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Computational elastoplastic Limit Analysis of the Paderno d’Adda bridge (Italy, 1889)

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The Paderno d’Adda bridge is a historical iron arch bridge built in 1889 for connecting the provinces of Lecco and Bergamo across the Adda river, in northern Italy. The bridge was designed through the so-called Theory of the Ellipse of Elasticity. Its use is two-fold: a railway track lays within the inner deck of its upper continuous beam; automotive traffic runs on top. Today, after 128 years of continuous duty, the viaduct keeps in service, with trains crossing at slow speed and alternated one-way road traffic with no heavy-weight vehicles. Starting from a computational formulation for the elastoplastic Limit Analysis of 3D truss-frame systems, apt to provide the exact limit load multiplier and attached collapse mechanism, the full evolutive piece-wise-linear response of the bridge is derived, for different try-out loading configurations. The structural analysis, wholly original in its computational implementation, aims at outlining a survey on the potential plastic collapse characteristics of the bridge. Results reveal possible structural deficiencies for the upper continuous beam, where main plasticizations appeared. Instead, elements of the piers plasticized only for tests with loading much un-symmetrically located to the crown of the arch and the slender doubly built-in parabolic arch rarely showed some plasticization. This evidences the arch as a robust characteristic beautiful feature of the bridge. Moreover, analyses pointed out that the effect of the normal forces on the elastoplastic response of the bridge shall not be considered as negligible, as instead it may be often considered in the Limit Analysis of frames.
Rocznik
Strony
291--310
Opis fizyczny
Bibliogr. 23 poz., rys., tab., wykr.
Twórcy
autor
  • Università degli Studi di Bergamo, Dipartimento di Ingegneria e Scienze Applicate (Dalmine), viale G. Marconi 5, I-24044 Dalmine (BG), Italy
autor
  • Università degli Studi di Bergamo, Dipartimento di Ingegneria e Scienze Applicate (Dalmine), viale G. Marconi 5, I-24044 Dalmine (BG), Italy
  • Politecnico di Milano, Dipartimento di Ingegneria Civile e Ambientale, piazza L. da Vinci 32, I-20133 Milano, Italy
autor
  • Università degli Studi di Bergamo, Dipartimento di Ingegneria e Scienze Applicate (Dalmine), viale G. Marconi 5, I-24044 Dalmine (BG), Italy
Bibliografia
  • [1] Società Nazionale delle Officine di Savigliano, Viadotto di Paderno sull'Adda (Ferrovia Ponte S. Pietro-Seregno), Tip. e Lit. Camilla e Bertolero, Torino, 1889.
  • [2] V. Nascè, A.M. Zorgno, C. Bertolini, V.I. Carbone, G. Pistone, R. Roccati, Il ponte di Paderno: storia e struttura – Conservazione dell'architettura in ferro, Restauro Anno XIII (73–74) (1984), 215 pages.
  • [3] R. Ferrari, E. Rizzi, On the theory of the ellipse of elasticity as a natural discretisation method in the design of Paderno d'Adda Bridge (Italy), in: 6th Int. Conf. on Structural Analysis of Historical Construction (SAHC08), Bath, UK, 2–4 July 2008, vol. 1, 2008, 583–591, ISBN: 978-0-415-46872-5.
  • [4] R. Ferrari, M. Facheris, E. Rizzi, Structural analysis of the Paderno d'Adda Bridge (Italy, 1889), in: 7th Int. Conference on Structural Analysis of Historical Constructions (SAHC10), Shanghai, China, 6–8 October 2010, Advanced Materials Research, vols. 133–134, 2010, 459–465.
  • [5] R. Ferrari, E. Rizzi, FEM modelling of the Paderno d'Adda bridge (Italy, 1889), in: Proc. of Structural Engineers World Congress (SEWC 2011), Como, Italy, 4–6 April 2011, Book of Abstracts p. 159; CD-ROM Proceedings, Paper 210, 2011, 9 pages.
  • [6] R. Ferrari, G. Cocchetti, E. Rizzi, Elastoplastic structural analysis of the Paderno d'Adda bridge (Italy, 1889) based on Limit Analysis, in: 8th Int. Conf. on Structural Analysis of Historical Constructions (SAHC2012), Ed. Jerzy Jasieńko, Wroclaw, Poland, October 15–17, 2012, vol. 3, 2012, 2171– 2180, ISBN: 978-83-7125-216-7. Also selected to appear in Wiadomości Konserwatorskie – Journal of Heritage Conservation, Stowarzyszenie Konserwatorów Zabytków – Association of Monument Conservators, Poland, Nr. 34/2013, 28-35.
  • [7] R. Ferrari, G. Cocchetti, E. Rizzi, Limit Analysis of a historical iron arch bridge. Formulation and computational implementation, Computers & Structures (2016), http://dx. doi.org/10.1016/j.compstruc.2016.05.007.
  • [8] C. Gentile, A. Saisi, Dynamic assessment of the iron bridge at Paderno d'Adda (1889), in: 7th Int. Conference on Structural Analysis of Historical Constructions (SAHC10), Shanghai, China, 6–8 October 2010, Advanced Materials Research, vols. 133–134, 2010, 709–714.
  • [9] C. Gentile, A. Saisi, Ambient vibration testing and condition assessment of the Paderno iron arch bridge (1889), Construction and Building Materials 25 (9) (2011) 3709–3720.
  • [10] G. Maier, A matrix structural theory of piecewise-linear plasticity with interacting yield planes, Meccanica 5 (1) (1970) 54–66.
  • [11] G. Maier, Piecewise linearization of yield criteria in structural plasticity, Solid Mechanics Archives 1 (2/3) (1976) 239–281.
  • [12] M. Capurso, Limit analysis of continuous media with piecewise linear yield condition, Meccanica 6 (1) (1971) 53–58.
  • [13] P.G. Hodge Jr., Automatic piecewise linearization in ideal plasticity, Computer Methods in Applied Mechanics and Engineering 10 (3) (1977) 249–272.
  • [14] F. Tin-Loi, A yield surface linearization procedure in limit analysis, Mechanical Structures and Machines 18 (1) (1990) 135–149.
  • [15] P.C. Olsen, The influence of the linearization of the yield surface on the load-bearing capacity of reinforced concrete slabs, Computer Methods in Applied Mechanics and Engineering 162 (1–4) (1998) 351–358.
  • [16] M. Jiràsek, Z.P. Bažant, Inelastic Analysis of Structures, Wiley, Chichester, UK, 2002.
  • [17] V. Buljak, G. Cocchetti, A. Cornaggia, T. Garbowski, M. Maier, G. Novati, Materials mechanical characterizations and structural diagnoses by inverse analyses, in: G.Z. Voyiadjis (Ed.), Handbook of Damage Mechanics, Springer Science +Business Media, New York, 2015 (Chapter 20).
  • [18] A. Pipinato, C. Modena, Structural analysis and fatigue reliability assessment of the Paderno bridge, Practice Periodical on Structural Design and Construction, vol. 15(2), May 2010/109, 2010, pp. 109–124.
  • [19] G. Maier, Incremental plastic analysis in the presence of large displacements and physical instabilizing effects, International Journal of Solids and Structures 7 (4) (1971) 345–372.
  • [20] S. Kaliszky, J. Lógó, Plastic behaviour and stability constraints in the shakedown analysis and optimal design of trusses, Structural and Multidisciplinary Optimization 24 (2) (2002) 118–124.
  • [21] D. Wu, W. Gao, F. Tin-Loi, Y.-L. Pi, Probabilistic interval limit analysis for structures with hybrid uncertainty, Engineering Structures 114 (2016) (2016) 195–208.
  • [22] S. Tangaramvong, F. Tin-Loi, D. Wu, W. Gao, Mathematical programming approaches for obtaining sharp collapse load bounds in interval limit analysis, Computers & Structures 125 (2013) (2013) 114–126.
  • [23] Y. Kanno, I. Takewaki, Worst case plastic limit analysis of trusses under uncertain loads via mixed 0–1 programming, Journal of Mechanics of Materials and Structures 2 (2) (2007) 245–273.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-07ce7f73-65c5-402c-9814-a18c8b4c81a0
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