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Abstract

This study, centered around the engineering context of the Wuxue Yangtze River Bridge, addresses the challenge of significant temperature-induced secondary internal forces in the short lower tower column. A novel open lower corbel tower scheme is proposed as a solution. Firstly, comprehensive finite element models are established for both the open lower corbel pylon scheme and the traditional lower continuous beam pylon scheme. These models are employed for finite element analysis to derive bending moments and displacements of the bridge pylon under various loads, including permanent, vehicle, temperature, and wind loads. Subsequently, considering internal force distribution and stiffness, a comparative assessment is made between the open lower corbel cable pylon scheme and the traditional lower continuous beam cable pylon scheme. The findings reveal that the open corbel structure bridge pylon exhibits lower transverse bending moment values under the influence of permanent load, vehicle load, temperature load, and wind load. This reduction is advantageous for mitigating the issue of significant temperature-induced secondary internal forces in the bridge pylon. Additionally, the transverse bridge stiffness of the open lower corbel cable pylon scheme is found to be on par with that of the lower continuous beam cable pylon scheme. Moreover, topology optimization of the original corbel design is accomplished using the relative density method. The computational results demonstrate that the corbel’s stress and deformation under vertical loads meet code requirements. These research findings offer valuable insights for the design and construction of similar projects.
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Authors and Affiliations

Dong Li
1
ORCID: ORCID

  1. The 1st Engineering Company Limited, China Railway Construction Bridge Engineering Bureau Group,116033, Dalian, China
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Abstract

Mathematical package Matlab is a very convenient programming language, used for calculations in the field of linear algebra for scientists and engineers. Its main advantage for civil engineers is the simplicity of the language and the wide range of application in the field of linear statics. This mathematical platformwas used for programming of static calculations of multi-span, continuous, beam bridge structures. In the formulated theoretical approach, the internal forces were calculated using the method of forces. Knowing the influence matrix and load values in the unit states, the envelope of internal forces can be determined. The first step is entering the vector of loads and the second is calculating an envelope using special function. Obtaining the results from individual loads in a variety of operating conditions, it is possible to calculate the global envelope of internal forces and proceed with modifications of the model. The theoretical approach was computationally tested on the example of an alternative design concept of the MA-46 bridge along the A4 motorway. One of the biggest advantages of the discussed computational approach is the wide access to the results of intermediate calculations. Another benefits of working with mathematical packages are improving insight in the field of static calculations and getting used to working with code like in some programs for structural analysis (e.g. SOFiSTiK). The discussed computational approach is a good way to pre-design due to the little time required to compare several variants of solution, so it can be helpful in optimizing the structure.
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Bibliography

[1] P.I. Kattan, Matlab for Beginners: A Gentle Approach. Petra Books, 2008.
[2] W.Wunderlich,W.D. Pilkey, Mechanics of Structures. Variational and Computational Methods. CRC Press, 2002.
[3] A. Guerra, P.D. Kiousis, “Design optimization of reinforced concrete structures”, Computers and Concrete, 2006, vol. 3, no. 5, pp. 313-334.
[4] R.F. Kale, N.G. Gore, P.J. Salunke, “Applications of Matlab in optimization of bridge superstructures”, International Journal of Research in Engineering and Technology, 2014, vol. 3, no. 5, pp. 34-39.
[5] A. Martins, L. Simões, J. Negrão, “Optimum design of concrete cable-stayed bridges”, Engineering Optimization, 2016, vol. 48, no. 5, pp. 772-791, DOI: 10.1080/0305215X.2015.1057057.
[6] A. Martins, L. Simões, J. Negrão, “Optimization of cable forces on concrete cable-stayed bridges including geometrical nonlinearities”, Computers and Structures, 2015, vol. 155, pp. 18-27, DOI: 10.1016/j.compstruc.2015.02.032.
[7] B. Czaplewski, “Projekt mostu drogowego MA-46 w ciagu autostrady A4”. Opiekun: dr inz. Paweł Hawryszków, Politechnika Wrocławska, 2015 (in Polish).
[8] E.C. Hambly, Bridge Deck Behaviour. CRC Press, 1991.
[9] J. Hołowaty, “Numerical Approach for the Live Load Distribution in Road Bridges”, Computer Technology and Application, 2015, vol. 6, pp. 101-106, DOI: 10.17265/1934-7332/2015.02.007.
[10] R. Bareš, Ch.E. Massonnet, Analysis of Beam Grids and Orthotropic Plates by the Guyon–Massonnet-Bareš Method. Lockwood; SNTL, 1968.
[11] J. Biliszczuk, P. Hawryszków, M. Sułkowski, “Kładka Wezowisko w Jadwisinie koło Zegrza”, Inzynieria i Budownictwo, 2009, no. 1/2, pp. 46-48 (in Polish).
[12] J. Biliszczuk, P. Hawryszków, M. Sułkowski, “The design of Snake Footbridge in Jadwisin”, in Concrete structures in Poland 2000-2005. Polish Cement Association, 2006, pp. 12-13.
[13] J. Biliszczuk, P. Hawryszków, M.Wegrzyniak, A. Maury, M. Sułkowski, “Podwieszona kładka dla pieszych z drewna klejonego w Sromowcach Niznych”, Inzynieria i Budownictwo, 2008, no. 1/2, pp. 5-8 (in Polish).
[14] J. Biliszczuk, P. Hawryszków, “Foot and cycling bridge over the Dunajec River in Sromowce Nizne”, in Engineering structures (Inženýrské stavby V4). CKAIT, 2012, pp. 136-143.
[15] H. Zobel, T. Alkhafaji, Mosty drewniane. Warszawa: WKŁ, 2006 (in Polish).
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Authors and Affiliations

Paweł Hawryszków
1
Bronisław Czaplewski
1

  1. Wrocław University of Science and Technology, Faculty of Civil Engineering, ul. Wybrzeze Wyspianskiego 27, 50-370 Wrocław, Poland
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Abstract

In this paper, the stiffness and internal force of the finite element model of a cable-stayed bridge, arch bridge and cooperative system bridge with the same span are analyzed, and the stress characteristics of cooperative system bridge compared with arch bridge and cable-stayed bridge are studied. In the stiffness analysis, the live load deflections of the arch bridge (maximum deflection – 6.07 mm) and the cooperative system bridge (maximum deflection –6.00 mm) are similar, while the cable-stayed bridge (maximum deflection –16.27 mm) has a larger deflection. In the internal force analysis, compared with the internal force of the main girder, it can be seen that the girder of the cooperative system bridge reduces the girder-column effect compared with the cable-stayed bridge. The main girder of the cooperative system bridge reserves more stress than the arch bridge. In the stress analysis of arch rib, the axial force and bending moment of arch rib under dead load of cooperative system bridges are greater than the cooperative system bridge. The maximum difference of axial force and bending moment between arch bridge and cooperative system bridge is 16.2% and 58.8%, but there is no obvious difference under live load. In the stress analysis of the cable tower, the advantages of the cooperative system bridge are more obvious under dead load and live load. In the comparative analysis between the cable and the derrick, the dead load and live load are mainly carried by the derrick, and the derrick bears 84% dead load and 97% live load. The research results can provide reference for the stress analysis of similar bridge structures.
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Authors and Affiliations

Xilong Zheng
1
ORCID: ORCID
Yujun Cui
2
ORCID: ORCID

  1. School of Civil and Architectural Engineering, Harbin University, Harbin, Heilongjiang, China
  2. School of Traffic Engineering, Shenyang Jianzhu University, Shenyang, Liaoning, China
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Abstract

Prestressed anchor cables are active reinforcement to improve slope stability. However, the anchoring is not a permanent guarantee of stability, and the slope retains a potential risk of instability. From the perspective of the internal force of anchor cables, a new early warning method for the safety of the slope is provided, and a slope analysis model is established. With the increase in the strength reduction factor, the internal force increment curves of anchor cables under different prestresses are obtained. The point corresponding to strength reduction factors λ1 and λ2 represents a warning point. Key conclusions are drawn as follows: (1) The internal force of an anchor cable can be used to judge the stability of the slope strengthened by a prestressed anchor cable. (2) A warning index based on the internal force increment ratio of anchor cables is established. (3) The internal force increment ratio of anchor cables eliminates the influence of the initial prestress and is convenient for engineering applications.
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Authors and Affiliations

Jincai Feng
Jiaxin Chen
Jian Li
Yu Zhang
ORCID: ORCID
Jianhua Guo
Hongyong Qiu

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