Local Instability of Horizontally Curved Members

by Charles G. Culver, (A.M.ASCE), Asst. Prof.; Dept. of Civ. Engrg., Carnegie-Mellon Univ., Pittsburgh, PA,
Ralph E. Frampton, Res. Engr.; Struct. Div., Chicago Bridge and Iron, Plainfield, IL,

Serial Information: Journal of the Structural Division, 1970, Vol. 96, Issue 2, Pg. 245-265

Document Type: Journal Paper


An analytical study of the elastic buckling behavior of the flanges of horizontally curved I-shaped girders is presented. The prebuckling flange stresses in the longitudinal and radial directions due to bending and nonuniform torsion are determined using an elasticity approach. The magnitudes of these stresses are compared with those resulting from a strength of materials approach. Using these stresses and the finite difference method, buckling coefficients, k, are obtained by treating the flanges of the girder as elastically restrained curved plates. The influence of curvature and the ratio of bending stress to warping normal stress on these buckling coefficients is evaluated. The buckling coefficients are compared with those for rectangular plates. Width to thickness requirements based on preventing local buckling in the elastic range are also obtained.

Subject Headings: Buckling | Elastic analysis | Flanges | Curvature | Girders | Strength of materials | Plates | Structural behavior

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