In-Plane Strength of Steel Arches

Abstract

A rational finite element program for the nonlinear elastic-plastic analysis of arches is used in this paper to investigate the in-plane elastic-plastic buckling and strength of circular steel arches. The finite element program considers the effects of large deformations, material nonlinearities, initial geometric imperfection, and residual stresses in predicting the elastic-plastic behaviour of steel arches. Radial loads uniformly distributed around the arch axis, concentrated loads, and distributed loads along the horizontal projection of an arch are studied, which induce either uniform compression or combined bending and compression in the arch. The complex effects of initial imperfection, rise-to-span ratio, residual stresses and the end support conditions on the in-plane elastic-plastic stability and strength of steel arches are included in the study. Useful design equations against in-plane failure are proposed for steel arches under uniform compression and under combined bending and compressive actions.

Finite element simulations of residual stresses in roller bent wide flange sections

“…Inelastic buckling of steel arches is usually governed by flange yielding as stated by Pi and Trahair [33] and Pi et al [34] rather than the attainment of the yield stress in the web. The residual stresses in the flanges, for which a sufficiently accurate estimation has been achieved with the finite element model, are therefore of greater interest compared to the residual stresses in the web.…”

Proposed residual stress model for roller bent steel wide flange sections

“…A classical cold bent residual stress pattern as initially proposed by Timoshenko [24] for solid rectangular sections and suggested by King and Brown [25] (Fig. 3(d)) to be applicable to roller bent wide flange sections, was mentioned by Pi and Bradford [23] and Pi et al [18]. In Fig.…”

“…3(c)). Studies on in-plane buckling have been presented by Pi and Trahair [17] and Pi et al [18]. Finite element analyses on inelastic out-of-plane buckling were carried out by Komatsu and Sakimoto [19], Sakimoto and Komatsu [20], Pi and Trahair [21], Pi and Bradford [22] and Pi and Bradford [23].…”

Geometrical Nonlinearity Analysis of the Steel Network Arch Bridges / Plieninų Tinklinių Arkinių Tiltų Geometrinio Netiesiškumo Vertinimas

“…Ilgainiui tyrimai prasiplėtė ir esant tampriai plastinei bei plastinei stadijoms. Didelis indėlis į pavienių lanksčiai ir standžiai įtvirtintų plieninių arkų elgsenos ypatumus yra įdėtas Australijos mokslininkų, tokių kaip Pi, Trahair ir Bradford, kurie vertino ne tik pavienių arkų darbo stadiją, elemento ir sistemos geometrinius rodiklius (lenkiamasis standis, arkos pakylos aukštis ir tarpatramio ilgis), bet ir pradinius įtempius, geometrinius nuokrypius ir konstrukcijos geometrinį netiesiškumą (Pi, Trahair 1999;Pi, Bradford 2004;Pi et al 2008;Zhao et al 2013). Todėl plieninių pavienių arkų ir arkų, sujungtų su styga pakabomis, geometrinio netiesiškumo vertinimas dažniausiai siejamas su arkos pastovumo užtikrinimu arba stabilumo praradimu (Pi et al 2007).…”