Flexural Stresses in Curved Beams of I- and Box-section

Abstract

A mathematical and experimental investigation is made of the stresses resulting from the flexure of curved beams of I- and box-section. It is shown that the flanges, if unsupported, distort under the influence of radial stress-components, and are less effective in carrying the circumferential bending stresses than would appear from ordinary methods of calculation. The distortion is accompanied by transverse bending stresses which, in certain circumstances, may be of greater magnitude than the circumferential stresses, and which at the inner radius combine with the circumferential stresses to introduce critical stress conditions. The distortion effects may be limited by using thick, narrow flanges, by ample fillets between the flanges and the webs, by radial gussets and by suitable disposition of the webs in box-sections. Formulae and charts for the estimation of stresses are presented in convenient form for design purposes.

Effects of curvature on composite material beams

“…Bleich's, 2 Anderson's, 3 and Westrup and Silver's 4 "exact" analyses are reproduced by making the following assumptions: 1) isotropic material cross section, 2) rigid webs in transverse bending (or enforcing symmetry about the y = 0 plane), and 3) negligible web/flange interface radial displacement.…”

Previous Research Works on Reinforced Concrete Curved Beams

“…Furthermore, neutral axis stresses do not vary linearly. Torsional moments occur in a ring beam because the reactions and applied loads do not lie at the ring beam's main axis [1]. At the mid-span between any two successive supports, torsional moments are zero in the case of a circular beam with equally spaced supports.…”

The relationship between weight reduction and force distribution for thin wall structures

“…It was for a curved pipe of circular cross-section subjected to inplane bending loads. Other authors who have published on the problem include Timoshenko [4], Anderson [5], Bleich [6] and Dedow [7]. In all cases, the emphasis was placed on predicting the size of effective width for design purposes.…”