Plastic Design under Combined Stresses

by Donald E. Grierson, (M.ASCE), Prof.; Solid Mechanics Div., Dept. of Civ. Engrg., Univ. of Waterloo, Waterloo, Ontario, Canada,
Ahmed A. Aly, Research Asst.; Solid Mechanics Div., Dept. of Civ. Engrg., Univ. of Waterloo, Waterloo, Ontario, Canada,


Serial Information: Journal of the Engineering Mechanics Division, 1980, Vol. 106, Issue 4, Pg. 585-607


Document Type: Journal Paper

Errata: (See full record)

Abstract: Based on matrix algebra and linear programming techniques, a general mathematical model is developed for the rigid-plastic optimal design of planar and space frameworks under combined stresses. An iterative design procedure is introduced to account for the nonlinear growth in plastic capacity of the elements of the structure as they vary in size to meet the requirements of the design. The convergence properties of the iterative procedure are investigated for three different design approaches. Two simple examples are presented to illustrate the theory for plane and space frameworks.

Subject Headings: Space frames | Plastic design | Matrix (mathematics) | Linear functions | Computer programming | Mathematical models | Structural models

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