Summary
The required joint stiffness as well as the lateral bracing stiffness of unbraced rectangular frames subjected to vertical loading are discussed in conjunction with their loadcarrying capacity. The sway-buckling mode of such frames (implying a considerable decrease in their load-carrying capacity) can be prevented by chosing a suitable combination of values of the above parameters which satisfy a nonlinear interaction equation at each level of the external loading. By providing a lateral support of very small stiffness to an initially unbraced frame, its load-carrying capacity can be increased up to the level of the corresponding capacity of the same frame with no sidesway.
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References
Bleich, F.: Buckling strength of metal structures. New York: McGraw-Hill 1961.
Von Carman, Th., Tsien, H. S.: The buckling of thin cylindrical shells under axial compression. J. Aeronautical Sci.8, 303–312 (1941).
Donnell, L. H., Wan, C. C.: Effects of imperfections on buckling of thin cylinders and columns under axial compression. J. Appl. Mech.17, 73–83 (1950).
Koiter, W. T.: On the stability of elastic equilibrium. Thesis, Delft, Amsterdam, 1945. English translation, Air Force Flight Dyn. Lab. Tech. Rep. AFFDL-TR-70-25, Feb. 1970.
Hutchinson, J. W., Koiter, W. T.: Postbuckling theory. Appl. Mech. Rev.23, 1353 to 1366 (1970).
Koiter, W. T.: Postbuckling analysis of a simple two-bar frame. (Recent Progr. Appl. Mech.) Stockholm: Almquist and Wiksell 1966.
Kounadis, A. N., Giri, J., Simitses, G. J.: Nonlinear stability analysis of an eccentrically loaded two-bar frame. J. Appl. Mech.44, E4, 701–706 (1977).
Simitses, G. J., Kounadis, A. N.: Buckling of imperfect rigid-jointed frames. J. Eng. Mech.EM3, 569–585 (1978).
Kounadis, A. N.: Nonlinear sway-buckling of an eccentrically loaded frame of two-Timoshenko bars. Ing.-Archiv47, 363–369 (1978).
Kounadis, A. N., Economou, Ph. A.: The effect of various parameters on the nonlinear sway-buckling of a three-bar frame. Acta Mechanica39, 263–270 (1981).
Kounadis, A. N.: Dynamic snap-through buckling of a Timoshenko two-bar frame under a suddenly applied load. ZAMM59, 523–531 (1979).
Chwalla, E.: Die Stabilität lotrecht belasteter Rechteckrahmen. Bauingenieur19, 69 (1938).
Britvec, S. J.: The stability of elastic systems, p. XVII. New York: Pergamon Unified Engineering Series 1973.
Kounadis, A. N.: Buckling and postbuckling of a symmetrically loaded three-hinged portal frame. J. Struct. Mech.8, No. 4, 423–434 (1980).
Simitses, G. J., Giri, J., Kounadis, A. N.: Nonlinear analysis of portal frames. Int. J. For Numer. Math. in Eng.17, 123–132 (1981).
Timoshenko, St., Gere, J.: Theory of elastic stability, p. 66. McGraw-Hill 1961.
Chajes, Al.: Principles of structural stability theory, pp. 180–182. Englewood Cliffs, N. J.: Prentice-Hall 1974.
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Kounadis, A.N. Interaction of the joint and of the lateral bracing stiffnesses for the optimum design of unbraced frames. Acta Mechanica 47, 247–262 (1983). https://doi.org/10.1007/BF01189212
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DOI: https://doi.org/10.1007/BF01189212