OPTIMAL SLABS AND GRILLAGES OF CONSTRAINED GEOMETRY

G. Rozvany, Chinappa Gangadharaiah, Robin D. Hill

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)

Abstract

Using extensions of Prager's theories of optimal plastic design, slabs and grillages are optimized within various geometrical constraints ensuring simplicity and practicality. The two classes of problems considered are: (1)Grillages consisting of prismatic beams of preassigned directions and length but variable spacing and ″balanced″ prestressed elastic plates having tendons of preassigned directions terminated at the edges only; and (2)slabs with curtailed negative reinforcement of preassigned length. The results given represent rigorous analytical optima as well as identical upper and lower bounds on the limit load. A comprehensive set of solutions is tabulated for rectangular domains with various boundary conditions and the moment volumes for constrained geometry are compared graphically with absolute minimum volumes of unconstrained solutions. Finally, the most economic length of negative reinforcement is calculated for rectangular slabs.

Original languageEnglish
Title of host publicationASCE J Eng Mech Div
Pages755-770
Number of pages16
Volume101
Edition6
Publication statusPublished - Dec 1975

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Reinforcement
Geometry
Tendons
Load limits
Boundary conditions
Plastics
Economics

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Rozvany, G., Gangadharaiah, C., & Hill, R. D. (1975). OPTIMAL SLABS AND GRILLAGES OF CONSTRAINED GEOMETRY. In ASCE J Eng Mech Div (6 ed., Vol. 101, pp. 755-770)

OPTIMAL SLABS AND GRILLAGES OF CONSTRAINED GEOMETRY. / Rozvany, G.; Gangadharaiah, Chinappa; Hill, Robin D.

ASCE J Eng Mech Div. Vol. 101 6. ed. 1975. p. 755-770.

Research output: Chapter in Book/Report/Conference proceedingChapter

Rozvany, G, Gangadharaiah, C & Hill, RD 1975, OPTIMAL SLABS AND GRILLAGES OF CONSTRAINED GEOMETRY. in ASCE J Eng Mech Div. 6 edn, vol. 101, pp. 755-770.
Rozvany G, Gangadharaiah C, Hill RD. OPTIMAL SLABS AND GRILLAGES OF CONSTRAINED GEOMETRY. In ASCE J Eng Mech Div. 6 ed. Vol. 101. 1975. p. 755-770
Rozvany, G. ; Gangadharaiah, Chinappa ; Hill, Robin D. / OPTIMAL SLABS AND GRILLAGES OF CONSTRAINED GEOMETRY. ASCE J Eng Mech Div. Vol. 101 6. ed. 1975. pp. 755-770
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