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Stability of slender columns on an elastic foundation with generalised end conditions
Estabilidad de columnas esbeltas sobre fundación elástica con condiciones de apoyo generalizadas
DOI:
https://doi.org/10.15446/ing.investig.v33n3.41041Keywords:
bracing, buckling, column, elastic foundation, pile, semi-rigid connection, stability (en)arriostramiento, pandeo, columnas, fundación elástica, pilas, conexiones semirrígidas y estabilidad (es)
Slender columns' lateral stability under compressive axial loads is presented, with uninhibited, partially inhibited and totally inhibited end side-sway, including the effects of semi-rigid connections and a uniformly distributed lateral elastic foundation (Winkler's type) throughout its entire span. The proposed classification of prismatic columns on an elastic foundation and the corresponding stability equations are general and relatively simple to apply, yielding exact results when compared to other analytical methods. The buckling load was obtained by making the determinant of a 4 x 4 matrix equal to zero for columns having side-sway uninhibited or partially inhibited at both ends, and of a 3 x 3 matrix for columns having side-sway inhibited at one or both ends. The effect of semi-rigid connections on the buckling load of five classical column cases is fully discussed and the results compared to those arising from other analytical methods.
Se presenta de una manera clásica la estabilidad lateral de columnas esbeltas bajo cargas axiales de compresión; con derivas en los extremos desinhibidas, inhibidas parcialmente y totalmente inhibidas, incluyendo los efectos de las conexiones semirrígidas y una fundación elástica lateral y uniformemente distribuida (tipo Winkler) a lo largo de toda su luz. La clasificación propuesta en las columnas prismáticas, sobre fundación elástica y las ecuaciones correspondientes de estabilidad son generales y relativamente simples de aplicar; obteniéndose resultados exactos cuando se comparan con otros métodos analíticos. La carga de pandeo se obtiene igualando a cero el valor del determinante de una matriz de 4 x 4, para columnas con deriva lateral desinhibida o parcialmente inhibida en ambos extremos, y de una matriz de 3 x 3 para columnas con deriva lateral inhibida en uno o ambos extremos, respectivamente. Los efectos de las conexiones semirrígidas sobre la carga de pandeo, de cinco casos de columna clásicos, son discutidos y los resultados son comparados con los de otros métodos analíticos.
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References
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