### Abstract

The Prager-Shield cost gradient method for optimal plastic design is applied to problems. A simple, one-dimensional example of the class of problems considered is a perfectly plastic propped cantilever, which is attached to an existing structure at end A but requires a new foundation with a cost phi (R) at end B where R is the reaction at B. Another elementary example is an elastic beam having some given load and, in addition, an unspecified force R which may be provided by some weight (ballast) having a cost phi (R). In both cases, the combined cost of the beam and the support or ballast is to be minimized.

Original language | English |
---|---|

Pages (from-to) | 1143-1145 |

Number of pages | 3 |

Journal | Journal of Applied Mechanics, Transactions ASME |

Volume | 41 Ser E |

Issue number | 4 |

Publication status | Published - Dec 1974 |

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### ASJC Scopus subject areas

- Computational Mechanics
- Mechanics of Materials

### Cite this

*Journal of Applied Mechanics, Transactions ASME*,

*41 Ser E*(4), 1143-1145.

**OPTIMIZATION OF UNSPECIFIED GENERALIZED FORCES IN STRUCTURAL DESIGN.** / Rozvany, G.

Research output: Contribution to journal › Article

*Journal of Applied Mechanics, Transactions ASME*, vol. 41 Ser E, no. 4, pp. 1143-1145.

}

TY - JOUR

T1 - OPTIMIZATION OF UNSPECIFIED GENERALIZED FORCES IN STRUCTURAL DESIGN.

AU - Rozvany, G.

PY - 1974/12

Y1 - 1974/12

N2 - The Prager-Shield cost gradient method for optimal plastic design is applied to problems. A simple, one-dimensional example of the class of problems considered is a perfectly plastic propped cantilever, which is attached to an existing structure at end A but requires a new foundation with a cost phi (R) at end B where R is the reaction at B. Another elementary example is an elastic beam having some given load and, in addition, an unspecified force R which may be provided by some weight (ballast) having a cost phi (R). In both cases, the combined cost of the beam and the support or ballast is to be minimized.

AB - The Prager-Shield cost gradient method for optimal plastic design is applied to problems. A simple, one-dimensional example of the class of problems considered is a perfectly plastic propped cantilever, which is attached to an existing structure at end A but requires a new foundation with a cost phi (R) at end B where R is the reaction at B. Another elementary example is an elastic beam having some given load and, in addition, an unspecified force R which may be provided by some weight (ballast) having a cost phi (R). In both cases, the combined cost of the beam and the support or ballast is to be minimized.

UR - http://www.scopus.com/inward/record.url?scp=0016309791&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0016309791&partnerID=8YFLogxK

M3 - Article

VL - 41 Ser E

SP - 1143

EP - 1145

JO - Journal of Applied Mechanics, Transactions ASME

JF - Journal of Applied Mechanics, Transactions ASME

SN - 0021-8936

IS - 4

ER -