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Optimal Structural Design under Stability Constraints pp 181–203Cite as

Trusses and Frames

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Part of the book series: Mechanics of Elastic Stability ((MEST,volume 13))

Abstract

Trusses, i.e. systems of straight, pin-joined bars, may loose their stability in various ways, described in Chapter 1. In particular in plane trusses three kinds of bifurcation may occur (buckling of individual bars or groups of bars; in-plane loss of stability due to additional tension or compression but without buckling of individual bars; out-of-plane loss of stability resembling lateral buckling of high beams), and snap-through is also possible. Analysis of small vibrations imposed on the prebuckling state makes it possible to determine critical loading in any case; however, very often purely static considerations are sufficient. Geometrical non-linearity of the prebuckling state is in most cases essential. Matrix notation is particularly convenient here and the finite element method leads, as a rule, to exact results.

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  1. Technical University of Cracow, Cracow, Poland

    Antoni Gajewski & Michal Zyczkowski

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  1. Antoni Gajewski
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© 1988 Kluwer Academic Publishers

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Gajewski, A., Zyczkowski, M. (1988). Trusses and Frames. In: Optimal Structural Design under Stability Constraints. Mechanics of Elastic Stability, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2754-4_6

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  • DOI: https://doi.org/10.1007/978-94-009-2754-4_6

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