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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 70
COMPUTATIONAL STEEL STRUCTURES TECHNOLOGY Edited by:
Paper V.5
Optimum Design of Steel I-Section Tapered Girders by using the Lagrange Penalty Function Approach M. Hosseini+ and A. Heydari#
+Lifeline Engineering Department, International Institute of Earthquake Engineering and Seismology, Tehran, Iran
M. Hosseini, A. Heydari, "Optimum Design of Steel I-Section Tapered Girders by using the Lagrange Penalty Function Approach", in , (Editors), "Computational Steel Structures Technology", Civil-Comp Press, Edinburgh, UK, pp 165-174, 2000. doi:10.4203/ccp.70.5.5
Abstract
In this paper a design optimisation procedure for I-section
steel tapered beam by using LaGrange penalty function
approach is presented. The beam has been supposed to have
some lateral supports to prevent it from lateral buckling. The
beam depth values at some pre-selected points or design
nodes including lateral support points have been considered
as the design variables. The beam deflection and the
maximum stress due to the bending moment have been
chosen as the constraint functions. The beam total weight
has been considered as the objective function, which should
be minimised subjected to the aforementioned constraints. It
is assumed that the beam depth between the design nodes
varies linearly, and the width of the beam flange and the
thickness of both flange and web are constant along the
beam. A computer program, STGOD, has been prepared
based on the proposed optimisation procedure. Numerical
results show the high efficiency of the proposed procedure.
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