Research Article
May 1969

Ponding of Liquids on Flat Roofs

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Publication: Journal of the Structural Division
Volume 95, Issue 5

Abstract

Expressions are developed for the moments and deflections of simply-supported, prismatic beams subjected to various loading conditions simultaneous with ponding. These can be combined by a form of superposition to solve cases of combined loadings and different support conditions including continuous beams. The simply-supported beam problem is generalized by means of Fourier series to handle any loading condition plus initial crookedness. An examination of the analogy between the ponded beam and the vibrating beam problem reveals why the critical ponding factor is a function of end conditions and is independent of the type of applied load.

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Published In

Journal of the Structural Division
Volume 95Issue 5May 1969
Pages: 797 - 807

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Published in print: May 1969
Published online: Feb 1, 2021

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James Chinn, M.ASCE
Prof. of Civ. Engrg., Univ. of Colorado, Boulder, Colo.
Abdulwahab H. Mansouri, AM.ASCE
Grad. student in Civ. Engrg., Univ. of Colorado, Boulder, Colo.
Staley F. Adams, M.ASCE
Assoc. Prof. of Engrg. Mechanics, Univ. of Kentucky, Lexington, Ky.

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