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:
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...
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 =...
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 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:...
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
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...
Finite Element Method 5.17 Displacements of the three-member truss shown are confined to the plane of the figure, and points 1, 2 and 3 are fixed to the stationary rim. All members have the same A, E, and L a) Obtain the 2x2 stiffness matrix that operates on the horizontal and vertical degrees of freedom of the central node. b) Obtain the corresponding global force vector c) Solve for the displacements and for axial stress in member (2-4), when the...
Using the stiffness method, determine the axial forces within members and the displacements of joints of the truss shown in the Figure 1. The truss was built using 50 mm x 50 mm x 3 mm SHS with E= 200 GPa (approx). (Cross members BD and CE are not connected at the middle) (a) Show local stiffness matrices for each member and the assembled global stiffness matrix. Show your step by step solution. (30 Marks) (b) Use an appropriate method...