Research Article
Jul 1972

Analysis of Hipped Roof Hyperbolic Paraboloid Structures

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Publication: Journal of the Structural Division
Volume 98, Issue 7

Abstract

The results of a finite element analysis of a hipped roof hyperbolic paraboloid shell are presented. The results emphasize the stresses in the supporting and the ridge beams. Significant departure is shown between the calculated results and those predicted by simplified analyses such as by membrane theory. The importance of considering beam weight is stressed. The finite elements used in the analysis are flat triangular elements for the shell and linearly tapered beam sections. The shell element has 27 degrees-of-freedom with the use of midside nodes. The beam elements have 16 degrees-of-freedom with the use of midlength nodes.

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Journal of the Structural Division
Volume 98Issue 7July 1972
Pages: 1575 - 1583

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Published in print: Jul 1972
Published online: Feb 1, 2021

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William C. Schnobrich, M.ASCE
Prof. of Civ. Engrg., Univ. of Illinois, Urbana, IL

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