7th circle installation_v02c
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7th circle installation_v02c

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7th circle installation_v02c 7th circle installation_v02c Presentation Transcript

  • Static calculation of the 7th Circle Installation
  • Table of Content
    • Task and approach
    • The models
      • Geometry
      • Boundary conditions
      • Material data
      • Mesh
    • The load cases
      • Gravity
      • Gravity and Constant wind pressure in different directions
    • Results
    • Conclusion
    • Our suggestions
  • Task and approach
    • Investigation of the structure of the recent geometry, which is designed from bronze plane shell with steel pillars and braces.
    • A static calculation was made as an approach of the structure, and will be introduced with a 3D FE model.
    • The simulations were done with a given geometry, sections and wall thickness.
    • The constant wind load is assumed and substituted with a 600 N/m2 pressure.
  • The Model
    • The geometry
    • Steel structure:
    • Sections: SHS 40x40x2.5: base pilars
    • L60x60x5: first horizontal braces (at 2000 mm)
    • L50x50x4: the rest of the horizontal braces
    • diagonal braces
    • side braces
    • The bronze shells were modeled without the motives cut out.
    • The wall thickness of the shell: 20 mm
    • For a better overview, the calculation was done without the steel structure as well. In those models the wall thickness of the shell is 40 mm.
    • Total height: 12650 mm
    • Mass of the steel structure: 8713.2 kg
    • Mass of the bronze shell (20mm thickness): 222276.8 kg
    • Total mass: 230990 kg
    • Mass of the bronze shell (40 mm thickness): 444550 t
  • The Model
    • The geometry
    Inner column
  • The Model
    • 2. Boundary conditions
    • Fixed supports at the base pilars ground level
    • Global Gravity: 9.81 m/s 2
    • Material data
    • Mesh
    • Number of elements: 9057
    • Number of nodes: 7025
    • Number of shell elements: 7488
    Steel Bronze Density [kg/m 3 ] 7850 8800 Elastic Modulus[MPa] 210000 110000 Poisson Ratio 0.3 0.3
  • Load Cases
    • Gravity
    • Gravity + Constant Wind Dir1 perpendicular to Face 1
    • Gravity + Constant Wind Dir2 perpendicular to Face 2 and 3
    • Gravity + Constant Wind Dir3: perpendicular to Face 1, 2, 3 inner and Face 7
    • Gravity + Constant Wind Dir4: perpendicular to Face1 inner and Face7
    • (See figures on the next page.)
    • The constant wind load is assumed and substituted with a 600 N/m2 pressure.
  • Load Cases 2nd load case Perpendiculat to Face 1 3rd load case Perpendiculat to Face 2 and 3 4th load case Perpendicular to Face 1, 2, 3 inner and Face 7 5th load case
  • Results: 1. Gravity Displacement [mm] Total displacement: 41.45 mm Deformation scale: 20x Original model Wall thickness of the shell: 20 mm Model without steel structure Wall thickness of the shell: 40 mm Total displacement: 10.283 mm Deformation scale: 20x X Y Z min -0.348 -0.015 -1.694 max 2.97 9.86 0.026 X Y Z min -1.011 -0.047 -6.328 max 15.039 41.148 0.1
  • Results: 1. Gravity
    • Equivalent stress max: 78.996 MPa
    • Deformation scale: 20x
  • Results: 2. Gravity + Constant Wind Dir1 Displacement [mm] Total displacement: 7.303 mm Deformation scale: 20 x Original model Wall thickness of the shell: 20 mm Model without steel structure Wall thickness of the shell: 40 mm Total displacement: 10.023 mm Deformation scale: 20 x X Y Z min -0.144 -2.098 -1.241 max 2.207 6.851 0.1805 X Y Z min -0.5308 -1.76 -1.67 max 3.61 9.19 0.13
  • Results: 2. Gravity + Constant Wind Dir1
    • Equivalent stress max: 63.474 MPa
    • Deformation scale: 20x
  • Results: 3. Gravity + Constant Wind Dir2 Displacement [mm] Total displacement: 24.814 mm Deformation scale: 20 x Original model Wall thickness of the shell: 20 mm Model without steel structure Wall thickness of the shell: 40 mm Total displacement: 62.064 mm Deformation scale: 20 x X Y Z min -0.376 -0.051 -4.083 max 8.01 23.603 0.052 X Y Z min -0.81 -0.072 -9.69 max 23.141 61.589 0.15
  • Results: 3. Gravity + Constant Wind Dir2
    • Equivalent stress max: 207.662 MPa
    • Deformation scale: 20x
  • Results: 4. Gravity + Constant Wind Dir3 Displacement [mm] Total displacement: 5.17 mm Deformation scale: 50 x Original model Wall thickness of the shell: 20 mm X Y Z min -2.091 -4.689 -0.745 max 0.16 4.59 0.972
  • Results: 4. Gravity + Constant Wind Dir3 Displacement [mm] Total displacement: 55.031 mm Deformation scale: 50 x Model without steel structure Wall thickness of the shell: 40 mm X Y Z min -0.938 -0.058 -7.355 max 17.47 54.627 0.11
  • Results: 4. Gravity + Constant Wind Dir3
    • Equivalent stress max: 173.595 MPa
    • Deformation scale: 50x
  • Results: 5. Gravity + Constant Wind Dir4 Displacement [mm] Total displacement: 14.581 mm Deformation scale: 20 x Original model Wall thickness of the shell: 20 mm Model without steel structure Wall thickness of the shell: 40 mm Total displacement: 75.63 mm Deformation scale: 20 x X Y Z min -0.599 -0.016 -2.266 max 3.702 13.785 0.0651 X Y Z min -1.12 -0.078 -10.809 max 25.875 75.078 0.18
  • Results: 5. Gravity + Constant Wind Dir4
    • Equivalent stress max: 128.541 MPa
    • Deformation scale: 50x
  • Conclusion
    • The Gravity causes a total deformation of over 40 mm if the steel structure is not included, even with the wall thickness of 40 mm.
    • The steel structure can be seen behind the bronze shell if the motives are cut out.
    • The wind pressure in the calculation is a rough approach, the loads coming from the weather (e.g. wind blows, heat), should be examineed more detaled.
    • The mode shapes and the vibration should be taken into consideration.
  • Our suggestions
    • A composite material could substitute the bronze shell.
    • Advantages of the use of composite material:
      • The composite material has lower density than the bronze, therefore the weight of the shell would be significantly less.
      • The visible steel structure would not be necessary to use in the monument.
      • The surface can be treated, so the visual effect would be similar as the original idea.
      • Useing metal blowing technology causes a special visual effect: the color seems to be different from the different angle of view.
      • The wall thickness of the composite shell can be changeable (thicker at ground level), therefore the monument would be stiffer.
      • The manufacturing tool can be formed as the motives are already cut out while produceing the shell parts.
      • The composite material is weather resistant.
    • For a more punctual offer, we would need a fully dimensioned 3D model.