Challenge

Roof Design

This report presents a curvature study of a roof design utilizing Bow roof prediction calculations. Additionally, it discusses manufacturing techniques relevant to the design process.

The curvature of the roof is a critical factor in its structural integrity and aesthetic appeal. The Bow roof prediction formula provided serves as a basis for calculating the curvature of the roof.

The formula is as follows:

�=[1.73×10−3×�]+[1.85×10−8×(�2)/�]+[1.10×10−3×�]−2.68W=[1.73×10−3×L]+[1.85×10−8×(R2)/t]+[1.10×10−3×l]−2.68

Where:

  • �L = Roof Length in X-Direction [mm]
  • �R = Roof curvature �=2(��×��)��+��R=Rx+Ry2(Rx×Ry)​
  • ��Rx = X curvature
  • ��Ry = Y curvature
  • �t = Roof plate thickness [mm]
  • �l = Bow Roof Span [mm]

The judgment condition for the Bow roof prediction is �<2.7W<2.7. If the calculated �W value exceeds 2.7, adjustments in the design or reinforcements may be necessary.

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