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Nonlinear in-plane behaviour and buckling of concrete-filled steel tubular arches
Published in J.A. Packer, S. Willibald, Tubular Structures XI, 2017
M.A. Bradford, Y.-L. Pi, R.I. Gilbert
Parabolic arches are funicular with respect to uniformly distributed loading so that under the assumptions of linearity, a parabolic arch is subjected to compressive actions only. Shallow arches exhibit significant geometric nonlinearity, and the assumption of no bending actions not correct and recourse needs to be made to an appropriate nonlinear theory to predict the behaviour of shallow arches. This paper presents such a theory for shallow parabolic arches that comprise of circular hollow sections filled with concrete, which would be encountered in bridge applications. It builds on the solution for the elastic buckling of a pinned parabolic arch developed by Bradford et al. 2004 by including a composite of a hollow steel tube and a concrete infill, and of fixed supports at the base of the arch. The theory herein considers analytically the nonlinear prebuckling equilibrium, as well as the buckling modes that can occur, and design equations are presented in closed form that treat both antisymmetric and symmetric buckling modes. The results are limited to short-term loading, and shrinkage, creep and thermal effects are not included.
Internal Forces in Statically Determinate Structures
Published in Lingyi Lu, Junbo Jia, Zhuo Tang, Structural Mechanics, 2022
Lingyi Lu, Junbo Jia, Zhuo Tang
A parabolic arch is an one whose axis is a parabolic curve, and is commonly used in bridge design, where long spans are needed. This section shows that a parabolic arch is subjected only to axial compression (pure compression) when it supports a vertical uniform load. Such an arch is said to have an ideal arch form.
On the vibration analysis of laminated composite parabolic arches with variable cross-section of various ply stacking sequences
Published in Mechanics of Advanced Materials and Structures, 2020
Ahmad Reshad Noori, Beytullah Temel
Due to their high strength to weight ratio, composite-layered arches has been widely used as structural elements in civil, mechanical, aerospace, marine, and other many important engineering structures. Parabolic arches are curved structural elements shaped like a parabola. These arches are used in the design of structures where long spans are required. During their service life, those structures are often subjected to various dynamic loads which may be the reason for collapse because of vibrations. For this reason, vibration analysis of the composite arches has been very attractive for a long time.