Differential Settlement of Hyperbolic Cooling Towers

by Phillip L. Gould, Assoc. Prof. of Civ. and Envir. Engrg.; Washington Univ., St. Louis, MO,

Serial Information: Journal of the Structural Division, 1972, Vol. 98, Issue 10, Pg. 2207-2221

Document Type: Journal Paper


A differential displacement of the supporting system of a hyperbolic cooling tower is modeled by a five column segment of the shell base. An explicit relationship between the relative displacement and edge-load is derived from the Boussinesq solution for a semi-infinite sheet and adapted to the differential settlement model of the shell. Based on an approximate homogeneous solution to the bending theory equations for a hyperboloid of revolution, the boundary conditions are specified in terms of the stress resultants from the consideration of overall equilibrium and compatibility. An example shell with the dimensions of a typical hyperbolic cooling tower is studied to show the in-plane and bending stress resultants due to a unit relative displacement.

Subject Headings: Displacement (mechanics) | Differential settlement | Cooling towers | Structural models | Columns | Boussinesq equations | Homogeneity | Boundary conditions

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