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An iterative method of evaluation of elastic-plastic deflections of hyperstatic framed structures

Eine iterative Methode der Auswertung von elastisch-plastischen Verschiebungen für statisch unbestimmte Rahmen

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Summary

The concept of substitutive concentrated elastic-plastic rotations, replacing actual elasticplastic zones is used, together with an iterative method of determination of the bending moment distribution to simplify the evaluation of elastic-plastic deflections of hyperstatic beams and frames.

Übersicht

Die Idee von fiktiven Ersatzrotationen, welche die tatsächlichen elastisch-plastischen Zonen modelliert, wird mit einer iterativen Methode kombiniert, um eine relativ einfache Bestimmung von Biegemomentenfeldern in statisch unbestimmten Balken und Rahmen zu ermöglichen. Die resultierenden Verschiebungen, ergeben sich mit ausreichender Genauigkeit.

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References

  1. Andreaus, U.; Sawczuk, A.: Deflection of elastic-plastic frames at finite spread of yielding zones. Comput. Meth. Appl. Mech. Eng. 39 (1963) 21–36

    Google Scholar 

  2. Andreaus, U.; d'Asdia, P.: Incremental analysis of elastic-plastic frames at finite spread of yielding zones. In “Plasticity Today” ed. A. Sawczuk (to appear)

  3. Argyris, J. H.; Boni, B.; Hindenlang, U.; Kleiber, M.: Finite element analysis of two- and three-dimensional elastic-plastic frames. The natural approach. Com. Meth. Appl. Mech. Eng. 35 (1982) 221–248

    Google Scholar 

  4. Bandyszewski, W.; Sawczuk, A.: Deflection estimation for elastic-plastic beams and frames at finite spread of yielding zones. Arch. Inż. Ląd. 26 (1980) 677–695

    Google Scholar 

  5. Backlund, J.: Large deflections analysis of elastic-plastic beams and frames. Int. J. Mech. Sci. 18 (1976) 269–277

    Google Scholar 

  6. Dorosz, St.: Calculo de desplazamientos de estructuras elastoplasticas. Universidad National Autonoma de Mexico, julio 1980 No. 425

    Google Scholar 

  7. Dorosz, St.; Sawczuk, A.: Deflections of elastic-plastic beams at finite spread of plastic zones. UTAM Symp. Senlis 1980 in “Physical Non-Linearities in Structural Analysis“. Berlin, Heidelberg, New York: Springer 1981

    Google Scholar 

  8. Dorosz, St.; Sawczuk, A.; Biegus, A.; Kowal, Z.; Seidel, W.: Post yield deflections of elastic-plastic beams under uniformly increasing loads. Eng. Trans. 29 (1981) 279–294

    Google Scholar 

  9. Dorosz, St.; König, J. A.: An iterative method of deflection evaluation of elastic-plastic frames (in Polish). IPPT Reports No 46 (1983)

  10. Gerstle, K.; Zarboulas, V.: Elastic-plastic deformations of steel structures. J. Str. Div., ASCE 89 (1963) 179–196

    Google Scholar 

  11. Grierson, D. E.: Deformation analysis of elastic-plastic frames. J. Str. Div. ASCE 98 (1972) 2247–2267

    Google Scholar 

  12. Heyman, J.: Plastic design of frames. Cambridge: Cambridge Univ. Press 1971

    Google Scholar 

  13. Hodge, P. G.: Plastic analysis of structures. New York: Mc Graw Hill 1959

    Google Scholar 

  14. Knudsen, K. E.; Yang, C. H.; Johnston, B. G.; Beedle, L. S.: Plastic strength and deflections of continuous beams. Welding Research supplement Mag. 1953

  15. Lind, N. C.: Analysis of deflection in elastic-plastic frames. J. Str. Div., ASCE 91 (1965) 197–218

    Google Scholar 

  16. Maier, G.; Gierson, D. E.; Best, M. J.: Mathematical programming methods for deformation analysis of plastic collapse. Comput. Struct. 7 (1977) 599–612

    Google Scholar 

  17. PN-76/B-03200 Steel Structures Analysis and Design (in Polish). Wydawnictwo Normalizacyjne, Warsaw 1977

  18. “Recommendations pour le calcul en plasticite des constructions en acier”. Constr. Met. 4 (1975) 53–100

  19. Strzelecki, A.: The influence of deformations on the determination of limit states of steel structures (in Polish), Ph. Thesis, Warsaw Technical University, 1981

  20. Saran, M.; Borkowski, A.: Load carrying capacity of frames taking into account finite displacement. Comput. Struct. 16, 5 (1983) 589–595

    Google Scholar 

  21. Gavarini, C.: Fundamental plastic analysis theorems and duality in linear programming. Ing. Civ. 18 (1966) 11–31

    Google Scholar 

  22. Maier, G.: A matrix structural theory of piecevise linear elastoplasticity with interacting yield planes. Meccanica 5 (1970) 54–66

    Google Scholar 

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Authors and Affiliations

  1. Institute of Fundamental Technological Research, ul. Swietokrzyska 21, 00-049, Warszawa, Polen

    St. Dorosz &  J. A. König

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  1. St. Dorosz
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  2. J. A. König
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Dorosz, S., König, J.A. An iterative method of evaluation of elastic-plastic deflections of hyperstatic framed structures. Ing. arch 55, 202–212 (1985). https://doi.org/10.1007/BF00536414

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  • DOI: https://doi.org/10.1007/BF00536414

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