Using Theorums of Plasticity: History and Concept

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Title: Using Theorums of Plasticity: History and Concept

Author(s): S. Simmonds

Publication: Special Publication

Volume: 183

Issue:

Appears on pages(s): 77-92

Keywords: analysis; design; equilibrium; plasticity; reinforced concrete; segment; slabs; strip method; yield line

Date: 5/1/1999

Abstract:
This paper review the requirements of the upper-and-lower-bound theorems of plasticity as they apply to continuous reinforced concrete slabs. The background and assumptions leading to Johansen's yield line theory (upper-bound) and Hillerborg's strip methods (lower-bond) are presented and the advantages and disadvantages of these two methods are discussed. The segment equilibrium method proposed by Wiesinger is described and presented as an alternative procedure. It is concluded that the theory of plasticity provides a practical solution for the design of continuous reinforced concrete slabs, particularly for slab systems with irregular support geometry.