LESSON 4.3 · 2:33 · CHAPTER 4 · DOMES AND THE POLE
Fibres pile up at the pole
The same number of bands crosses every circle of the dome, each taking width w/cos α, so thickness goes as 1/(R cos α) = 1/(c√(Y²−1)): it climbs steeply toward the turnaround. Real band width rounds the spike off about a band width out.
Predict · at 0:50 in the video
Equator radius 200 millimetres, turnaround at 20. How much thicker is the wall at twice the turnaround radius than at the equator?
About 5.7 times. In units of the turnaround radius, R cos alpha is the square root of Y squared minus one. At the equator Y is 10: root 99.
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 · 4.4 · 2:19Wider bands, thinner poles