PSI - Issue 17

Ivan Baláž et al. / Procedia Structural Integrity 17 (2019) 734 – 741 Ivan Baláž, Yvona Koleková, Lýdia Moroczová/ Structural Integrity Procedia 00 ( 2019) 000 – 000

741

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equation (2) are verified by comparisons with values F cr.IQ of the computer program IQ 100. Excellent agreement is achieved between F cr.IQ and F cr (table 1). The presented solution of the compression member on elastic springs may be used also for the calculation of the critical force of the compression member on the elastic foundation. The solution given in the paper creates scientific background needed in the design of the upper chord of the semi-through bridge trusses. Stability of the compression member on elastic foundation is solved in paragraph 5 for three different boundary conditions. The formulae for approximate value of the critical force are given too.

Acknowledgements

Project No. 1/0603/17 is supported by the Slovak Grant Agency VEGA.

References

Bal áž, I., Koleková, Y., Moroczová, L., 2019. Stability Analysis of Compression Member on Elastic Springs, WMCAUS 2019 Symposium, Prague. Bleich, F., 1924. Theorie und Berechnung eiserner Brücken, Springer, Berlin, (in German). Bleich, F., Bleich H., 1937. Beitrag zur Stabilitäntersuchungen des punktweise elastisch gestützten Stabes, Stahlbau, Berlin, (in German). Bubnov, I., G., 1912. Structural Mechanics of Ship, part 1, St. Petersburg, (in Russian). Column Research Committee of Japan (edited by), 1971. Handbook of Structural Stability, Corona, Tokyo. ČSN 73 6205, 1969. Design of steel bridges. Prague, (in Czech). DIN 414-1: 1952-07, Steel structures; stabiliy (buckling of compressed members, lateral torsional buckling, plate buckling), basis of calculations, Rules, Berlin, (in German). EN 1993-2, 2016. Eurocode 3 – Design of structures – Part 2: Steel bridges. Brussels. Engesser, F., 1884. Sicherung offener Brücken gegen Ausknicken, Zbl. Bauverwaltung 4. Engesser, F., 1893. Die Zusatzkräfte und Nebenspannungen eiserner Fachwerkbrücken, Berlin, (in German). Hetényi, M., 1971. Beams on Elastic Foundation, Theory with Application in the Fields of Civil and Mechanical Engineering, 9 th edition, An Arbor, The University of Michigan Press. Chladný, E., 1955. Load-bearing capacity of compressed chords of bridges with open profile, PhD thesis, FCE, STU in Bratislava (in Slovak). Chladný, E., 1974. Buckling of members on elastic supports, Habilitation thesis, FCE, STU in Bratislava (in Slovak). Chwalla, E., 1929. Die Seitensteifigkeit offener Parallel- und Trapezträgerbrücken, Der Bauingenieur, Berlin, (in German). Jasinsky, F., S., 1892. Bull. Society of Engineers of Ways of Communication, St. Petersburg. Jasinsky, F., S., 1894. Ann. Ponts chaussées (in French). Jasinsky, F., S., 1902. Scientific papers of J. S. Jasinsky, Vol. 1, p. 145, St. Petersburg, (in Russian). Pflüger, A., 1950. Stabilitätsprobleme der Elastostatik, Springer, Berlin / Göttingen / Heidelberg. Ratzersdorfer, J., 1936. Die Knickfestigkeit von Stäben und Stabwerken, Springer, Wien, (in German). Rubin, H., Aminbaghai, M., Weier, H., 2010, IQ 100, Vollversion, Feb. 2010, TU Wien. Snitko, N., K., 1952. Stability of member structures, GILSA, (in Russian). Timoshenko, S., P., 1910. Bull. Polytech. Inst., Kiev, (in Russian). Timoshenko, S., P., 1936. Theory of Elastic Stability, Mc Graw-Hill, New York and London. Umanskij, A., A., (Editor), 1960. Handbook of Designer. Computational-theoretical. Gosstrojizdat, Moscow (in Russian). Lejtes, S., D., 1954. Stability of compressed steel members. Moscow, (in Russian). Papkovitch, P., F., 1941. Structural Mechanics of Ship, part 2, Sudpromizdat, (in Russian). Petersen, Ch., 1992. Statik und Stability of Baukonstruktionen, 2 nd edition, Nachdruck, Vieweg, (in German).