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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/12015

Title: Pseudo-fully stressed design approach for optimum design of steel frames
Authors: Al-Salloum, Yousef A.
Keywords: Algorithms; Efficiency; Iterative methods; Optimization; Stresses; Structural frames
Issue Date: 1995
Publisher: John Wiley & Sons Ltd, Chichester, United Kingdom
Citation: International Journal for Numerical Methods in Engineering Volume 38, Issue 20, 1 January 1995, Pages 3513-3527
Abstract: An iterative approach based on the fully-stressed design concept employing scaling to find an efficient search path to the optimum design is developed for statically indeterminate elastic frames subjected to behavioural constraints on member stresses and nodal displacements, and side constraints on member sizes. In this approach the fully stressed solution, which recognizes only the stress constraints, is scaled to the boundary of the feasible design region by employing the other constraints on the structure. The inactive constraints in an iteration are identified by the Kuhn-Tucker conditions. The computed stresses of the inactive constraints, for the time being, are considered to be the allowable values in order to develop a pseudo-fully stressed solution with a new set of allowable stresses. Convergence takes places when the normalized change in the value of the objective function between the scaled and unscaled pseudo-fully stressed designs is less than a specified tolerance. The method employs the established relationships between sectional area, section modulus and moment of inertia of W-shapes to express the objective and constraint functions in terms of one design variable for each member. The efficiency and accuracy of the method in optimization of structural steel frames is demonstrated by sample problems designed for stress, displacement and minimum size constraints. The algorithm is verified against published results.
URI: http://hdl.handle.net/123456789/12015
ISSN: 00295981
Appears in Collections:College of Engineering

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