A NETWORK-TOPOLOGICAL FORMULATION OF THE ANALYSIS AND DESIGN OF RIGID-PLASTIC FRAMED STRUCTURES.
Abstract
Mesh and the node formulations of the plastic analysis and design of rigid-plastic framed structures are developed. The formulations are initially developed for the simple plastic case and the network-topological concepts are then used to obtain a generalization including the effect of stress interaction. In general, the problems obtained are nonlinear programming problems due to the nonlinearities in the yield surface. By linearizing the yield surface the problems become linear programming problems. The results obtained through this linearization are sufficiently accurate for practical purposes. Furthermore, a computer program using linear programming can be implemented much more expediently than one using nonlinear programming. In contrast to the elastic case in which the analysis and design problems follow different patterns in the plastic case the formulation of the two problems is quite similar. By establishing approximate relations between the fully plastic values of the action components for the structural members, the design problem can be readily extended to include stress interaction into the definition of yielding. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1968
- Accession Number
- AD0676738
Entities
People
- Alfonso Gonzalez-caro
- Steven J. Fenves
Organizations
- University of Illinois Urbana–Champaign