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Fink Truss

Fink Truss
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2017-05-13 02:23
TriangleGeometric ConstructionSlider Animation
This example demonstrates the geometric construction of a Fink truss, a common bridge structure that utilizes the stability and symmetry of triangles. The construction uses GeoGebra commands such as rotation, line, segment, and angle. Suitable for middle school and above students to learn geometric construction and structural stability.

GeoGebra Commands & Parameters

  1. Rotate(A, 120°, B) → A'
  2. Line(B, A) → f
  3. Line(B, A') → g
  4. Line(A, A') → h
  5. Segment(A, B) → i
  6. Segment(B, A') → j
  7. Segment(A', A) → k
  8. Rotate(A, 40°, B) → A'_1
  9. Angle(A, B, A'_1) → α
  10. Rotate(A', (-(40°)), B) → A''
  11. Angle(A'', B, A') → β
  12. Line(B, A'_1) → l
  13. Line(B, A'') → m
  14. Intersect(l, k) → C
  15. Intersect(m, k) → D
  16. Segment(C, B) → n
  17. Segment(D, B) → p
  18. Rotate(A', 70°, D) → A''_1
  19. Angle(A', D, A''_1) → γ
  20. Rotate(A, (-(70°)), C) → A'_2
  21. Angle(A'_2, C, A) → δ
  22. Line(D, A''_1) → q
  23. Line(C, A'_2) → r
  24. Angle(C, B, D) → ε
  25. OrthogonalLine(B, k) → a
  26. Angle(D, B, A') → ζ
  27. Rotate(A, (-(40°)), C) → A'_3
  28. Angle(A'_3, C, A) → η
  29. Line(C, A'_3) → s
  30. Intersect(s, i) → E
  31. Segment(C, E) → t
  32. Rotate(A', 40°, D) → A''_2
  33. Angle(A', D, A''_2) → θ
  34. Line(D, A''_2) → b
  35. Line(D, A''_2) → c
  36. Intersect(c, j) → F
  37. Segment(D, F) → d
  38. Angle(B, C, E) → ι
  39. Angle(F, D, B) → κ
  40. Angle(B, F, D) → λ
  41. Angle(C, E, B) → μ
  42. Angle(D, C, B) → ν
  43. Angle(B, D, C) → ξ