The massive 'light' concrete roof finally performs well enough to be built!! After much iteration of curvature, height and sectional sizes, it was wonderful to see all the hoope forces acting in the structure. The maximum deflection achieved now, 316mm, is within the permissible limits for such a large span structure. The stresses are also well under control.
As u can see all the compressive stresses gradually increase towards a maximum towards the 'inner hoope'
The first image above shows the roof with a more elliptical inner ring, which resulted in a deflection of 850mm, after raising the height of the roof from 7m to 12m. A slight change in geometry, as suggested by Andrew, to make the inner ring as close to a circle as possible, and also a slight change in curvature, reduced the deflection to just 316mm. What a drastic change in deflection by only a small modification in geometry!!
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