• Title/Summary/Keyword: two-span continuous bridge

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Optimal Design of Two-Span Steel Box Girder Bridges by LRFD (LRFD에 의한 2경간 강박스형교 최적화 설계)

  • 국중식;신영석
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.04a
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    • pp.173-180
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    • 2001
  • In this study steel box girders used as main members of a two span continuous steel bridge, are optimally designed by a Load and Resistance Factor Design method(LRFD) using an numerical optimization method. The width, height, web thickness and flange thickness of the main girder are set as design variables, and light weight design is attempted by choosing the cross-sectional area as an object function. We studied the results of steel box girders and compared with those of 1-type girders. The main program is coded with C++ and connected with optimization modul ADS. which is coded with FORTRAN.

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A novel longitudinal seismic self-centering system for RC continuous bridges using SMA rebars and friction dampers

  • Xiang, Nailiang;Jian, Nanyi;Nonaka, Tetsuya
    • Structural Engineering and Mechanics
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    • v.82 no.4
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    • pp.435-444
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    • 2022
  • This study proposes a novel longitudinal self-centering earthquake resistant system for reinforced concrete (RC) continuous bridges by using superelastic shape memory alloy (SMA) reinforcement and friction dissipation mechanism. The SMA reinforcing bars are implemented in the fixed piers to provide self-recentering forces, while the friction dampers are used at the movable substructures like end abutments to enhance the energy dissipation of the bridge system. A reasonable balance between self-centering and energy dissipation capacities should be well achieved by properly selecting the parameters of the SMA rebars and friction dampers. A two-span continuous bridge with one fixed pier and two abutments is chosen as a prototype for illustration. Different longitudinal earthquake resistant systems including the proposed one in this study are investigated and compared. The results indicate that compared with the designs of over-dissipation (e.g., excessive friction) and over-self-centering (e.g., pure SMAs), the proposed system with balanced design between self-centering and energy dissipation would perform satisfactorily in controlling both the peak and residual displacement ratios of the bridge system.

Results and implications of the damage index method applied to a multi-span continuous segmental prestressed concrete bridge

  • Wang, Ming L.;Xu, Fan L.;Lloyd, George M.
    • Structural Engineering and Mechanics
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    • v.10 no.1
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    • pp.37-51
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    • 2000
  • Identification of damage location based on modal measurement is an important problem in structural health monitoring. The damage index method that attempts to evaluate the changes in modal strain energy distribution has been found to be effective under certain circumstances. In this paper two damage index methods using bending strain energy and shear strain energy have been evaluated for numerous cases at different locations and degrees of damage. The objective is to evaluate the feasibility of the damage index method to localize the damage on large span concrete bridge. Finite element models were used as the test structures. Finally this method was used to predict the damage location in an actual structure, using the results of a modal survey from a large concrete bridge.

Load Distribution Factors for Two-Span Continuous I-Girder Bridges (2경간 연속 I-형교의 하중분배계수)

  • Back, Sung Yong;Shin, Gi Su
    • Journal of Korean Society of Steel Construction
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    • v.19 no.2
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    • pp.233-245
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    • 2007
  • Previous finite element studies have shown that AASHTO Standard load distribution factor (LDF) equations appear to be conservative for longer spans and larger girder spacing, but too permissible for short spans and girder spacing. AASHTO LRFD specification defines the distribution factor equation for girder spacing, span length, slab thickness, and longitudinal stiffness. However, this equation requires an iterative procedure to correctly determine the LDF value due to an initially unknown longitudinal stiffness parameter. This study presents a simplified LDF equation for interior and exterior girders of two-span continuous I-girder bridges that does not require an iterative design procedure. The finite element method was used to investigate the effect of girder spacing, span length, slab thickness, slab width, and spacing and size of bracing. The computer program, GTSTRUDL, was used to idealize the bridge superstructures as the eccentric beam model, the concrete slab by quadrilateral shell elements, steel girders by space frame members, and the composite action between these elements by rigid links. The distribution factors obtained from these analyses were compared with those from the AASHTO Standard and LRFD methods. It was observed through the parametric studies that girder spacing, span length, and slab thickness were the dominant parameters compared with others. The LRFD distribution factor for the interior girder was found to be conservative in most cases, whereas the factor for the exterior girder to be unconservative in longer spans. Furthermore, a regression analysis was performed to develop simplified LDF formulas. The formulas developed in this study produced LDF values that are always conservative to those from the finite element method and are generally smaller than the LDF values obtained from the AASHTO LRFD specification. The proposed simplified equation will assist bridge engineers in predicting the actual LDF in two-span continuous I-girder bridges.

A comprehensively overall track-bridge interaction study on multi-span simply supported beam bridges with longitudinal continuous ballastless slab track

  • Su, Miao;Yang, Yiyun;Pan, Rensheng
    • Structural Engineering and Mechanics
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    • v.78 no.2
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    • pp.163-174
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    • 2021
  • Track-bridge interaction has become an essential part in the design of bridges and rails in terms of modern railways. As a unique ballastless slab track, the longitudinal continuous slab track (LCST) or referred to as the China railway track system Type-II (CRTS II) slab track, demonstrates a complex force mechanism. Therefore, a comprehensive track-bridge interaction study between multi-span simply supported beam bridges and the LCST is presented in this work. In specific, we have developed an integrated finite element model to investigate the overall interaction effects of the LCST-bridge system subjected to the actions of temperature changes, traffic loads, and braking forces. In that place, the deformation patterns of the track and bridge, and the distributions of longitudinal forces and the interfacial shear stress are studied. Our results show that the additional rail stress has been reduced under various loads and the rail's deformation has become much smoother after the transition of the two continuous structural layers of the LCST. However, the influence of the temperature difference of bridges is significant and cannot be ignored as this action can bend the bridge like the traffic load. The uniform temperature change causes the tensile stress of the concrete track structure and further induce cracks in them. Additionally, the influences of the friction coefficient of the sliding layer and the interfacial bond characteristics on the LCST's performance are discussed. The systematic study presented in this work may have some potential impacts on the understanding of the overall mechanical behavior of the LCST-bridge system.

An Experimental and Analytical Study on the Impact Factors of Two-Span Continuous Plate Girder Bridge Due to Road Surface Roughness and Bump (노면조도와 단차를 고려한 2경간연속 판형교의 충격계수에 관한 실험 및 해석적 연구)

  • Park, Young Suk;Chung, Tae Ju
    • Journal of Korean Society of Steel Construction
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    • v.9 no.3 s.32
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    • pp.309-321
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    • 1997
  • The prediction of the dynamic response of a bridge resulting from passing vehicles across the span is a significant problem in bridge design. In this paper. the static and dynamic experiments are performed to understand the dynamic behavior of an actual two-span steel plate girder bridge. The road surface roughness of the roadway and bridge deck is directly measured by Intelligent Total Station. Numerical scheme to obtain the dynamic responses of the bridges in consideration of measuring road surface roughness and 3-D vehicle model is also presented. The bridge and vehicle are modeled as 3-D bridge and vehicle model, respectively. The main girder and concrete deck are modeled as beam and shell elements, respectively and rigid link is used for the structure between main girder and concrete deck. Bridge-vehicle interaction equations are derived and the impact factors of the responses for different vehicle speeds are calculated and compared with those predicted by several foreign specifications.

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Distribution of Time-dependent Strains In the Top Slab of PSC Box Girder Bridge (PSC박스거더교 상부슬래브에서의 시간의존적 변형률 분포)

  • Kim, Young-Jin;Kim, Byung-Suk;Kawrk, Jong-Won
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.05a
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    • pp.538-541
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    • 2006
  • PSC(Prestressed Concrete) box girder bridges have been widely applied in Korea. A number of these bridges have been built by the segmental construction method in the longitudinal direction and(or) vertically along the cross-sectional depth with MSS(Moving Scaffolding System). An actual 2-span continuous PSC box girder bridge of Kyeongbu high speed railway was selected and instrumented with 96 vibrating wire embedded type strain gauges and 2 thermocouples. The long-term behavior of the bridge was monitored through two major points located at mid-span of the first span and at the internal support. Data collection started just after the casting of the first segment (U section). Concrete strain and temperature data were gathered regularly by a data logger (CR10) during 600 days under and after construction. According to this measurement, the parabolic longitudinal strain distribution in the top slab at mid-span is shown. And also, the same distribution at the interior support is shown. The compressive strains at the cantilever region are larger than at the web position and the internal part in the top slab. Strain difference largely happened during the early construction period.

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Effect of temperature gradient on track-bridge interaction

  • Kumar, Rakesh;Upadhyay, Akhil
    • Interaction and multiscale mechanics
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    • v.5 no.1
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    • pp.1-12
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    • 2012
  • Considerable longitudinal rail forces and displacements may develop in continuous welded rail (CWR) track on long-span bridges due to temperature variations. The track stability may be disturbed due to excessive relative displacements between the sleepers and ballast bed and the accompanied reduction in frictional resistance. For high-speed tracks, however, solving these problems by installing rail expansion devices in the track is not an attractive solution as these devices may cause a local disturbance of the vertical track stiffness and track geometry which will require intensive maintenance. With reference to temperature, two actions are considered by the bridge loading standards, the uniform variation in the rail and deck temperature and the temperature gradient in deck. Generally, the effect of temperature gradient has been disregarded in the interaction analysis. This paper mainly deals with the effect of temperature gradient on the track-bridge interaction with respect to the support reaction, rail stresses and stability. The study presented in this paper was not mentioned in the related codes so far.

Dynamic effect of high-speed trains on simple bridge structures

  • Adam, Christoph;Salcher, Patrick
    • Structural Engineering and Mechanics
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    • v.51 no.4
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    • pp.581-599
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    • 2014
  • In this paper the overall dynamic response of simple railway bridges subjected to high-speed trains is investigated numerically based on the mechanical models of simply supported single-span and continuous two-span Bernoulli-Euler beams. Each axle of the train, which is composed of rail cars and passenger cars, is considered as moving concentrated load. Distance, magnitude, and maximum speed of the moving loads are adjusted to real high-speed trains and to load models according to Eurocode 1. Non-dimensional characteristic parameters of the train-bridge interaction system are identified. These parameters permit a spectral representation of the dynamic peak response. Response spectra assist the practicing engineers in evaluating the expected dynamic peak response in the design process of railway bridges without performing time-consuming time history analyses.