Technical Notes
Nov 5, 2014

Analytical Solutions for Catenary Domes

Publication: Journal of Engineering Mechanics
Volume 141, Issue 2

Abstract

A new concept for designing a dome is introduced. The dome is inverted from a basket made of catenary strips, thereby maintaining the optimal properties of the catenary. Four kinds of domes are considered: the polygonal catenary dome, the catenary dome of uniform thickness, the catenary dome of uniform stress, and a dome supporting a uniform platform. Given the height and width of the dome, the solutions are in closed form and are unique.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 141Issue 2February 2015

History

Received: Jun 18, 2014
Accepted: Oct 15, 2014
Published online: Nov 5, 2014
Published in print: Feb 1, 2015

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Professor, Dept. of Mathematics, Michigan State Univ., East Lansing, MI 48824 (corresponding author). E-mail: [email protected]
Professor, Dept. of Civil and Environmental Engineering, National Univ. of Singapore, 10 Kent Ridge, Singapore 119260. E-mail: [email protected]

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