Rectangular Grillages of Least Weight

by George I. N. Rozvany, Reader; Monash Univ., Clayton, Victoria, Australia,
Sai R. Adidam, Sr. Teaching Fellow; Monash Univ., Clayton, Victoria, Australia,

Serial Information: Journal of the Engineering Mechanics Division, 1972, Vol. 98, Issue 6, Pg. 1337-1351

Document Type: Journal Paper


Using the Prager-Shield theory of optimal design, it is shown that the minimum weight of both perfectly plastic grillages and elastic grillages of given strength as well as elastic grillages of given stiffness can be determined by considering the moments and displacements of a perfectly plastic-rigid plate having a square locking surface. A comprehensive set of minimum weight solutions are given for square and rectangular grillages having nonpreassigned beam directions and the absolute minimum volumes are shown graphically. The solutions obtained also give a minimum reinforcement volume for fiber-reinforced plates having nonpreassigned fiber directions.

Subject Headings: Minimum weight design | Elastoplasticity | Elastic analysis | Plates | Plastic design | Stiffening | Displacement (mechanics) | Plastics

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