Abstract
In this paper a method for computing the lateral deflection and the failure load for the slender composite columns of the type of concrete encased steel sections which is subjected to axial load with equal end eccentricities in addition to uniform lateral load is described. A computer program is used to calculate the deflection at the center of the column, hence it represents the maximum value, that corresponds to a specified properties of cross section(dimensions and strength of materials), length, and loading condition (axial load, eccentricity and uniform distributed lateral load which is taken as a proportion of the axial load). Relationships between the failure lateral load/axial load ratio and the ratio of steal area to the concrete area of the composite section for different end eccentricities are shown. The relation between the central deflection and uniform distributed load for different axial loads values and end eccentricities are shown too.