Nonlinear static analysis of continuous multi-span suspension bridges
This paper performs the static analysis of multi-span suspension bridges using the deflection theory. Applying the deflection theory conventionally used in three-span suspension bridges to multi-span suspension bridges, the horizontal forces of the main cables due to live loads are obtained by conve...
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| Published in | International journal of steel structures Vol. 13; no. 1; pp. 103 - 115 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Korean Society of Steel Construction
01.03.2013
한국강구조학회 |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1598-2351 2093-6311 |
| DOI | 10.1007/s13296-013-1010-0 |
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| Abstract | This paper performs the static analysis of multi-span suspension bridges using the deflection theory. Applying the deflection theory conventionally used in three-span suspension bridges to multi-span suspension bridges, the horizontal forces of the main cables due to live loads are obtained by converting the suspension system to the equivalent beam system and using the compatibility equation of cables for four spans. Iterative computations are used due to nonlinearity of the differential equations. The results, such as deflections and moments of girders and horizontal forces of the main cable, are compared with the finite element analysis for verification. The resultant values from two methods are almost the same. Finally, using the linearized deflection theory, parametric studies are performed by influence line analyses for parameters such as the side-to-center span ratio, the tower stiffness ratio and the sag to span ratio. From the parametric studies, alternatives to reduce displacements of girders in the center span and girder moments of all spans are investigated. |
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| AbstractList | This paper performs the static analysis of multi-span suspension bridges using the deflection theory. Applying the deflection theory conventionally used in three-span suspension bridges to multi-span suspension bridges, the horizontal forces of the main cables due to live loads are obtained by converting the suspension system to the equivalent beam system and using the compatibility equation of cables for four spans. Iterative computations are used due to nonlinearity of the differential equations.
The results, such as deflections and moments of girders and horizontal forces of the main cable, are compared with the finite element analysis for verification. The resultant values from two methods are almost the same. Finally, using the linearized deflection theory, parametric studies are performed by influence line analyses for parameters such as the side-to-center span ratio, the tower stiffness ratio and the sag to span ratio. From the parametric studies, alternatives to reduce displacements of girders in the center span and girder moments of all spans are investigated. KCI Citation Count: 19 This paper performs the static analysis of multi-span suspension bridges using the deflection theory. Applying the deflection theory conventionally used in three-span suspension bridges to multi-span suspension bridges, the horizontal forces of the main cables due to live loads are obtained by converting the suspension system to the equivalent beam system and using the compatibility equation of cables for four spans. Iterative computations are used due to nonlinearity of the differential equations. The results, such as deflections and moments of girders and horizontal forces of the main cable, are compared with the finite element analysis for verification. The resultant values from two methods are almost the same. Finally, using the linearized deflection theory, parametric studies are performed by influence line analyses for parameters such as the side-to-center span ratio, the tower stiffness ratio and the sag to span ratio. From the parametric studies, alternatives to reduce displacements of girders in the center span and girder moments of all spans are investigated. |
| Author | Yoo, Hoon Choi, Dong-Ho Gwon, Sun-Gil Na, Ho-Sung |
| Author_xml | – sequence: 1 givenname: Dong-Ho surname: Choi fullname: Choi, Dong-Ho organization: Department of Civil Engineering, Hanyang University – sequence: 2 givenname: Sun-Gil surname: Gwon fullname: Gwon, Sun-Gil organization: Department of Civil Engineering, Hanyang University – sequence: 3 givenname: Hoon surname: Yoo fullname: Yoo, Hoon organization: R&D Center, Hyundai Engineering and Construction – sequence: 4 givenname: Ho-Sung surname: Na fullname: Na, Ho-Sung email: saintna@hanyang.ac.kr organization: Department of Civil Engineering, Hanyang University |
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| Cites_doi | 10.1016/0898-1221(93)90076-8 10.1061/(ASCE)1084-0702(2004)9:5(453) 10.1680/tsfab.32361 10.3846/jcem.2010.41 10.1061/(ASCE)1084-0702(2001)6:4(227) 10.1061/(ASCE)0733-9399(1984)110:3(392) |
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| Keywords | Multi-span suspension bridge Linearized deflection theory Influence line Sag ratio |
| Language | English |
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| References | GimsingN JCable supported bridges concept and design19972nd Ed.New YorkWiley PetersenCStahlbau19933rd Ed.Braunschweig, GermanyVieweg Verlag SemperBFinite element methods for suspension bridge modelsComputers and Mathematics with Applications19932557791122878410.1016/0898-1221(93)90076-8 GrigorjevaTJuozapaitisAkamaitisZStatic analysis and simplified design of suspension bridges having various rigidity of cablesJournal of Civil Engineering and Management201016336337110.3846/jcem.2010.41 NogamiKSomeyaAYamasawaTElastoplastic behaviors of four long-span suspension bridges and practical rigidity of towersJournal of Structural Engineering200652901912 OhshimaHSatoKWatanabeNStructural Analysis of Suspension BridgesJournal of Engeering Mechanics1984110339240410.1061/(ASCE)0733-9399(1984)110:3(392) RubinHVogelUBaustatik ebener Stabwerke1982Cologne, GermanyStahlbau Handbuch, Stahlbau-Verlags-GmbH196206 UlstrupC CRating and preliminary analysis of suspension bridgesJournal of Bridge Engineering1993119926532679 LewisW JTension structures2003LondonThomas Telford10.1680/tsfab.32361 NogamiKOkuboAMorizonoYElastoplastic behaviors and Ultimate Strength of 4 Super Long- Span Suspension BridgesJournal of Structural Engineering201056A110 WollmannG PPreliminary analysis of suspension bridgesJournal of Bridge Engineering20016422723310.1061/(ASCE)1084-0702(2001)6:4(227) YoshidaOOkudaMMoriyaTStructural characteristics and applicability of four-span suspension bridgeJournal of Bridge Engineering20049545346310.1061/(ASCE)1084-0702(2004)9:5(453) IrvineH MCable structures1981Cambridge, MassMIT University Press H Rubin (1010_CR9) 1982 B Semper (1010_CR10) 1993; 25 C Petersen (1010_CR8) 1993 W J Lewis (1010_CR4) 2003 O Yoshida (1010_CR13) 2004; 9 K Nogami (1010_CR6) 2010; 56A H M Irvine (1010_CR3) 1981 C C Ulstrup (1010_CR11) 1993; 119 K Nogami (1010_CR5) 2006; 52 N J Gimsing (1010_CR1) 1997 G P Wollmann (1010_CR12) 2001; 6 H Ohshima (1010_CR7) 1984; 110 T Grigorjeva (1010_CR2) 2010; 16 |
| References_xml | – reference: WollmannG PPreliminary analysis of suspension bridgesJournal of Bridge Engineering20016422723310.1061/(ASCE)1084-0702(2001)6:4(227) – reference: GrigorjevaTJuozapaitisAkamaitisZStatic analysis and simplified design of suspension bridges having various rigidity of cablesJournal of Civil Engineering and Management201016336337110.3846/jcem.2010.41 – reference: NogamiKOkuboAMorizonoYElastoplastic behaviors and Ultimate Strength of 4 Super Long- Span Suspension BridgesJournal of Structural Engineering201056A110 – reference: NogamiKSomeyaAYamasawaTElastoplastic behaviors of four long-span suspension bridges and practical rigidity of towersJournal of Structural Engineering200652901912 – reference: IrvineH MCable structures1981Cambridge, MassMIT University Press – reference: RubinHVogelUBaustatik ebener Stabwerke1982Cologne, GermanyStahlbau Handbuch, Stahlbau-Verlags-GmbH196206 – reference: YoshidaOOkudaMMoriyaTStructural characteristics and applicability of four-span suspension bridgeJournal of Bridge Engineering20049545346310.1061/(ASCE)1084-0702(2004)9:5(453) – reference: LewisW JTension structures2003LondonThomas Telford10.1680/tsfab.32361 – reference: SemperBFinite element methods for suspension bridge modelsComputers and Mathematics with Applications19932557791122878410.1016/0898-1221(93)90076-8 – reference: OhshimaHSatoKWatanabeNStructural Analysis of Suspension BridgesJournal of Engeering Mechanics1984110339240410.1061/(ASCE)0733-9399(1984)110:3(392) – reference: PetersenCStahlbau19933rd Ed.Braunschweig, GermanyVieweg Verlag – reference: UlstrupC CRating and preliminary analysis of suspension bridgesJournal of Bridge Engineering1993119926532679 – reference: GimsingN JCable supported bridges concept and design19972nd Ed.New YorkWiley – volume: 119 start-page: 2653 issue: 9 year: 1993 ident: 1010_CR11 publication-title: Journal of Bridge Engineering – volume: 25 start-page: 77 issue: 5 year: 1993 ident: 1010_CR10 publication-title: Computers and Mathematics with Applications doi: 10.1016/0898-1221(93)90076-8 – volume: 52 start-page: 901 year: 2006 ident: 1010_CR5 publication-title: Journal of Structural Engineering – volume: 9 start-page: 453 issue: 5 year: 2004 ident: 1010_CR13 publication-title: Journal of Bridge Engineering doi: 10.1061/(ASCE)1084-0702(2004)9:5(453) – start-page: 196 volume-title: Baustatik ebener Stabwerke year: 1982 ident: 1010_CR9 – volume-title: Tension structures year: 2003 ident: 1010_CR4 doi: 10.1680/tsfab.32361 – volume-title: Cable supported bridges concept and design year: 1997 ident: 1010_CR1 – volume: 56A start-page: 1 year: 2010 ident: 1010_CR6 publication-title: Journal of Structural Engineering – volume: 16 start-page: 363 issue: 3 year: 2010 ident: 1010_CR2 publication-title: Journal of Civil Engineering and Management doi: 10.3846/jcem.2010.41 – volume: 6 start-page: 227 issue: 4 year: 2001 ident: 1010_CR12 publication-title: Journal of Bridge Engineering doi: 10.1061/(ASCE)1084-0702(2001)6:4(227) – volume: 110 start-page: 392 issue: 3 year: 1984 ident: 1010_CR7 publication-title: Journal of Engeering Mechanics doi: 10.1061/(ASCE)0733-9399(1984)110:3(392) – volume-title: Cable structures year: 1981 ident: 1010_CR3 – volume-title: Stahlbau year: 1993 ident: 1010_CR8 |
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| Title | Nonlinear static analysis of continuous multi-span suspension bridges |
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