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Dear Prof Vijilant

Can we Design tunnels without a circular shape?.

Examples - Triangle, Square, Rectangle, Kite, Rhombus etc?.

Thanks

Prashant

Hello Prashant

Are you sure all tunnels have a circular shape? They have probably been circular in section initially, because they were drilled. They are holes. How do you make a hole in a piece of wood? With a drill.

And that is how most tunnels are begun. And then, of course, the bottom is filled in after burying cables etc. But of course, a different drill could be used. By using the idea of curves of constant width, a square hole could be drilled. Then a rectangular tunnel by two adjacent square tunnels. This was done by Watts Brothers Tool Works in Wilmerding, PA. They make other drills, that drill sharp-cornered holes in the shape of pentagons, hexagons, and even octagons. Of course, it might be difficult to scale up to the size needed for a tunnel, but the possibility is there. And perhaps the strongest roof of a tunnel should be an inverted catenary. I can't see any use for such shapes as a kite.

Best wishes

vijilant

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Comment | Dear Prof Vijilant Thanks. Thanks & Regards, Prashant S Akerkar |

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