Showing papers by "George I. N. Rozvany published in 1970"
TL;DR: In this paper, a formulation of the optimal frame and slab problems is presented, in which specified serviceability and collapse criteria are satisfied in addition to the objective of minimizing the material consumption.
Abstract: A formulation of the optimal frame and slab problems is presented, in which specified serviceability and collapse criteria are satisfied in addition to the objective of minimizing the material consumption. The approach considers alternative loading conditions, is based on the lower bound principle and, with appropriate assumptions, leads to the solution of a linear programming problem. Examples of application to a two-bay frame and a circular slab illustrate the approach. Possible refinements, such as the consideration of axial forces and nonlinearity of the moment-steel area relation, are investigated.
13 citations
TL;DR: In this article, the authors presented optimum lower bound solutions for a circular cylindrical tank unrestrained at the top, and either fixed or hinged around the base, and analyzed the effects of prescribed minimum amounts of reinforcing and of cracking below working load.
Abstract: Lower bound methods have had little application in shell design. The paper presents optimum lower bound solutions for a circular cylindrical tank unrestrained at the top, and either fixed or hinged around the base. Both the optimization method of Rozvany and of Marcal, Prager, and Shield give the same results. A numerical comparison of optimized lower bound design, elastic design, and uniform isotropic yield-line analysis is made. Savings in reinforcement volume of 20% to 25% can be obtained in certain cases. The effects of prescribed minimum amounts of reinforcing and of cracking below working load are analyzed.
5 citations