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Examples of applications of two-stage method in calculations of statically indeterminate trusses. (English) Zbl 1469.70006

Summary: The paper presents features of the two-stage method as an approximate method of calculations of statically indeterminate trusses. Values of forces determined in particular members are resultants of forces calculated in both stages for two intermediate statically determinate trusses. Each of the intermediate truss is defined by removing, from the statically indeterminate truss, a number of members, which equals the statically indeterminacy of the basic truss. In the paper are presented comparisons between values of forces calculated in members of selected type of statically indeterminate plane truss under load by forces applied in symmetrical way and in asymmetrical way.

MSC:

70C20 Statics
Full Text: DOI

References:

[1] Allen, E., Zalewski, W. and [2010] Form and Forces. Designing Efficient, Expressive Structures (John Wiley & Sons, Hoboken, New Jersey).
[2] Makowski, Z. S. [1981] Analysis, Design and Construction of Double-Layer Grids (Applied Science Publishers, London).
[3] Rȩbielak, J. [2014] “ A two-stage method for an approximate calculation of statically indeterminate trusses,” J. Civil Eng. Arch.78, 567-572.
[4] Rȩbielak, J. [2015] “ Examples of application of principle of superposition in the design of structural systems and in static analyses,” J. Math. Syst. Sci.5, 150-155.
[5] Rȩbielak, J. [2016] “ Simple method of approximate calculation of statically indeterminate trusses,” Proc. 7th Int. Conf. Computational Methods (ICCM2016), 1-4 August 2016, University of California, Berkeley, USA, , pp. 748-753. · Zbl 07074004
[6] Timoshenko, S. P. [1966] History of Strength of Materials (Arkady, Warszawa — in Polish).
[7] Zienkiewicz, O. C. and Taylor, R. L. [2000] The Finite Element Method (Oxford Press, UK). · Zbl 0991.74002
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