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Practical advanced analysis for semi-rigid space frames Seung-Eock Kim a, * , Se-Hyu Choi b a Department of Civil and Environmental Engineering, Sejong University, 98 Koonja-dong, Kwangjin-ku, Seoul 143-747, South Korea b Construction Technology Research Institute, Sejong University, 98 Koonja-dong, Kwangjin-ku, Seoul 143-747, South Korea Received 15 November 2000; in revised form 15 May 2001 Abstract A practical advanced analysis of semi-rigid space frame is developed. Herein, the nonlinear behavior of beam- to-column connections is discussed, and practical modeling of these connections is introduced. The proposed analysis can predict accurately the combined nonlinear eects of connection, geometry, and material on the behavior and strength of semi-rigid frames. Kishi±Chen power model is used to describe the nonlinear behavior of semi-rigid con- nections. Stability functions are used to capture second-order eects associated with P-d and P-D eects. The column research council tangent modulus and a parabolic function for gradual yielding are used to represent material non- linearity. The load±displacements predicted by the proposed analysis compare well with those available experiments. A case study has been performed for a four story semi-rigid frame. Ó 2001 Elsevier Science Ltd. All rights reserved. Keywords: Advanced analysis; Semi-rigid connection; Geometric nonlinearity; Material nonlinearity; Steel frame 1. Introduction Conventional analysis of steel frame structures is usually carried out under the assumption that the beam-to-column connections are either fully rigid or ideally pinned. However, most connections used in current practice are semi-rigid type whose behavior lies between these two extreme cases. In the AISC- LRFD Speci®cation AISC, 1993), two types of constructions are designated: type fully restrained con- struction; and type partially restrained construction. The LRFD Speci®cation permits the evaluation of the ¯exibility of connections by rational means when the ¯exibility of connections is accounted for in the analysis and design of frames. The semi-rigid connections in¯uence the moment distribution in beams and columns as well as the drift P-D eect) of the frame. One way to account for all these eects in semi-rigid frame design is through the use of a direct second-order inelastic frame analysis known as ``advanced analysis''. Advanced analysis indicates a method that can suciently capture the limit state strength and stability of a structural system and its individual members so that separate member capacity checks are not required. Since the power of International Journal of Solids and Structures 38 2001) 9111±9131 www.elsevier.com/locate/ijsolstr * Corresponding author. Tel.: +82-2-3408-3391; fax: +82-2-3408-3332. E-mail address: [email protected] S.-E. Kim). 0020-7683/01/$ - see front matter Ó 2001 Elsevier Science Ltd. All rights reserved. PII:S0020-768301)00141-X

Practical Advanced Analysis for Semi-Rigid Space Frames - S.E. Kim S.H. Choi

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