Grillages of maximum strength and maximum stiffness

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47 Citations (Scopus)


Assuming a preassigned beam depth, minimum weight solutions are derived for both perfectly plastic and elastic grillages of given strength as well as elastic grillages of given stiffness. The solutions presented also give a minimum reinforcement volume for perfectly plastic fibre-reinforced plates. Common kinematic optimality conditions are stated for the foregoing classes of problems and a method is outlined for finding the optimal solution for any clamped boundary. Morley's claim regarding the non-existence of certain kinematically admissible optimal solutions is shown to be erroneous. The proposed technique is illustrated with a number of examples.

Original languageEnglish
Pages (from-to)651-666
Number of pages16
JournalInternational Journal of Mechanical Sciences
Issue number10
Publication statusPublished - Oct 1972

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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