Further Studies of Inelastic Beam-Column Problem

Previous work on the solution of an eccentrically loaded beam-column under a concentrated load at the mid-span is extended. Expressions are derived for the moment expressed explicitly in terms of curvature and thrust for various shapes of structural sections with or without the influence of residual stress. Using these results, interaction curves relating axial thrust, lateral load, and slenderness ratio with various values of end eccentricities are presented for the maximum load carrying capacity of the beam-columns. The analytically obtained results are compared with those obtained previously by the numerical integration procedure and good agreement is observed.