Engineering Transactions, 9, 3, pp. 457-493, 1961

Statyka i Stateczność Pryzmatycznych Powłok Ramowo-Kratowych

W. Gutkowski


This paper contains the equations for the determination of the forces, displacements and stability conditions for a shell with a regular net of bars. In particular, the stability of a quadratic shell subjected successively to axial compression and torsion is considered. From these considerations it follows that such a shell, compressed by an axial force loses, its flexural-torsional stability similar to that appearing during the torsion of the classical cylindrical shell.
All the equations are expressed in the difference form.
In conclusion the paper contains a description and the results of an experiment on five-segment shell compressed by an axial force.

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


F. BLEICH, Buckling. Strength of Metal Structures, McGraw-Hill, New York 1952.

E. CHWALLA, F. JOKISCH, Über das ebene Knickproblem des Stockwerkrahmens, Der Stahlbau,

, 1941.

[in Russian]

F. ENGESSER, Zentr. Bauverwaltung, 1891.

[in Russian]

P. JASTRZEBSKI i R. SOLECKI, J. SZYMKIEWICZ, Kratownice, Obliczenia statyczne, Arkady Warszawa 1959.

T. KÁRMÁN, M.A. BIOT, Mathematical Methods in Engineering, McGraw-Hill, New York 1940.

[in Russian]

R. MISES, Zeitsch. angew. Math. Mech., 3, 1923, 407.

R. MISES, RATZERSDORFER, Zeitsch. angew. Math, Mech., 5, 1924, 218.

[in Russian]

L. A. PIPES, Appl. Math. Engineers Phys., McGraw-Hill, New York 1958.

[in Russian]

S. TIMOSHENKO, Theory of Elastic Stability, McGraw-Hill, New York 1936.

S. TIMOSHENKO, I. WOINOWSKY-KRIEGER, Theory of Plates and Shells, McGraw-Hill, New York 1959.

[in Russian]

[in Russian]