Two-stage method applied for approximate calculations of selected types of statically indeterminate trusses. (English) Zbl 07342004
Summary: The paper presents examples of approximate calculations of force values in members of selected types of trusses, which are at the same time an internal and external statically indeterminate systems. The two-stage method makes possible the approximate calculation of such trusses by help of, for example, the Cremona’s method. In each stage, a statically determinate truss is considered, pattern of which is defined by removing from the basic truss a suitable number of members. There are also presented results of calculations of the same trusses done by means of suitable computer software together with analyses and comparison of outcomes.
References:
| [1] | Allen, E., Zalewski, W. and Boston Structures Group [2010] Form and Forces: Designing Efficient, Expressive Structures (John Wiley & Sons, Hoboken, New Jersey). |
| [2] | Cywiński, Z. [1976] Theory of Structures in Problems: The Rudiments of Statically Indeterminate Systems, Vol. II (State Scientific Publishing House, Warszawa) (in Polish). |
| [3] | Dyla̧g, Z., Krzemińska-Niemiec, E. and Filip, F. [1989] Theory of Structures (State Scientific Publishing House, Warszawa) (in Polish). |
| [4] | Hibbeler, R. C. [1995] Structural Analysis, 3rd edn. (Prentice Hall, Englewood Cliffs, New Jersey). |
| [5] | Kolendowicz, T. [1993] Theory of Structures for Architects (Arkady, Warszawa) (in Polish). |
| [6] | Makowski, Z. S. [1981] Analysis, Design and Construction of Double-Layer Grids (Applied Science Publishers, London). |
| [7] | Niezgodziński, M. E. and Niezgodziński, T. [1979] Strength of Materials (State Scientific Publishing House, Warszawa) (in Polish). · Zbl 0747.73039 |
| [8] | Przewłócki, J. and Górski, J. [2006] Basis of Theory of Structures (Arkady, Warszawa) (in Polish). |
| [9] | Rȩbielak, J. [2014] “ A two-stage method for an approximate calculation of statically indeterminate trusses,” J. Civil Eng. Arch.8(5), 567-572. |
| [10] | Rȩbielak, J. [2018a] “ Simple method of approximate calculation of statically indeterminate trusses,” Int. J. Comp. Meth.15(1), https://doi.org/10.1142/S0219876218400261. · Zbl 07074004 |
| [11] | Rȩbielak, J. [2018b] “ Examples of applications of two-stage method in calculations of statically indeterminate trusses,” Int. J. Comp. Meth.15(5), https://doi.org/10.1142/S0219876218440097. · Zbl 1469.70006 |
| [12] | Tan, Z.-Q., Jiang, X.-D., He, Y.-S., Ban, S.-H., Xu, R. and Xi, R.-Q. [2018] “ Generalized variational principles for solutions of statically indeterminate trusses under mechanical-thermal-assembly loadings,” J. Eng. Mech.144(1), https://doi.org/04017145:1-5. |
| [13] | Timoshenko, S. P. [1966] History of Strength of Materials (Arkady, Warszawa) (in Polish). |
| [14] | Zienkiewicz, O. C. and Taylor, R. L. [2000] The Finite Element Method (Oxford Press, UK). · Zbl 0991.74002 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
