Inverse Design of Frames for Specified Second-Order Bending Strains
Publication: Journal of Structural Engineering
Volume 127, Issue 5
Abstract
A new inverse design method for frames has been presented by means of an inverse formulation including frame stability effects. Elastic building frames in non-earthquake-prone areas, designed primarily for light horizontal wind loads, are considered. Governing equations based on the well-known second-order slope-deflection equations are derived for fundamental problems for a set of specified member-end fiber bending strains, as a target performance. An explicit expression for the solution stiffnesses is obtained for a hybrid-inverse problem. Further consideration is given for a class where the member stiffness set is determined only by a strain mode such as for a frame consisting of columns under central compression. It is demonstrated that the strain mode of an entire multistory frame can be synthesized by overlapping of the strain modes of decomposed unit frames. The design formulas for the simple models in this paper not only have disclosed the essential characteristics of design solutions but also play the role of initial backbone solutions in the neighborhood of which perturbed solutions can be derived for problems under more practical conditions.
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References
1.
American Institute of Steel Construction (AISC). ( 1989). Specification for structural steel buildings—Allowable stress design, plastic design, Chicago.
2.
Architectural Institute of Japan (AIJ). ( 1996). Recommendations for stability design of steel structures, (in Japanese).
3.
British Standards Institution (BSI). ( 1985). “Structural use of steelwork in building.” BS 5950, Part 1, London.
4.
Chen, W. F., Goto, Y., and Liew, J. Y. R. ( 1996). Stability design of semi-rigid frames, Wiley, New York.
5.
European Committee for Standardisation (CEN). ( 1992). “General rules and rules for buildings (prospective standard for provisional application).” Part 1.1, Eurocode 3: Design of steel structures.
6.
Ito, H. ( 1997). “Strain-constrained stiffness design of building frames via inverse problem formulation with stability consideration.” Dissertation, Kyoto University, Kyoto, Japan (in Japanese).
7.
Kishi, N., Chen, W. F., and Goto, Y. (1997). “Effective length factor of columns in semirigid and unbraced frames.”J. Struct. Engrg., ASCE, 123(3), 313–320.
8.
Lui, E. M. ( 1992). “A novel approach for K factor determination.” Eng. J. AISC, 29(4), 150–159.
9.
Nakamura, Tsuneyoshi ( 1980). Optimum design of building frames, Maruzen, Tokyo (in Japanese).
10.
Nakamura, Tsuneyoshi, and Ito, H. ( 1980). “Optimum design of building frames for specified fundamental period, Part 1: Fundamental solution, Part 2: Effect of column axial force.” Summaries of the technical papers of 1980 meeting of AIJ, Architectural Institute of Japan, Tokyo, 947–950 (in Japanese).
11.
Nakamura, Tsuneyoshi, and Ito, H. ( 1997). “Strain-constrained stiffness design via inverse formulation of an elastic frame with small lateral design loads.” J. Struct. Constr. Engrg., Tokyo, 497, 81–89 (in Japanese with English summary).
12.
Nakamura, Tsuneyoshi, and Kosaka, I. ( 1986). “Strain-controlled design of plane elastic building frames subjected to horizontal loads.” J. Struct. Constr. Engrg., Tokyo, 363, 1–11 (in Japanese with English summary).
13.
Nakamura, Tsuneyoshi, and Kosaka, I. (1989). “Design of plane building frames for specified fundamental natural period and strain mode.”J. Struct. Engrg., Tokyo, 35, 035B, 9–17 (in Japanese).
14.
Nakamura, Tsuneyoshi, and Takenaka, Y. ( 1983). “Optimum design of multistory multispan frames for prescribed elastic compliance.” J. Struct. Mech., 11(3), 271–295.
15.
Nakamura, Tsuneyoshi, and Tsuji, M. (1996). “Inverse damping perturbation for stiffness design of shear buildings.”J. Struct. Engrg., ASCE, 122(6), 617–625.
Information & Authors
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Published In
Journal of Structural Engineering
Volume 127 • Issue 5 • May 2001
Pages: 579 - 586
History
Received: Mar 30, 1999
Published online: May 1, 2001
Published in print: May 2001
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