Engineering Transactions,
8, 1, pp. 33-43, 1960
O Przekształceniach Ustroju Czterowęzłowego przez Wymianę Prętów
An arbitrary four-node isostatic field of plane lattice is considered.
The object of the paper is to determine such a system of bars for a pre- scribed load and an invariable configuration of the nodes, that the elastic potential takes its minimum value.
The paper contains theorems on the existence of four-node structures gathering the minimum value of the elastic potential. In addition, it gives the derivation of the relations for determining the minimum value structure. The considerations concerning the four-node lattice field constitute a basis for the analysis of the minimum value of the potential of an arbitrary isostatic plane lattice with transformations by exchanging bars.
The object of the paper is to determine such a system of bars for a pre- scribed load and an invariable configuration of the nodes, that the elastic potential takes its minimum value.
The paper contains theorems on the existence of four-node structures gathering the minimum value of the elastic potential. In addition, it gives the derivation of the relations for determining the minimum value structure. The considerations concerning the four-node lattice field constitute a basis for the analysis of the minimum value of the potential of an arbitrary isostatic plane lattice with transformations by exchanging bars.
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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).
References
M. LÉEVY, La statique graphique, Vol. 4, note I, Paryz 1907.
Z. WASIUTYÁSKI, O przekształceniu kratownic przez wprowadzenie nowych prętów, Inzyn. Budown., 11, 7 (1950).
Z. WASIUTYNSKI, O przekształceniu kratownic przez wymianę prętów, Inzyn. Budown., 1958.