Optimal Plastic Design for Bending and Shear

by George I. N. Rozvany, (M.ASCE), Reader in Engrg.; Monash Univ., Clayton, VIC, Australia,

Serial Information: Journal of the Engineering Mechanics Division, 1973, Vol. 99, Issue 5, Pg. 1107-1109

Document Type: Journal Paper


In optimizing flexural systems (such as beams, frames, and grillages) of continuously varying cross section, most authors assume that the specific cost of the member is a function of the bending moment only. However, the Prager-Shield theory of plastic optimal design and its extensions to multiload and multicomponent systems, partially preassigned geometry, and nonconvex cost functions can be applied readily to problems in which the specific cost depends on both bending and shear. In this note, a generalization of Heyman's method is considered but the same technique can be used for an improved optimization of grillages for which only flexure was taken into consideration in previous studies.

Subject Headings: Plastic design | Optimization models | Flexural strength | Beams | Frames | Cross sections | Bending (structural) | Moment (mechanics)

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