One-dimensional finite element analysis of thin-walled box-girder bridge
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TECHNICAL PAPER
One‑dimensional finite element analysis of thin‑walled box‑girder bridge Virajan Verma1 · K. Nallasivam1 Received: 24 October 2019 / Accepted: 4 April 2020 © Springer Nature Switzerland AG 2020
Abstract Presented herein is a finite element approach for the static analysis of thin-walled box-girder bridge subjected to Indian railway loading using a three-noded one-dimensional beam element. The one-dimensional model is favoured over the threedimensional model due to its simplicity and cost-effectiveness during the initial design and analysis phase of the box-girder bridge. The complex structural actions of thin-walled box-girders such as torsional warping and cross-sectional distortion are taken into consideration in addition to extension, bending and torsion. Keeping in mind these complex actions, the beam element incorporates three extra degrees of freedom in addition to the familiar six degrees of freedom per node. MATLAB coding is done to obtain various response parameters for single as well as double cell box girders. Furthermore, the variation of different response parameters due to changes in radius, span length, load position, varying cross-section and various combinations of Indian rail loads has also been studied. The finite element approach used in this study is validated by solving two numerical examples which are in excellent agreement with the results of previous studies. Keywords Box-girder bridge · Finite element method · Indian railway loading · MATLAB
Introduction The role of transportation in the economic growth and overall development of any country cannot be overlooked. Among various modes of transport, Railways have become the most common and cheapest mode of transport in India. The total route covered by Indian Railways is 69,182 km out of which 64,298 km runs on broad gauge. This rail network is the fourth largest in the world and therefore the different structures, such as the bridges through which it passes, need to be analysed. Thin-walled beam sections have rapidly gained popularity in the construction of various engineering structures since these structures require less weight and greater span lengths. One such application of these sections is in the construction of box-girder bridges that may be straight or curved. The concept of horizontally curved thin-walled box-girder * Virajan Verma [email protected] K. Nallasivam [email protected] 1
Civil Engineering Department, National Institute of Technology Hamirpur, Hamirpur, India
bridges has grown tremendously over the past few years. They are particularly advantageous due to their high flexural and torsional rigidity, as well as the ability to operate smoothly with high volume of traffic. The curved alignment permits greater span length, lesser piers and aesthetically pleasing structure. The curved box-girders are subjected to typical structural actions including extension, bending and torsion; however, due to complex geometry, their cross section gets distorted and may warp out of plane. Extensive res
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