Stability and Strength of Rigid and Semirigid Plane Frameworks
Publication: Journal of Aerospace Engineering
Volume 6, Issue 2
Abstract
A computational technique for incorporating stability and strength into the analysis of plane frameworks is presented. The procedure for computing critical and/or collapse loads and for identifying the corresponding failure mode is outlined. The analysis is based on nonlinear kinematic relations and linearly elastic material behavior except at the plastic hinges—concentrated plasticity. The connections can be treated either as rigid or as flexible. The supports, in general, contain rotational restraints. The developed solution methodology is applicable to all multistory‐multibay orthogonal frames. The examples analyzed in the paper include: (1) A single‐story‐two‐bay frame with rigid joint connections; (2) a single‐story‐three‐bay frame with flexible joint connections; (3) a two‐story‐single‐bay frame with both rigid and flexible joint connections; and (4) a three‐story‐two‐bay frame with rigid joint connections. In all cases the loading consists of a symmetric distribution of concentrated loads on the beams, applied at the midspan positions and at or near the beam‐to‐column joints. The effect of several geometric and structural parameters is assessed.
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References
1.
Frye, J. M., and Morris, G. A. (1975). “Analysis of flexibly connected steel frames.” Can. J. Civ. Engrg., 2(2), 280–291.
2.
Kassimali, A. (1968). “Large deformation analysis of elastic plastic frames.” J. Struct. Div., ASCE, 94(2), 521–547.
3.
Korn, A., and Galambos, T. V. (1968). “Behavior of elastic plastic frames.” J. Struct. Div., ASCE, 94(5), 1119–1142.
4.
Kounadis, A. H., Giri, J., and Simitses, G. J. (1977). “Nonlinear stability analysis of an eccentrically loaded two‐bar frame.” J. Appl. Mech., 44(4), 701–705.
5.
Lui, E. M. (1985). “Effect of connection flexibility and panel zone deformation on the behavior of plane steel frames,” PhD thesis, Purdue University, West Lafayette, Ind.
6.
Mohamed, S. E., and Simitses, G. J. (1989). “Buckling of flexibly—connected gabled frames.” Int. J. Nonlinear Mech., 24(5), 353–364.
7.
Mohamed, S. E., and Simitses, G. J. (1990). “Stability and collapse of semirigidly connected portal frames.” J. Aerosp. Engrg., ASCE, 3(1), 46–63.
8.
Simitses, G. J. (1976). An introduction to the elastic stability of structures. Prentice‐Hall, Englewood Cliffs, N.J.
9.
Simitses, G. J., and Mohamed, S. E. (1988). “Nonlinear analysis of gabled frames under static loads.” J. Construct. Steel Res., 12(1), 1–17.
10.
Simitses, G. J., and Vlahinos, A. S. (1982). “Stability analysis of semirigidly connected simple frames.” J. Constr. Steel Res., 2(3), 19–32.
11.
Vlahinos, A. S., Smith, C. V., Jr., and Simitses, G. J. (1986). “A nonlinear solution scheme for multistory, multibay plane frames.” Comput. and Struct., 22(6), 1035–1045.
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Copyright © 1993 American Society of Civil Engineers.
History
Received: Feb 3, 1992
Published online: Apr 1, 1993
Published in print: Apr 1993
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