A GENERAL FORMULATION FOR THE OPTIMUM DESIGN OF FRAMED STRUCTURES.
Abstract
A unified approach to the optimum design of framed structures based on a general matrix formulation is presented. Both elastic behavior, in the form of working stress limitations, and ultimate capacity are considered. The formulation is presented in the form of an iterative set of linear programming problems. The design variables relating to elastic and ultimate behavior are linearly related and the objective function is expressed as a linear function of the design variables. By making assumptions about the member properties and sizes, the constraints are also expressed in linear form. The formulation is initially developed for a structure acted upon by a single set of external loads, and is subsequently generalized to include multiple loads and alternative loading combinations. Yield and working stress limits, which are defined to include the effect of stress interaction, are specified only at member ends. Therefore, loads are restricted to concentrated forces and couples at the joints. A computer program was written to implement the formulation and was used to solve several sample problems. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1970
- Accession Number
- AD0711279
Entities
People
- Steven J. Fenves
- William J. Mccutcheon
Organizations
- University of Illinois Urbana–Champaign