Optimal Flexure Fields for Corners

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


Serial Information: Journal of the Engineering Mechanics Division, 1974, Vol. 100, Issue 4, Pg. 828-833


Document Type: Journal Paper

Abstract: The intention of this technical note is to clarify the somewhat confused situation about the problem of optimal flexure fields for simply supported corners. This problem has far-reaching implications in regard to the existence of solutions in the Prager-Shield theory of optimal plastic design. A solution is presented that satisfies the Prager-Shield optimality criteria for simply supported corners which can be obtained if moment and shear concentrations at the corner are permitted. So-called unidirectional solutions which violate the inequality condition for curvatures in the direction of zero principal moments have been shown to be very highly uneconomical.

Subject Headings: Plastic design | Curvature

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