### Abstract

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.

Original language | English |
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Title of host publication | ASCE J Eng Mech Div |

Pages | 1337-1351 |

Number of pages | 15 |

Volume | 98 |

Edition | EM6 |

Publication status | Published - Dec 1972 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*ASCE J Eng Mech Div*(EM6 ed., Vol. 98, pp. 1337-1351)

**RECTANGULAR GRILLAGES OF LEAST WEIGHT.** / Rozvany, G.; Adidam, Sai R.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*ASCE J Eng Mech Div.*EM6 edn, vol. 98, pp. 1337-1351.

}

TY - CHAP

T1 - RECTANGULAR GRILLAGES OF LEAST WEIGHT.

AU - Rozvany, G.

AU - Adidam, Sai R.

PY - 1972/12

Y1 - 1972/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0015473987&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0015473987&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0015473987

VL - 98

SP - 1337

EP - 1351

BT - ASCE J Eng Mech Div

ER -