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![I KN 0.328 0.096 x =21 DI 9,=Gx 92 - Gy=496N = AE [ 0.096 0.405 D2 21.42 [:] I AE 114.73 * Internal force in Element ②: 8=TA](http://img.homeworklib.com/questions/5f020f90-5502-11eb-b235-a9ebd0dbb778.png?x-oss-process=image/resize,w_560)
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Question 4 5 pts The truss structure is shown below. The horizontal concentrated load acting on...
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...
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 the 3-D indeterminate (4-member) TRUSS structure shown in Figure 2A. Given that Px 10K (in...
For the 3-D indeterminate (4-member) TRUSS structure shown in Figure 2A. Given that Px 10K (in X-direction); Py none (in Y-direction); E 30,000 ksi; A 0.2 square inches. The nodal coordinates, the earth-quake displacement/settlement, and members' connectivity information are given aS Applied Load! Earth-Quake MEMBER #1 NODE # X node-i node-j 120.00" 160.00"| 80.00"| Px=-10 Kips none Py- none 120.00" 160.00"0.00"none 120.00"0.00" 0.00" none 0.00" 0.00"0.00" none 0.00" 0.00" 80.00" none none 2 none 4 4 none 4 +2.00" (in...
For the truss shown in the figure below, develop element stiffness matrices in the global co-ordinate system. AE 200 [M...
For the truss shown in the figure below, develop element stiffness matrices in the global co-ordinate system. AE 200 [MN] is the same for all members. Use the direct stiffness matrix method to: i. Establish all element stiffness matrices in global coordinates ii.Find the displacements in node 3 ii. Calculate the member stresses 4m 3m 20kN 2 2 Use HELM resources on Moodle to find required determinant and inverse matrix. Answer 9.6x103 [MPa] 0.24mmm u3-0.20mm 0.45mm 16x10-3 MPa σ2-3- 1...
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 1 The truss (all joints are pinned) structure in figure 1 is made of members with cross s...
We were unable to transcribe this imageProblem 1 The truss (all joints are pinned) structure in figure 1 is made of members with cross sectional area A = 1 in, with a linear elastic, homogeneous, isotropic material with an elastic modulus. E-10E6 psi and a coefficient of thermal expansion, α-6E-6 °F-ι. The structure starts out at a uniform temperature of 65°F and is raised to a final temperature of 120°F while being subjected to a concentrated load Po- 5,000 lbs...
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....
Problem 2 [Required]: For the truss below (and using the Stiffness Method): (a) Determine the global...
Problem 2 [Required]: For the truss below (and using the Stiffness Method): (a) Determine the global stiffness matrix; (b) Calculate the vertical and horizontal displacement at joint B; (c) Calculate the force in members 1 and 5; (d) Calculate the reaction forces. NOTE: Joint A is pinned and Joint D is a roller. AE is constant. Use the chart below for selecting near and far nodes and use the provided coordination numbers. u2 2m 5 2 kN 3 Element 2...
SAN4701 JAN/FEB 2015 QUESTION 1 The truss shown in Figure 1 is hinged at C, B and D It is acted upon at node A by a ver...
SAN4701 JAN/FEB 2015 QUESTION 1 The truss shown in Figure 1 is hinged at C, B and D It is acted upon at node A by a vertically downward force of 3 kN and a honzontal force of 5 kN as shown in Figure 1 Use the method of strffness matrix and analyse for the following (a) Displacement at node A (16) (b) Reaction at the supports (c) Member forces (15) EA 300 x 103 kN and is constant for...
Question 1: For the plane (2D) truss shown below, evaluate the transformation matrix [T] and the stiffness matrix in the local axis system [KL] of all elements. Use these matrices to evaluate the ele...
Question 1: For the plane (2D) truss shown below, evaluate the transformation matrix [T] and the stiffness matrix in the local axis system [KL] of all elements. Use these matrices to evaluate the element stiffness matrix in global axis system [KG] of the members and assembled them to generate the overall stiffness matrix [K of the truss. Modify the stiffness matrix [K] in order to incorporate boundary conditions following the elimination technique of rows and columns. Take E 200 GPa...
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...
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 the 3-D indeterminate (4-member) TRUSS structure shown in Figure 2A. Given that Px 10K (in X-direction); Py none (in Y-direction); E 30,000 ksi; A 0.2 square inches. The nodal coordinates, the earth-quake displacement/settlement, and members' connectivity information are given aS Applied Load! Earth-Quake MEMBER #1 NODE # X node-i node-j 120.00" 160.00"| 80.00"| Px=-10 Kips none Py- none 120.00" 160.00"0.00"none 120.00"0.00" 0.00" none 0.00" 0.00"0.00" none 0.00" 0.00" 80.00" none none 2 none 4 4 none 4 +2.00" (in...
For the truss shown in the figure below, develop element stiffness matrices in the global co-ordinate system. AE 200 [MN] is the same for all members. Use the direct stiffness matrix method to: i. Establish all element stiffness matrices in global coordinates ii.Find the displacements in node 3 ii. Calculate the member stresses 4m 3m 20kN 2 2 Use HELM resources on Moodle to find required determinant and inverse matrix. Answer 9.6x103 [MPa] 0.24mmm u3-0.20mm 0.45mm 16x10-3 MPa σ2-3- 1...
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...
We were unable to transcribe this imageProblem 1 The truss (all joints are pinned) structure in figure 1 is made of members with cross sectional area A = 1 in, with a linear elastic, homogeneous, isotropic material with an elastic modulus. E-10E6 psi and a coefficient of thermal expansion, α-6E-6 °F-ι. The structure starts out at a uniform temperature of 65°F and is raised to a final temperature of 120°F while being subjected to a concentrated load Po- 5,000 lbs...
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....
Problem 2 [Required]: For the truss below (and using the Stiffness Method): (a) Determine the global stiffness matrix; (b) Calculate the vertical and horizontal displacement at joint B; (c) Calculate the force in members 1 and 5; (d) Calculate the reaction forces. NOTE: Joint A is pinned and Joint D is a roller. AE is constant. Use the chart below for selecting near and far nodes and use the provided coordination numbers. u2 2m 5 2 kN 3 Element 2...
SAN4701 JAN/FEB 2015 QUESTION 1 The truss shown in Figure 1 is hinged at C, B and D It is acted upon at node A by a vertically downward force of 3 kN and a honzontal force of 5 kN as shown in Figure 1 Use the method of strffness matrix and analyse for the following (a) Displacement at node A (16) (b) Reaction at the supports (c) Member forces (15) EA 300 x 103 kN and is constant for...
Question 1: For the plane (2D) truss shown below, evaluate the transformation matrix [T] and the stiffness matrix in the local axis system [KL] of all elements. Use these matrices to evaluate the element stiffness matrix in global axis system [KG] of the members and assembled them to generate the overall stiffness matrix [K of the truss. Modify the stiffness matrix [K] in order to incorporate boundary conditions following the elimination technique of rows and columns. Take E 200 GPa...
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