Engineering Transactions, 6, 4, pp. 629-645, 1958

Naprężenia w Trójprzegubowym Łuku Tarczowym

K. Wysiatycki

The plane state of stress is considered for symmetric plate arches
used as bridge structures. The Airy function determining the stresses
in the arches is assumed in the form of a series obtained by separating variables in polar coordinates. The integration constants are obtained from a system of linear equations where the coefficients are either ex-pressed in terms of integrals along the contour of the arch or secure the satisfaction of the boundary conditions at n points of the contour. On the circular contour, the boundary conditions in the form of the Airy function or its derivative are satisfied in an accurate manner. An example of numerical calculation is given, together with stress diagrams for two arches.

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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


H. Bay, Dreigelenkbogenscheibe, Berlin 1933.

K. Girkman, Flächentragwerke, Wieden 1948.

K, Wysiatycki, Rozwiązanie pewnego typu tarczy nieograniczonej,

Rozpr. Inz., 1957.

[in Russian]