Ponding of Liquids on Flat Roofs

by James Chinn,
A. H. Mansouri,
S. F. Adams,

Serial Information: Journal of the Structural Division, 1969, Vol. 95, Issue 5, Pg. 797-807

Document Type: Journal Paper

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.

Subject Headings: Continuous beams | Load factors | Moment (mechanics) | Displacement (mechanics) | Case studies | Fourier analysis | Vibration | Critical loads |

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