Application of transfer relations to structural analysis of arch bridges

• Autorzy: Zhang J.-L. , Hellmich C. , Mang H. A. , Yuan Y. , Pichler B.
• Języki publikacji: EN

Abstrakty

EN

Transfer relations, representing analytical solutions of the linear theory of slender circular arches, have facilitated structural analysis of segmented tunnel linings. This is the motivation to apply such relations to two examples of circular arch bridges in which the bridge deck is held from the arch by equally spaced hangers. First, the number of hangers is optimized to minimize the maximum bending moment of the arch, thus allowing the latter to come as close as possible to the desired thrust-line behavior. Next, analytical solutions for a “uniform temperature change” are derived and used to demonstrate that a temperature increase of 30 K results in minor redistributions of the inner forces but in significant additional deflections. The two examples have shown that the transfer relations are useful for structural analysis of circular arch bridges, because they reduce the complexity of the analysis to that of structural systems consisting of straight beams.

Słowa kluczowe

EN

segmented tunnel; predesign; first-order arch theory; transfer matrix

PL

tunel segmentowany; szkic projektu; teoria łuku pierwszego rzędu; macierz transferu

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Methods in Engineering and Science
• Rocznik: 2017
• Tom: Vol. 24, no. 3
• Strony: 199--215
• Opis fizyczny: Bibliogr. 15 poz., rys., wykr.

Twórcy

autor

Zhang J.-L.

• Institute for Mechanics of Materials and Structures TU Wien – Vienna University of Technology Karlsplatz 13/202, A-1040 Vienna, Austria
• College of Civil Engineering Tongji University Siping Road 1239, 200092 Shanghai, China

autor

Hellmich C.

• Institute for Mechanics of Materials and Structures TU Wien – Vienna University of Technology Karlsplatz 13/202, A-1040 Vienna, Austria

autor

Mang H. A.

• Institute for Mechanics of Materials and Structures TU Wien – Vienna University of Technology Karlsplatz 13/202, A-1040 Vienna, Austria
• College of Civil Engineering Tongji University Siping Road 1239, 200092 Shanghai, China

autor

Yuan Y.

• College of Civil Engineering Tongji University Siping Road 1239, 200092 Shanghai, China

autor

Pichler B.

• Institute for Mechanics of Materials and Structures TU Wien – Vienna University of Technology Karlsplatz 13/202, A-1040 Vienna, Austria

Bibliografia

• [1] J. Cheng. Optimum design of steel truss arch bridges using a hybrid genetic algorithm. Journal of Constructional Steel Research, 66(8–9): 1011–1017, 2010. http://www.sciencedirect.com/science/article/pii/S0143974X10000775.
• [2] C.L. Dym. End-loaded shallow curved beams. Journal of Structural Engineering, 137(7): 782–784, 2011. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000396.
• [3] C.L. Dym, I.H. Shames. Solid mechanics: Variational approach. McGraw-Hill, New York, 1973.
• [4] C.L. Dym, H.E. Williams. Stress and displacement estimates for arches. Journal of Structural Engineering, 137(1): 49–58, 2011. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000267.
• [5] G.F. Fox. Arch bridges. [In:] W.-F. Chen and L. Duan [Eds.],Bridge engineering handbook, chapter 17, pp. 17/1–17/12. Boca Raton, CRC Press, 1st edition, 2000. http://www.crcnetbase.com/isbn/9781420049596.
• [6] J.M. Gere, B.J. Goodno. Mechanics of Materials. Cengage Learning, Stamford, CT, 8th edition, 2012.
• [7] W. Hemp. Michell framework for uniform load between fixed supports. Engineering Optimization,1(1): 61–69,1974. http://dx.doi.org/10.1080/03052157408960577.
• [8] C. Melbourne. Design of arch bridges. [In:] G. Parke and N. Hewson [Eds.],ICE Manual of Bridge Engineering, pp. 305–344. London: Thomas Telford, 2nd edition, 2008.
• [9] T. Mura. General theory of eigenstrains. [In:]Micromechanics of Defects in Solids, pp. 1–62. Springer, 1982. https://doi.org/10.1007/978-94-011-9306-11.
• [10] Y.-L. Pi, M.A. Bradford. In-plane strength and design of fixed steel I-section arches. Engineering Structures, 26(3): 291–301, 2004. https://doi.org/10.1016/j.engstruct.2003.09.011
• [11] J. Salençon. Handbook of Continuum Mechanics: General Concepts Thermoelasticity. Springer, 2012. https://doi.org/10.1007978-3-642-56542-7.
• [12] T.J.M. Smit. Design and construction of a railway arch bridge with a network hanger arrangement. Master Thesis, Delft University of Technology, Delft, The Netherlands, May 2013. http://homepage.tudelft.nl/p3r3s/MScprojects/reportSmit.pdf
• [13] J. Wheeler. An Elementary Course of Civil Engineering for the Use of Cadets of the United States Military Academy. John Wiley & Sons, 1876.
• [14] T. Yabuki, S. Kuranishi. An ultimate strength design aid for fixed-end steel arches under vertical loads. Proceedings of the Japan Society of Civil Engineers, Structural Engineering/Earthquake Engineering,4(1): 115–123,1987. https://www.jstage.jst.go.jp/article/jscej1984/1987/380/1987380141/pdf.
• [15] J.-L. Zhang, C. Vida, Y. Yuan, C. Hellmich, H.A. Mang, B. Pichler. A hybrid analysis method for displacement-monitored segmented circular tunnel rings. Engineering Structures,148: 839–856, 2017. https://doi.org/10.1016/j.engstruct.2017.06.049.