 1-2 is 400 mm long. 4.12. A ember 1-3 was manufactured to be 505 mm long instead of 500 mm. However, it was forced into place. Determine stresses in the members assuming that member 1-3 was manufactured to its correct (a) the length of 500 mm load P, of course). pression in the text.) Take cross-sectional areas 750 mm2, E 200 GPa (b) thestresses in the members as...
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...
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....