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Re: Catenary Shape

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Check out "Structures" by Daniel Shodek for a great presentation on
Funicular Structures.

Then if you need to go further:

"An Introduction to Shell Structures, The art and science of vaulting", by
Michele Melarango

"Horizontal Span Building Structures", by Wolfgang Schueller.  This one in
particular has an excellent presentation on dome structures, both continuous
and discrete element.

Paul Feather P.E.
San Diego, CA