Figures index

From

Mechanical Stress Analysis of Tree Branches

Zahra Shahbazi, Allison Kaminski, Lance Evans

American Journal of Mechanical Engineering. 2015, 3(2), 32-40 doi:10.12691/ajme-3-2-1
  • Figure 1. Tree branch model showing the force due to weight acting on the branch along with its components
  • Figure 2. Case 3 tree branch model, tapered with a circular cross section. Where α is the angle of taper
  • Figure 3. Case 4 taper in the x-y planes and x-z planes. RHo and RVo are the radii in the horizontal and vertical directions respectively at the base of the tree branch. is the angle of taper in the horizontal direction. β is the angle of taper in the vertical direction
  • Figure 4. Case 5, a tree branch model of a fixed circular cross section and varying MOE in the radial direction
  • Figure 5. Case 6: Curvy tree branch model, where yt is the height of the branch on top of the axis,yb is the height below the axis
  • Figure 6. Image of the Graphical User interface
  • Figure 7. 2D “Simple Beam” branch model
  • Figure 8. 2D Model containing secondary branches
  • Figure 9. 3D Finite Element analysis on a real tree branch (Sassafras albidium)
  • Figure 10. Length of branch versus maximum stress
  • Figure 11. Diameter versus stress
  • Figure 12. Diameter to mass ratio versus maximum stress
  • Figure 13. Mass versus maximum stress
  • Figure 14. Aspect from vertical versus maximum stress
  • Figure 15. Percent change in MOE from reference percent versus maximum stress
  • Figure 16. Branch Shapes generated by polynomial equations and their corresponding stress values
  • Figure 17. Stress pattern with and without leaves