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Abstract

This paper is a continuation of part I – Theory and verification and presents some examples of application of the Extended Force Density Method. This method allows for form-finding of cable nets under self-weight and is based on the catenary cable element which assures high accuracy of the results and enables solving wide range of problems. Some essentials of the method are highlighted in this article. A computer program UC-Form was developed in order to perform the calculations and graphically present the results. Main advantages and features of the program are presented in this paper. Subsequently the program is used to perform calculations for a few practical examples with taut and slack cables. Input data is provided in order to enable reproducing calculations by other researchers. The outcomes are shown in the paper and prove that EFDM is an efficient tool for analysis of behaviour of cable nets under self-weight in different configurations.
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Bibliography

[1] M. Cuomo, L. Greco, “On the force density method for slack cable nets”, International Journal of Solids and Structures, 2012, vol. 49, pp. 1526–1540, DOI: 10.1016/j.ijsolstr.2012.02.031.
[2] H. Deng, Q.F. Jiang, A.S.K. Kwan, “Shape finding of incomplete cable-strut assemblies containing slack and prestressed elements”, Computers and structures, 2005, vol. 83, pp. 1767–1779, DOI: 10.1016/j.compstruc.2005.02.022.
[3] Eurocode 3 – Design of steel structures – Part 1–11: Design of structures with tension components EN 1993-1-1:2006.
[4] W.J. Lewis, Tension Structures. Form and Behaviour. London: Thomas Telford, 2003.
[5] F. Otto, Tensile structures. Cambridge: MIT Press, 1973.
[6] H.-J. Schek, “The Force Density Method for Form Finding and Computation of General Networks”, Computer Methods in Applied Mechanics and Engineering, 1974, vol. 3, pp. 115–134, DOI: 10.1016/0045-7825(74)90045-0.
[7] I.Wójcik-Grzaba, “Extended Force Density Method for cable nets under self-weight. Part I – Theory and verification”, Archives of Civil Engineering, 2021, vol. 67, no. 4, pp. 139–157, DOI: 10.24425/ace.2021.138491.
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Authors and Affiliations

Izabela Wójcik-Grząba
1
ORCID: ORCID

  1. Warsaw University of Technology, Faculty of Civil Engineering, al. Armii Ludowej 16, 00-637 Warsaw, Poland
Download PDF Download RIS Download Bibtex

Abstract

This paper presents the Extended Force Density Method which allows for form-finding of cable nets under self-weight. Formulation of the method is based on the curved catenary cable element which assures high accuracy of the results and enables solving wide range of problems. Essential rules of the Force Density Method (FDM) are summarized in the paper. Some well-known formula describing behaviour of a catenary cable element under self-weight are given.Next the improved variant ofFDMwith all the theoretical and numerical details is introduced. Iterative procedure for solving nonlinear equations is described. Finally a simple verification example proves correctness of methods assumptions. Two further analyses of parameters crucial for correct use of Extended Force Density Method (EFDM) are presented in order to indicate their initial values for other numerical examples. Accuracy of the results are also investigated. A computer program UC-Form was developed in order to perform the calculations and graphically present the results. Some examples of use of EFDM are presented in details in Part II – Examples of application.
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Authors and Affiliations

Izabela Wójcik-Grząba
1
ORCID: ORCID

  1. Warsaw University of Technology, Faculty of Civil Engineering, al. Armii Ludowej 16, 00-637 Warsaw, Poland

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