Lower-Bound Optimal Design of Concrete Structures

by G. I. N. Rozvany, Reader in Civ. Engrg.; Monash Univ., Clayton, Victoria, Australia; formerly, Visiting Assoc. Prof., Dept. of Civ. Engrg., Univ. of Waterloo, Waterloo, Ontario, Canada,
M. Z. Cohn, (M.ASCE), Prof. and Chmn.; Solid Mech. Div., Univ. of Waterloo, Waterloo, Ontario, Canada,

Serial Information: Journal of the Engineering Mechanics Division, 1970, Vol. 96, Issue 6, Pg. 1013-1030

Document Type: Journal 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. 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.

Subject Headings: Structural design | Concrete | Concrete structures | Frames | Slabs | Serviceability | Material failures | Structural failures

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