1986•Journal of Structural EngineeringRequires access

Flexural‐Torsional Buckling of Arches

John Papangelis, Nicholas S. Trahair

Abstract

A flexural‐torsional buckling theory for circular arches of doubly symmetric cross section is developed. Nonlinear expressions for the axial and shear strains are derived, and these are substituted into the second variation of the total potential to obtain the buckling equation. Closed form solutions are obtained for arches subjected to equal and opposite end moments (uniform bending), and to uniformly distributed radial loads (uniform compression), and for circular rings subjected to uniformly distributed radial loads. The results are compared with previous solutions.

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Key concepts: Buckling, Arch, Structural engineering, Flexural strength, Nonlinear system, Bending, Materials science, Compression (physics)