Technical Papers
May 8, 2014

Geometrical Aspects of Lateral Bracing Systems: Where Should the Optimal Bracing Point Be?

Publication: Journal of Structural Engineering
Volume 140, Issue 9

Abstract

This paper describes structural optimization formulations for trusses and applies them to size and geometrically optimize lateral bracing systems. The paper provides analytical solutions for simple and limit cases and uses numerical optimization for cases where analytical solutions are not available. The analysis is based on small displacements, constant or no connection costs, static loads, and elastic behavior. This work provides guidance to improve the common engineering practice of locating the bracing point at the middle or at the top of the bay/story panel.

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Acknowledgments

The authors appreciate constructive comments and insightful suggestions from the anonymous reviewers. We are thankful to the support from the US National Science Foundation under grant CMMI #1335160. We also acknowledge the support from SOM (Skidmore, Owings and Merrill LLP) and from the Donald B. and Elizabeth M. Willett endowment at the University of Illinois at Urbana-Champaign. Any opinion, finding, conclusions or recommendations expressed here are those of the authors and do not necessarily reflect the views of the sponsors.

References

Achtziger, W. (2007). “On simultaneous optimization of truss geometry and topology.” Struct. Multidisciplinary Optim., 33(4–5), 285–304.
AISC. (2011). “Steel construction manual.” 14th Ed., Chicago, IL.
Allahdadian, S., Boroomand, B., and Barekatein, A. R. (2012). “Towards optimal design of bracing system of multi-story structures under harmonic base excitation through a topology optimization scheme.” Finite Elem. Anal. Des., 61, 60–74.
Baker, W. F. (1992). “Energy-based design of lateral systems.” Struct. Eng. Int., 2(2), 99–102.
Bendsøe, M. P., and Sigmund, O. (2003). Topology optimization: Theory, methods and applications, 2nd Ed., Engineering Online Library, Springer, Berlin, Germany.
Ben-Tal, A., and Bendsøe, M. P. (1993). “A new method for optimal truss topology design.” SIAM J. Optim., 3(2), 322–358.
Dorn, W. S., Gomory, R. E., and Greenberg, H. J. (1964). “Automatic design of optimal structures.” J. de Mecanique, 3(1), 25–52.
Felix, J., and Vanderplaats, G. N. (1987). “Configuration optimization of trusses subject to strength, displacement and frequency constraints.” J. Mech. Des., 109(2), 233–241.
Giles, M. B., and Pierce, N. A. (2000). “An introduction to the adjoint approach to design.” Flow, Turbulence and Combustion, 65(3–4), 393–415.
Hansen, S. R., and Vanderplaats, G. N. (1990). “An approximation method for configuration optimization of trusses.” AAIA J., 28(1), 161–168.
Hemp, W. S. (1973). Optimum structures, Oxford University Press, Oxford, U.K.
Karmarkar, N. (1984). “A new polynomial-time algorithm for linear programming.” Combinatorica, 4(4), 373–395.
Kicher, T. P. (1966). “Optimum design-minimum weight versus fully stressed.” J. Struct. Div., 92(6), 265–279.
Kirsch, U. (1990). “On singular topologies in optimum structural design.” Struct. Optim., 2(3), 133–142.
Lev, O. E. (1981). “Topology and optimality of certain trusses.” J. Struct. Div., 107(2), 383–393.
Lipson, S. L., and Gwin, L. B. (1977). “The complex method applied to optimal truss configuration.” Comput. Struct., 7(3), 461–468.
Mazurek, A., Baker, W. F., and Tort, C. (2011). “Geometrical aspects of optimum truss like structures.” Struct. Multidisciplinary Optim., 43(2), 231–242.
Michell, A. G. M. (1904). “The limits of economy of material in frame-structures.” Philosophical Magazine Series 6, 8(47), 589–597.
Mijar, A. R., Swan, C. C., Arora, J. S., and Kosaka, I. (1998). “Continuum topology optimization for concept design of frame bracing systems.” J. Struct. Eng., 541–550.
Neves, M. M., Rodrigues, H., and Guedes, J. M. (1995). “Generalized topology design of structures with a buckling load criterion.” Struct. Multidisciplinary Optim., 10(2), 71–78.
Razani, R. (1965). “Behavior of fully stressed design of structures and its relationship to minimum-weight design.” AAIA J., 3(12), 2262–2268.
Schmidt, L. C. (1962). “Minimum weight layouts of elastic, statically determinate, triangulated frames under alternative load systems.” J. Mech. Phys. Solids, 10(2), 139–149.
Sokół, T. (2011). “A 99 line code for discretized Michell truss optimization written in Mathematica.” Struct. Multidisciplinary Optim., 43(2), 181–190.
Stromberg, L. L., Beghini, A., Baker, W. F., and Paulino, G. H. (2012). “Topology optimization for braced frames: Combining continuum and beam/column elements.” Eng. Struct., 37, 106–124.
Topping, B. H. V. (1983). “Shape optimization of skeletal structures: A review.” J. Struct. Eng., 1933–1951.
Wright, M. H. (2005). “The interior-point revolution in optimization: History, recent developments, and lasting consequences.” Bull. Am. Math. Soc., 42(1), 39–56.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 140Issue 9September 2014

History

Received: May 16, 2013
Accepted: Sep 25, 2013
Published online: May 8, 2014
Published in print: Sep 1, 2014
Discussion open until: Oct 8, 2014

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Authors

Affiliations

Tomás Zegard
Graduate Student, Dept. of Civil and Environmental Engineering, Univ. of Illinois, 205 N. Mathews, Urbana, IL 61801.
William F. Baker
F.ASCE
Structural and Civil Engineering Partner, Skidmore Owings and Merrill LLP, 224 S. Michigan, Suite 1000, Chicago, IL 60604.
Arkadiusz Mazurek
M.ASCE
Structural Engineer, Skidmore Owings and Merrill LLP, 224 S. Michigan, Suite 1000, Chicago, IL 60604.
Glaucio H. Paulino [email protected]
M.ASCE
Professor, Dept. of Civil and Environmental Engineering, Univ. of Illinois, 205 N. Mathews, Urbana, IL 61801 (corresponding author). E-mail: [email protected]

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