LESSON 4.1 · 2:45 · CHAPTER 4 · DOMES AND THE POLE
The isotensoid
For geodesic netting winding there is one dome shape where every fibre carries the same load: the isotensoid. It is built from the equator inward with tan²α = 2 − R₂/R₁, and it is flatter than a hemisphere (about 0.6 radii deep for an opening of a fifth of the radius).
Predict · at 1:04 in the video
For geodesic winding, with the fibres carrying everything, is the ideal dome flatter or rounder than a hemisphere?
Flatter. With a polar opening a fifth of the radius, the isotensoid is about 0.6 of the radius deep. A hemisphere is a full radius.
Further reading
This course is our own. These books go deeper.
- Composite Filament Winding, S. T. Peters (ed.), ASM International, 2011
- Filament Winding: a Unified Approach, S. Koussios, Delft University Press, 2004
About the numbers
Simulations in this lesson are our own. Where a number rests on an assumption, the video marks it with an asterisk and says where it comes from.
Up next · 4.2 · 2:28Where the curve turns