This study presents a sequential linear programming approach for the optimal design of skeletal structures satisfying simultaneously both elastic and plastic design criteria at the service and ultimate load levels, respectively. The paper also examines the effective range of the ultimate load constraint by determining the upper and lower bounds of the effective load factor. The design method develops a minimum weight design focused on the merit of plastic design by a linear programming. Three examples of truss and frame are designed to illustrate the features and scope of application of the approach.
This study presents a sequential linear programming approach for the optimal elasticplastic design of truss structures under the ductility factor and the ultimate load factor constraints, Little or no attempt has been made to generally cast the optimal elasticplastic design of skeletal structures.The method is first fomulated by the SLP primal and dual problems for the optimal elastic-plastic design using the holonomic elasticplastic analysis and the limited ductility constraints. Then, a sensitivity analysis based on the shadow cost concept is applied to select the yielding membes and to introduce their plastic deformations, Truss structures are designed to illustrate the applicability of the approach.
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