Shear lag effects on wide U-section pre-stressed concrete light rail bridges

Boules, Philopateer F.,Mehanny, Sameh S.F.,Bakhoum, Mourad M. Techno-Press 2018 Structural Engineering and Mechanics, An Int'l Jou Vol.68 No.1

Recently, U-section decks have been more and more used in metro and light rail bridges as an innovative concept in bridge deck design and a successful alternative to conventional box girders because of their potential advantages. U-section may be viewed as a single vent box girder eliminating the top slab connecting the webs, with the moving vehicles travelling on the lower deck. U-section bridges thus solve many problems like limited vertical clearance underneath the bridge lowest point, besides providing built-in noise barriers. Beam theory in mechanics assumes that plane section remains plane after bending, but it was found that shearing forces produce shear deformations and the plane section does not remain plane. This phenomenon leads to distortion of the cross section. For a box or a U section, this distortion makes the central part of the slab lagging behind those parts closer to the webs and this is known as shear lag effect. A sample real-world double-track U-section metro bridge is modelled in this paper using a commercial finite element analysis program and is analysed under various loading conditions and for different geometric variations. The three-dimensional finite element analysis is used to demonstrate variations in the transverse bending moments in the deck as well as variations in the longitudinal normal stresses induced in the cross section along the U-girder's span thus capturing warping and shear lag effects which are then compared to the stresses calculated using conventional beam theory. This comparison is performed not only to locate the distortion, warping and shear lag effects typically induced in U-section bridges but also to assess the main parameters influencing them the most.

Shear lag effects on wide U-section pre-stressed concrete light rail bridges

Philopateer F. Boules,Sameh S.F. Mehanny,Mourad M. Bakhoum 국제구조공학회 2018 Structural Engineering and Mechanics, An Int'l Jou Vol.68 No.1

Recently, U-section decks have been more and more used in metro and light rail bridges as an innovative concept in bridge deck design and a successful alternative to conventional box girders because of their potential advantages. U-section may be viewed as a single vent box girder eliminating the top slab connecting the webs, with the moving vehicles travelling on the lower deck. U-section bridges thus solve many problems like limited vertical clearance underneath the bridge lowest point, besides providing built-in noise barriers. Beam theory in mechanics assumes that plane section remains plane after bending, but it was found that shearing forces produce shear deformations and the plane section does not remain plane. This phenomenon leads to distortion of the cross section. For a box or a U section, this distortion makes the central part of the slab lagging behind those parts closer to the webs and this is known as shear lag effect. A sample real-world double-track U-section metro bridge is modelled in this paper using a commercial finite element analysis program and is analysed under various loading conditions and for different geometric variations. The three-dimensional finite element analysis is used to demonstrate variations in the transverse bending moments in the deck as well as variations in the longitudinal normal stresses induced in the cross section along the U-girder’s span thus capturing warping and shear lag effects which are then compared to the stresses calculated using conventional beam theory. This comparison is performed not only to locate the distortion, warping and shear lag effects typically induced in U-section bridges but also to assess the main parameters influencing them the most.

전달행렬법에 의한 변단면 곡선 상자형 거더교의 정적해석

김용희 ( Kim Yong-hee ),이윤영 ( Lee Yoon-young ) 한국구조물진단유지관리공학회 2003 한국구조물진단유지관리공학회 논문집 Vol.7 No.4

근래에 와서 도로교량의 형식 선정에서 미관에 대한 고려가 더욱 더 강조되는 추세 있으며, 미적으로 뛰어난 곡선교의 가설이 자연적으로 선호된다. 전달행렬법은 이론의 체계가 알기 쉽고, 응용범위가 넓은 점에서 구조해석법으로 범용성이 있는 것으로 주목되어 왔다. 전달행렬법에 의한 변단면 곡선 상자형교의 정적해석을 유한요소법과 비교하여 잘 일치함으로써 프로그램의 타당성을 검증하였다. 곡률반경과 중심각에 따른 해석 및 변단면 곡선식에 따른 지간비를 구하여 최적지간비와 변단면 비를 순수비틀이론에 의한 해석치를 분석하였다. The state-of-art of curved box girder bridge with cross section design has advanced in various area. In these days, several analytical techniques for behaviors of curved box girder bridges cross section are available to engineers. The transfer matrix method is extensively used for the structural analysis because its merit in the theoretical background and applicability. The technique is attractive for implementation on a numerical solution by means of a computer program coded in Fortran language with a few elements. To demonstrate this fact, it gives good results which compare well with finite element method. Therefore, this paper proposed the static analysis method of curved box bridge with cross section by transfer matrix method based on pure-torsional theory and the optimal span ratio /variable cross section ratio of 3 span continuous curved box girder bridge.

Numerical investigations on the effect of mean incident wind on flutter onset of bridge deck sections

M. Keerthana,P. Harikrishna 국제구조공학회 2022 Structural Engineering and Mechanics, An Int'l Jou Vol.82 No.4

The effect of mean angle of wind attack on the flutter critical wind speed of two generic bridge deck cross-sections, viz, one closed box type streamlined section (deck-1) and closed box trapezoidal bluff type section with extended flanges/overhangs (deck-2) type of section have been studied using Computational Fluid Dynamics (CFD) based forced vibration simulation method. Owing to the importance of the effect of the amplitude of forcing oscillation on the flutter onset, its effect on the flutter derivatives and flutter onset have been studied, especially at non-zero mean angles of wind attack. The flutter derivatives obtained have been used to evaluate flutter critical wind speeds and flutter index of the deck sections at non-zero mean angles of wind attack studied and the same have been validated with those based on experimental results reported in literature. The value of amplitude of forcing oscillation in torsional degree of freedom for CFD based simulations is suggested to be in the range of 0.5° to 2°, especially for bluff bridge deck sections. Early onset of flutter from numerical simulations, thereby conservative estimate of occurrence of instability has been observed from numerical simulations in case of bluff bridge deck section. The study aids in gaining confidence and the extent of applicability of CFD during early stages of bridge design, especially towards carrying out studies on mean incident wind effects.

Investigation on vortex-induced vibration of a suspension bridge using section and full aeroelastic wind tunnel tests

Yanguo Sun,Mingshui Li,Haili Liao 한국풍공학회 2013 Wind and Structures, An International Journal (WAS Vol.17 No.6

Obvious vortex induced vibration (VIV) was observed during section model wind tunnel tests for a single main cable suspension bridge. An optimized section configuration was found for mitigating excessive amplitude of vibration which is much larger than the one prescribed by Chinese code. In order to verify the maximum amplitude of VIV for optimized girder, a full bridge aeroelastic model wind tunnel test was carried out. The differences between section and full aeroelastic model testing results were discussed. The maximum amplitude derived from section model tests was first interpreted into prototype with a linear VIV approach by considering partial or imperfect correlation of vortex-induced aerodynamic force along span based on Scanlan’s semi-empirical linear model. A good consistency between section model and full bridge model was found only by considering the correlation of vortex-induced force along span.

Investigation on vortex-induced vibration of a suspension bridge using section and full aeroelastic wind tunnel tests

Sun, Yanguo,Li, Mingshui,Liao, Haili Techno-Press 2013 Wind and Structures, An International Journal (WAS Vol.17 No.6

Obvious vortex induced vibration (VIV) was observed during section model wind tunnel tests for a single main cable suspension bridge. An optimized section configuration was found for mitigating excessive amplitude of vibration which is much larger than the one prescribed by Chinese code. In order to verify the maximum amplitude of VIV for optimized girder, a full bridge aeroelastic model wind tunnel test was carried out. The differences between section and full aeroelastic model testing results were discussed. The maximum amplitude derived from section model tests was first interpreted into prototype with a linear VIV approach by considering partial or imperfect correlation of vortex-induced aerodynamic force along span based on Scanlan's semi-empirical linear model. A good consistency between section model and full bridge model was found only by considering the correlation of vortex-induced force along span.

Nominal Moment Capacity of Hybrid Composite Sections using HSB600 High-Performance Steel

윤석구 한국강구조학회 2013 International Journal of Steel Structures Vol.13 No.2

This paper contains a parametric study to develop provisions for predicting the nominal moment capacity of hybrid composite girders using HSB600 high-performance steel in the positive bending region. The ultimate moment capacity and the ductility of a wide range of hybrid composite sections are calculated using moment-curvature analysis, and the plastic moment of each section is obtained using simple plastic theory. The obtained moment capacity and the ductility of hybrid composite sections are compared to the previous research work and the current AASHTO LRFD's design equations. The comparison results show that there are considerable differences in moment capacity distribution between the hybrid composite sections and the conventional composite sections. It was also observed that the hybrid composite sections have sufficient rotation capacity similar to the conventional composite sections. Based on the results of the parametric study, new design equations are proposed for predicting the nominal moment capacity of hybrid composite sections. It is expected that the new design equations can be applied to simple supported or continuous hybrid composite beams in plastic design.

Flutter suppression of long-span suspension bridge with truss girder

Wang, Kai,Liao, Haili,Li, Mingshui Techno-Press 2016 Wind and Structures, An International Journal (WAS Vol.23 No.5

Section model wind tunnel test is currently the main technique to investigate the flutter performance of long-span bridges. Further study about applying the wind tunnel test results to the aerodynamic optimization is still needed. Systematical parameters and test principle of the bridge section model are determined by using three long-span steel truss suspension bridges. The flutter critical wind at different attack angles is obtained through section model flutter test. Under the most unfavorable working condition, tests to investigate the effects that upper central stabilized plate, lower central stabilized plate and horizontal stabilized plate have on the flutter performance of the main beam were conducted. According to the test results, the optimal aerodynamic measure was chosen to meet the requirements of the bridge wind resistance in consideration of safety, economy and aesthetics. At last the credibility of the results is confirmed by full bridge aerodynamic elastic model test. That the flutter reduced wind speed of long-span steel truss suspension bridges stays approximately between 4 to 5 is concluded as a reference for the investigation of the flutter performance of future similar steel truss girder suspension bridges.

Vortex-induced oscillations of bridges: theoretical linkages between sectional model tests and full bridge responses

Zhitian Zhang,Yaojun Ge,Zhengqing Chen 한국풍공학회 2014 Wind and Structures, An International Journal (WAS Vol.19 No.3

Vortex-induced oscillation is a type of aeroelastic phenomenon, to which extended structures such as long-span bridges are most susceptible. The vortex-induced vibration (VIV) behaviors of a concerned bridge were investigated conventionally in virtue of wind tunnel tests on string-mounted sectional models. This necessitates the building of a linkage between the response of the sectional model and that of the prototype structure. Although many released literatures have related to this issue and provided suggestions, there is a lack of consistency among them. In this study, some theoretical models describing the vortex-induced structural motion, including the linear empirical model, the nonlinear empirical model and the modified (or generalized) nonlinear empirical model, are firstly reviewed. Then, the concept of equivalent mass density is introduced based on the principle that an equal input of energy should result in identical structural amplitudes. Based on these, the theoretical linkages between the amplitude of a section model and that corresponding to the prototype bridge are discussed with different analytical models. Theoretical derivation indicates that such connections are dependent mainly on two factors, one is the presupposed shape of deformation, and the other is the theoretical VIV model employed. The theoretical analysis in this study shows that, in comparison to the nonlinear empirical models, the linear one can result in obvious larger estimations of the full bridges' responses, especially in cases of cable-stayed bridges.

Flutter suppression of long-span suspension bridge with truss girder

Kai Wang,Haili Liao,Mingshui Li 한국풍공학회 2016 Wind and Structures, An International Journal (WAS Vol.23 No.5

Section model wind tunnel test is currently the main technique to investigate the flutter performance of long-span bridges. Further study about applying the wind tunnel test results to the aerodynamic optimization is still needed. Systematical parameters and test principle of the bridge section model are determined by using three long-span steel truss suspension bridges. The flutter critical wind at different attack angles is obtained through section model flutter test. Under the most unfavorable working condition, tests to investigate the effects that upper central stabilized plate, lower central stabilized plate and horizontal stabilized plate have on the flutter performance of the main beam were conducted. According to the test results, the optimal aerodynamic measure was chosen to meet the requirements of the bridge wind resistance in consideration of safety, economy and aesthetics. At last the credibility of the results is confirmed by full bridge aerodynamic elastic model test. That the flutter reduced wind speed of long-span steel truss suspension bridges stays approximately between 4 to 5 is concluded as a reference for the investigation of the flutter performance of future similar steel truss girder suspension bridges.