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Example1
A simple plane truss is made of two identical bars (with E,
A, and L), and loaded as shown in the figure. Find
1) displacement of node 2;
2) stress in each bar.
Example2
Step 1: Obtaining the direction cosines of the elements
Element 1:
Element 2:
Step 2: Calculation of element matrices in global coordinate system
Solution
K1 K2
Step 3: Assembly of global FE matrices
Solution
Step 4: Applying boundary conditions
Step 5: Solving the FE matrix equation
Solution
To obtain the stresses in the elements,
Solution
Example3
Solve the two-bar truss supported by a spring shown in the figure below. Both
bars have E=210 GPa and A =5.0×10-4 m2. Bar one has a length of 5m and bar
two a length of 10m. The spring stiffness is k = 2000 kN/m.
11
12
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14
15
16
Example4
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20
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22

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1586003052_4.pptx

  • 2.
  • 3.
  • 4.
  • 5. A simple plane truss is made of two identical bars (with E, A, and L), and loaded as shown in the figure. Find 1) displacement of node 2; 2) stress in each bar. Example2
  • 6. Step 1: Obtaining the direction cosines of the elements Element 1: Element 2: Step 2: Calculation of element matrices in global coordinate system Solution
  • 7. K1 K2 Step 3: Assembly of global FE matrices Solution
  • 8. Step 4: Applying boundary conditions Step 5: Solving the FE matrix equation Solution
  • 9. To obtain the stresses in the elements, Solution
  • 10. Example3 Solve the two-bar truss supported by a spring shown in the figure below. Both bars have E=210 GPa and A =5.0×10-4 m2. Bar one has a length of 5m and bar two a length of 10m. The spring stiffness is k = 2000 kN/m.
  • 11. 11
  • 12. 12
  • 13. 13
  • 14. 14
  • 15. 15
  • 17. 17
  • 18. 18
  • 19. 19
  • 20. 20
  • 21. 21
  • 22. 22