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Joint Displacement - Finite Element Analysis - Assignment, Exercises of Mathematical Methods for Numerical Analysis and Optimization

Baddi University of Emerging Sciences and TechnologiesMathematical Methods for Numerical Analysis and Optimization

Main points are: Joint Displacement, Axial Forces, Vertical Support Settlement, External Forces, Area of Cross Section, Numerical Values, Junction of Three Members, External Loads, Top Member in Plane Truss

Typology: Exercises

2012/2013

Uploaded on 04/18/2013

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Finite Element Analysis
Assignment 3
1. Find joint displacement and axial forces in a plane truss shown in the following figure. Area
of cross section of all members is 0.00129 m2. Assume E = 206.842 GPa.
2. Find joint displacements and axial forces in a plane truss shown in the figure of Problem 1
due to vertical support settlement of 0.0254 m at support 3. Assume no external forces.
3. Find joint displacements and axial forces in a plane truss shown in the following figure.
Area of cross section of all members is 10-3 m2, E = 210 GPa.
4. Find joint displacement and axial forces in a plane truss shown in the figure of Problem 3, if
in addition to the applied force the support at joint 1 moves towards right by 50 mm.
5. Find joint displacements and axial forces in the plane truss shown in the following figure.
Assume E = 206.842GPa. Element areas are shown in the figure. 20 k = 88.964 kN, 2 in2 =
0.00129 m2, 4 in2 = 0.00258 m2, 6 in2 = 0.00387 m2, 10ft = 3.048 m, 12ft = 3.6576 m.
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Finite Element Analysis Assignment 3

  1. Find joint displacement and axial forces in a plane truss shown in the following figure. Area of cross section of all members is 0.00129 m^2. Assume E = 206.842 GPa.
  2. Find joint displacements and axial forces in a plane truss shown in the figure of Problem 1 due to vertical support settlement of 0.0254 m at support 3. Assume no external forces.
  3. Find joint displacements and axial forces in a plane truss shown in the following figure. Area of cross section of all members is 10-3^ m^2 , E = 210 GPa.
  4. Find joint displacement and axial forces in a plane truss shown in the figure of Problem 3, if in addition to the applied force the support at joint 1 moves towards right by 50 mm.
  5. Find joint displacements and axial forces in the plane truss shown in the following figure. Assume E = 206.842GPa. Element areas are shown in the figure. 20 k = 88.964 kN, 2 in^2 = 0.00129 m^2 , 4 in^2 = 0.00258 m^2 , 6 in^2 = 0.00387 m^2 , 10ft = 3.048 m, 12ft = 3.6576 m.
  1. Find joint displacements and axial forces in a space truss shown in the following figure. All members have the same cross sectional area. Use the following numerical values. A = 0.003225 m^2 , h = 4.572 m, P = 88.964 kN, E = 206.842GPa.
  2. Find joint displacements and axial forces in four element space truss shown in the following figure. All members have the same cross sectional area, A = 2 10 -3^ m^2. Use E = 210 GPa. Coordinates of each joint (in meters) are shown in the figure. A load of 10 kN is applied in the global y direction at the junction of three members.